Impact of an improved longwave radiation model, RRTM, on the energy budget and thermodynamic properties of the NCAR

Size: px
Start display at page:

Download "Impact of an improved longwave radiation model, RRTM, on the energy budget and thermodynamic properties of the NCAR"

Transcription

1 JOURNAL OF GEOPHYSCAL RESEARCH, VOL. 105, NO. Dll, PAGES 14,873-14,890, JUNE 16, 2000 mpact f an imprved lngwave radiatin mdel, RRTM, n the energy budget and thermdynamic prperties f the NCAR cmmunity climate mdel, CCM3 Michael J. acn, Eli J. Mlawer, and Shepard A. Clugh Atmspheric and Envirnmental Research, nc., Cambridge, Massachusetts Jean-Jacques Mrcrette Eurpean Center fr Medium Range Weather Frecasts, Reading, England Abstract. The effect f intrducing a new lngwave radiatin parameteriatin, RRTM, n the energy budget and thermdynamic prperties f the Natinal Center fr Atmspheric Research (NCAR) cmmunity climate mdel (CCM3) is described. RRTM is a rapid and accurate, crrelated k, radiative transfer mdel that has been develped fr the Atmspheric Radiatin Measurement (ARM) prgram t address the ARM bjective f imprving radiatin mdels in GCMs. Amng the imprtant features f RRTM are its cnnectin t radiatin measurements thrugh cmparisn t the extensively validated line-by-line radiative transfer mdel (LBLRTM) and its use f an imprved and validated water vapr cntinuum mdel. Cmparisns between RRTM and the CCM3 lngwave (LW) parameteriatin have been perfrmed fr single atmspheric prfiles using the CCM3 clumn radiatin mdel and fr tw 5-year simulatins using the full CCM3 climate mdel. RRTM prduces a significant enhancement f LW absrptin largely due t its mre physical and spectrally extensive water vapr cntinuum mdel relative t the current CCM3 water cntinuum treatment. This reduces the clear sky, utging lngwave radiatin ver the trpics by 6-9 W m -2. Dwnward LW surface fluxes are increased by 8-15 W m -2 at high latitudes and ther dry regins. These changes cnsiderably imprve knwn flux biases in CCM3 and ther GCMs. At lw and midlatitudes, RRTM enhances LW radiative cling in the upper trpsphere by K d- and reduces cling in the lwer trpsphere by K d-. The enhancement f dwnward surface flux cntributes t increasing lwer trpspheric and surface temperatures by 1-4 K, especially at high latitudes, which partly cmpensates dcumented, CCM3 cld temperature biases in these regins. Experiments were perfrmed with the weather predictin mdel f the Eurpean Center fr Medium Range Weather Frecasts (ECMWF), which shw that RRTM als impacts temperature n timescales relevant t frecasting applicatins. RRTM is cmpetitive with the CCM3 LW mdel in cmputatinal expense at 30 layers and with the ECMWF LW mdel at 60 layers, and it wuld be relatively faster at higher vertical reslutin. 1. ntrductin A primary bjective f the Atmspheric Radiatin Measurement (ARM) prgram is t develp and test imprved radiatin cdes fr general circulatin mdels (GCMs) used fr climate research and predictin. A recent prduct f this effrt is the radiative transfer mdel RRTM [Mlawer et al., 1997]. Develped fr bth the lngwave and the shrtwave, RRTM utilies the crrelated-k methd fr radiative transfer [e.g., Gdy et al., 1989; Lacis and Oinas, 1991]. This apprach prvides a significant reductin in cmputatinal expense ver the highly accurate line-by-line radiative transfer mdel (LBL- RTM) [Clugh et al., 1992 (hereinafter referred t as CM); Clugh and acn, 1995] n which RRTM is based. By btaining the absrptin cefficients required fr RRTM frm the data-validated LBLRTM, a direct link is established be- Cpyright 2000 by the American Gephysical Unin. Paper number 2000JD /00/2000JD tween ARM radiatin measurements and a radiatin mdel that is sufficiently fast t perate within a GCM. This study incrprates the lngwave versin f RRTM int the NCAR CCM3 climate mdel t establish the feasibility f its use within a GCM and t determine its impact n the simulated climate system. Additinal experiments have been perfrmed in cllabratin with the Eurpean Center fr Medium-Range Weather Frecasts (ECMWF) in which the impact f RRTM n shrt-term weather frecasts is examined [Mrcrette et al., 1998]. Several recent prgrams have cmpared GCM lngwave (LW) radiatin mdels and have shwn them t prduce substantial disagreement. The ntercmparisn f Radiatin Cdes in Climate Mdels (CRCCM) examined ver 30 radiatin mdels fr a variety f atmspheric prfiles and discvered a significant range f W m -2 amng the mdels in clear and cludy sky LW fluxes [Ellingsn et al., 1991]. Over 30 GCMs cntributed t phase 1 f the Atmspheric Mdel ntercmparisn Prject (AMP) in which 10-year simulatins 14,873

2 14,874 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS were perfrmed using prescribed, mnthly varying, sea surface temperatures [Gates, 1992]. Ten mdels frm this grup have been shwn t prduce clear-sky utging lngwave fluxes that regin, the self-cntinuum treatment in CKD prduces a similar result t RSB, thugh there are imprtant spectral differences. CM demnstrated the imprtance f the freignvary by 15 W m -2 ver a wide range f cean temperatures bradened water cntinuum absrptin (due t water-n2 and [Duvel et al., 1997]. An analysis f LW and shrtwave clud radiative frcing frm these simulatins shws intermdel variwater-o2 cllisins) in the cm - spectral regin (which is absent frm RSB), especially in the upper trpatins f W m -2 [Cess et al., 1997]. Fr cmparisn, sphere. The validity f the CKD freign cntinuum has als mre accurate line-by-line mdels agree t within 1 W m -2 and thus prvide an effective fundatin n which t build the been established in the 1600 cm - spectral regin [Tbin et al., 1996]. The CKD cntinuum mdel is an integral cmpnent f next generatin f GCM lngwave mdels. This is the mti- bth LBLRTM and RRTM and cntinues t be validated vatin fr the develpment f RRTM and its applicatin t against surface spectral radiance measurements. The impr- GCM simulatins. tant differences between the CKD and the RSB water vapr Observatinal prgrams are cntinually imprving ur abil- cntinuua, which significantly cntribute t the LW mdel ity t diagnse sme f the GCM lngwave mdel deficiencies. differences presented in this study, are discussed in mre detail Satellite measurements frm the Earth Radiatin Budget Experiment (ERBE) [Barkstrm et al., 1989] are widely used fr in CM. n additin t the present wrk, ther studies have demnstrated the imprtance f including the CKD water cmparisn t tp f the atmsphere (TOA) fluxes frm GCMs. Fr example, the AMP mdel cmparisns f Duvel et al. [1997] shwed that many f the LW mdels tested verestimate the clear-sky utging LW radiatin (OLR) by as much as 10 W m -2 relative t ERBE. A recent cmparisn between CCM3 and ERBE shwed this GCM t verestimate OLR by as much as 5-10 W m -2 in sme trpical regins [Kiehl et al., 1998b]. Hwever, while the spectrally averaged ERBE data prvide valuable bservatins f the glbal TOA energy balance, they d nt prvide imprtant infrmatin n the partitining f the utging energy acrss the LW spectrum caused by the varius atmspheric physical prcesses. Thus they cannt be used t evaluate fully a LW mdel's ability t crrectly represent these prcesses. Future satellite-based instruments (e.g., ARS, AS) will prvide this capability with spectral radiatin measurements frm space. This infrmatin is currently available fr selected infrared and micrwave channels frm the High Reslutin nfrared Radiatin Sunder (HRS) and Micrwave Sunding Unit (MSU) measurements. New studies are using these data t validate GCM LW radiatin mdels as part f the secnd phase f AMP (G. Stephens and J. Bates, persnal cmmunicatin, 1999). Spectral radiance measurements at the surface such as thse frm the ARM clud and radiatin test bed (CART) sites [Stkes and Schwart, 1994] r the Surface Heat Budget f the Arctic Ocean (SHEBA) ce Statin [Mrit and Pervich, 1996] are playing an imprtant rle in highlighting current radiatin mdel deficiencies. n particular, LBLRTM radiances have been extensively validated against bservatins frm the ARM CART sites and frm Antarctica [Walden et al., 1998]. n additin, SHEBA data have made key cntributins t the nging validatin f the water vapr cntinuum mdel f Clugh et al. [1989 (hereinafter referred t as CKD)] fr lw water atmspheres [Tbin et al., 1999]. Additinal measurements f dwnward lngwave radiatin at the surface, especially ver plar areas, have shwn that many GCM radiatin mdels greatly underestimate this quantity [Garratt et al., 1998; Pint et al., 1997]. One f the mst imprtant remaining differences amng line-by-line mdels and the bradband LW radiatin mdels used in GCMs is the treatment f the water vapr cntinuum absrptin. A number f GCM radiatin cdes still use the cntinuum frmulatin f Rberts et al. [1976(hereinafter re- ferred t as RSB)]. This mdel nly includes the effect f the self-bradened water cntinuum (due t cllisins between water mlecules) in the cm - windw regin where its radiative impact is largest. ntegrated ver this windw cntinuum absrptin in climate mdels [e.g., Schwarkpfand Ramaswamy, 1999]. n sectin 2, RRTM and the CCM3 lngwave mdel are described in greater detail, and the mdificatins made t RRTM t prepare it fr implementatin int the GCM are discussed. Single-clumn cmparisns f the radiatin mdels are presented in sectin 3 fr tw clear-sky prfiles and several cludy-sky cases. The 5-year CCM3 climate simulatins using bth LW mdels are described in sectin 4. Bth the initial radiative frcing effect f intrducing RRTM int CCM3 and its impact n the energy budget and thermdynamic prperties f the climate mdel are presented. Sectin 5 cntains a summary f the applicatin f RRTM int the ECMWF weather predictin mdel t demnstrate the use and effect f RRTM n shrt-term GCM simulatins. The paper cncludes with a discussin f the wrk presented. 2. Mdel Descriptins 2.1. RRTM Since line-by-line radiative transfer mdels are inapprpriate fr use in GCMs due t their lengthy executin time, a radiatin cde that effectively reprduces the fluxes and cling rates f a line-by-line mdel, RRTM [Mlawer et al., 1997], has been develped fr the ARM prgram. Althugh RRTM uses the crrelated-k methd fr radiative transfer, the lineby-line apprach played a significant rle in its develpment thrugh the utiliatin f the cmprehensive LBLRTM mdel [CM; Clugh and acn, 1995]. LBLRTM is used bth t cmpute the absrptin cefficients used t generate the k distributins needed by RRTM and t evaluate the RRTM calculatins f fluxes and cling rates. t is f critical imprtance in this cntext that LBLRTM cntinues t be extensively validated against high-reslutin, spectral measurements frm aircraft and the surface (CM). ts verall accuracy is within 2 W m -2 f bservatins, which als reflects current limitatins in the accurate specificatin f atmspheric state (S. A. Clugh et al., manuscript in preparatin, 2000). This prvides an evaluatin f the rapid mdel that is traceable thrugh the cmpar- isn f LBLRTM with bservatin. The standard versin f RRTM was created as a stand-alne LW radiatin mdel and uses 16 spectral bands that were carefully selected t highlight imprtant mlecular absrptin features. The essence f the k-distributin technique invlves rerdering the LBLRTM-generated absrptin cefficients as a functin f wavenumber, k(v), int ascending rder fr each spectral band. Frm this a smthly increasing representatin

3 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS 14,875 f absrptin cefficient is prduced as a functin f cumulative prbability, k(#), fr each layer, which can be integrated with a relatively small set f pints. RRTM uses 16 subintervals, r # pints, in each spectral band t calculate radiance frm the k (9) functins. This prduces a ttal f 256 radiative transfer peratins acrss the LW spectral regin ( cm- ). Gaseus absrptin is included fr H20, CO2, 03, CH4, N20, 02, N2, CFC-11, CFC-12, CFC-22, and CCL 4. n additin, the water vapr cntinuum is treated fllwing the apprach f Clugh et al. [1989] which incrprates bth selfbradening (cllisins between water mlecules) and freign cntinuum includes nly the self-cntinuum absrptin and is limited t the 8-12/ m windw regin. CCM3_LW uses the RSB self-cntinuum and scales the resulting absrptin cefficients t represent the freign cntinuum in this spectral regin. Nevertheless, an imprtant remaining difference between the CKD and the RSB water vapr cntinuua is the effect f freign bradening absrptin in the energetically imprtant cm - spectral regin, which significantly cntributes t the results f this study. CCM3_LW includes a bradband emissivity frmulatin fr absrptin by liquid and ice cluds. The shrtwave radiatin mdel in CCM3, which bradening (cllisins f water with N 2 and 02 mlecules) parameteries absrptin and scattering with a 5-Eddingtn acrss the full LW spectrum. Surface-based spectral radiance bservatins are regularly used t validate and t update this water vapr cntinuum [e.g., Tbin et al., 1999]. Of critical imprtance is the prper partitining f the lcal line cntrischeme, has been used withut mdificatin. n CCM3 the standard interval at which the lngwave absrptivities and emissivities are cmputed frm the current atmspheric state is 12 hurs. They are reused every mdel hur t calculate butin and the cntinuum cntributin t the k distributins lngwave fluxes and cling rates frm updated temperatures such that their cmbinatin prvides the crrect result. RRTM and clud amunts. Fr the present analysis the absrptivities als has the capability f including spectral surface emissivity and emissivities are updated every three hurs t mre cmand reflectance in each band. Finally, several ptins are avail- pletely represent the diurnal cycle. able fr LW clud liquid water and ice absrptin in RRTM [Mlawer and Clugh, 1997], including the bradband effective 2.3. RRTM CCM3 mplementatin emissivity methd used in the NCAR CCM (see sectin 2.2) A number f mdificatins have been made t RRTM t and multispectral appraches fllwing the wrk f Ebert and Curry [1992] and Hu and Stamnes [1993]. The k-distributin technique, the cnsequent errrs intrduced by this apprximate treatment f radiative transfer, and cmparisns between RRTM and LBLRTM calculatins are all discussed in greater detail by Mlawer et al. [1997]. RRTM is enhance its cmputatinal efficiency fr its applicatin t general circulatin mdels. Since many f the spectral bands cntain minimal absrptin r very little energy, fewer than 16 9 pints can be used t determine the flux adequately in these bands. A significant decrease in cmputatinal expense has been attained by reducing the number f 9 pints t 140 frm able t reprduce, fr a wide range f atmspheric cnditins, the standard RRTM ttal f 256. Each band was treated indi- LBLRTM net flux within 1 W m 2 at any altitude, cling rate vidually t determine the minimum number f 9 pints needed in the trpsphere and lwer stratsphere within 0.07 K d t retain the desired level f accuracy. The revised number f and upper stratsphcric cling rate within 0.75 K d-. RRT subintervals varies frm 14 r 16 7 pints in the fur imprtant prvides a substantial reductin in cmputatinal expense relative t LBLRTM that results frm reducing the radiative water vapr and carbn dixide bands frm 250 t 820 cm t as few as 2 9 pints in the three high wavenumber bands frm transfer peratins frm f-10 ' t 256, since the detailed spec t 3000 cm-. The effect n verall accuracy is less than tral infrmatin is nt required. A benefit f the k-distributin technique ver many GCM LW radiatin mdels is its near linear scaling f cmputatinal expense with the number f mdel layers. Sme LW mdels, such as that in CCM3, scale as the square f the number f layers and wuld prve prhibi- 0.5 W m-: fr net flux and 0.1 K d- fr cling rate, while the cmputatinal expense is reduced by abut 40%. Further efficiency imprvements were achieved by simplifying specific elements f the RRTM algrithm. Fr example, an expnential is required t cmpute transmittance frm ptical depth in tively expensive at high vertical reslutin. Finally, a shrtwave versin f RRTM has als been develped, thugh it has nt been incrprated int this study. The lngwave, stand-alne versin f RRTM is available frm the AER Web site at NCAR Cmmunity Climate Mdel Fr ur analyses we used the NCAR CCM3 general circulatin mdel versin CCM3.6.6 [Kiehl et al., 1996, 1998]. This mdel was selected because it is in wide use by the cmmunity, has successfully simulated climate parameters, has a mdular frmat that facilitates mdificatin, and is adaptable t several cmputer platfrms. The standard CCM3 frmat includes 18 vertical layers and a T42 hrintal reslutin (-2.8 x 2.8ø), which has nt been changed fr this study. The CCM3 lngwave parameteriatin (hereinafter CCM3_LW) utilies a bradband, nnisthermal absrptivity frmulatin with six verlapping spectral intervals fr H20, CO2, and 03. Als included are the effects f the H20 cntinuum f Rberts et al. [1976], absrptin frm the trace gases CH4, N20, CFC-11, and CFC-12, and the radiative prperties f the tw minr CO2 bands at 9.4 and 10.4/ m. The riginal RSB water vapr the standard RRTM. Fr the GCM versin f RRTM (hereinafter referred t as RRTMG) this expense has been transferred frm the radiative transfer sectin f the mdel t an initialiatin rutine where a 5000-pint transmittance lk-up table is cmputed. This prvided an additinal 10% reductin in cst with negligible effect n accuracy. The flux integratin in RRTMG is accmplished with a diffusivity angle fr cnsistency with CCM3_LW. While faster than the mre precise three-angle integratin in the standard RRTM, this singleangle apprach intrduces an errr f the rder f 1 W m-: in cluds. T prvide further timing reductin n vectriing cmputers, RRTMG has been receded t enhance its vectriability. Finally, the standard RRTM uses a Pade apprximatin t represent the Planck functin variatin with ptical depth in a layer similar t the methd f CM. RRTMG incrprates an accuracy imprvement by applying a lk-up table fr this Planck functin transitin that is based n the "linear in r" apprximatin (CM). Additinal mdificatins prvide enhancements relative t CCM3 LW. First, RRTMG functins ver a full additinal layer relative t the CCM layering. This layer extends frm the CCM mdel tp pressure at 2.9 mbar t the tp f the atm-

4 14,876 ACONO ET AL.' VALDATED LONGWAVE RADATON GCM MPACTS 8.) Fin BNDin Agas Fut Anld,. BNDut b), Fin,, BNDin Fut cid BNDut Figure 1. Diagram f the clud and gaseus verlap absrptin within a layer as frmulated in the (a) CCM3 lngwave radiatin mdel and (b) RRTMG lngwave mdel. sphere t prvide values fr bth the dwnward flux at 2.9 mbar and the utging lngwave radiatin. Mixing ratis in this extra layer are identical t thse in the CCM tp layer except the ne mixing rati, which is reduced by a factr f 0.6. The temperature f the extra layer is fixed t be 18 K higher than the CCM tp mdel layer. Bth changes are based n the U.S. standard atmsphere at this level. Fr cnsistency with CCM3_LW, surface emissivity is handled identically t its applicatin in the CCM3 land surface mdel (i.e., it is generally ne with a few nn-ne values in specific areas). Aersl absrptin effects in the lngwave have nt been included. Clud radiative effects are mdeled within RRTM t reprduce their cntributin t the cling rate prfiles as clsely as pssible t their effects in CCM3_LW. Our ratinale is t examine the feedback effects due t the mre accurate clear- and emissin by the clud itself. n effect, the clud is present nly as a thin band at the utging bundary f the layer and the radiance emitted by the clud is nt attenuated by the gas in that layer. Fr a cntiguus grup f multilayer cluds the surce radiance due t a clud in a layer is nt attenuated by gas absrptin in any layer within this grup f cluds. This radiance is, hwever, attenuated by clud absrptin in these layers. Als, because the clud is treated as a thin band alng the utging layer bundary its emitrance is derived frm the Planck functin at the layer bundary. Fr a clud that is assumed t fill a layer, a mre physically apprpriate chice fr calculating the clud emitrance is t use a Planck functin, Bgas+cld, with an effective radiative temperature dependent n the cmbined gas and clud ptical depth. Figure 1 illustrates these issues fr dwnwelling flux thrugh a layer with a clud fractin f 1. n Figure l a the flux exiting the bttm f the layer as cmputed in CCM3_LW can be expressed as Fut = F ntgastcl d 4- BgasAgasTcld 4- BcldAcl d (3) where the first right-hand term is the flux entering the tp f the layer, Fin, attenuated by the gaseus transmittance Tgas and the clud transmittance rcl d. The secnd term represents the clud attenuatin f the radiatin emitted by gas in the layer, where Bgas is the effective Planck functin fr the emitting gas and A gas ( = i -- Tgas ) is the gaseus absrptivity. Nte that in the third term, the clud emissin in the layer, which is the prduct f the effective Planck functin fr the clud, B and clud absrptivity, Acta (=% a = 1 - Tga) is nt attenuated by gas in the layer. Als, nte that B c a is cmputed at the lwer bundary temperature. The LW clud absrptin in RRTM prvides a mre physical slutin by making use f the k-distributin capability f effectively cmbining gaseus and clud absrptin within a layer. As in CCM3_LW, clud emissivity is assumed t be cmpletely gray, fllwing (2). Fr the example described abve, the cmparable expressin fr dwnward flux exiting a cludy layer as calculated by RRTM is illustrated in Figure lb and is given by Fur-- FinTgasTcld 4- Bgas+cldAgas+cld. (4) sky radiative transfer withut significant changes in the clud The attenuatin f the flux entering the tp f the layer is treatment. Hwever, the treatment f lngwave clud absrptreated identically as in (3). Hwever, in this frmulatin the tin has been revised t prvide a mre physically apprpriate cmbined gas and clud radiatin frm the layer, B gas+do, is slutin than that used in CCM3_LW. This imprvement utiattenuated in the layer by bth gas and clud, where A gas+c d = lies the ability f the RRTM k-distributin apprach t treat i -- TgasTc d. The impact f this change is mst prnunced fr unifrmly the cmbined gaseus and clud absrptin within a cluds that extend cntinuusly thrugh many layers and has a layer. At present, CCM3_LW uses the "effective emissivity" magnitude f as much as several W m -2. This is illustrated fr methd fr clud absrptin [Kiehl et al., 1996] in which an a few single-clumn, cludy-sky cases in sectin 3. effective clud fractin is defined as the prduct f the clud An imprtant cnsideratin in the calculatin f LW radiaemissivity and the cmputed clud fractin Ac, tin thrugh multiple cludy layers is the vertical relatinship, A; = ec 0A. (1) r clud verlap, amng the clud fractins in each layer. Many GCMs apply randm clud verlap in which cluds in The clud emissivity is given as adjacent layers are assumed t be unrelated. The CCM3_LW /3cld = 1 - e-d <abscwp mdel and RRTMG were develped using a randm clud, (2) verlap assumptin, and this is used in the CCM and ECMWF where D is the cnstant diffusivity factr f 1.66, <abs is the simulatins described in sectins 4 and 5. Hwever, several cmbined liquid and ice phase LW clud absrptin ceffi- recent studies [Jakb and Klein, 1999; Liang and Wang, 1997] cient, and CWP is the clud water path. have demnstrated the imprtance f the clud verlap treat- A cnsequence f the CCM3_LW frmulatin fr upward ment t GCM simulatins. Als, many f the GCMs cntriband dwnward flux within a cludy layer given by Kiehl et al. uting t AMP use a mixed clud verlap methd in place f [1996] is that the gaseus and clud absrptin in a layer are the simpler randm methd [Phillips, 1994]. Fr this reasn a treated sequentially. That is, the absrptin and emissin by maximum/randm clud verlap apprach has been develped gas within a clud are treated as ccurring prir t absrptin fr RRTMG t mre realistically represent the vertical rela-

5 ß ACONO ET AL.' VALDATED LONGWAVE RADATON GCM MPACTS 14,877 tinship f multilevel cluds fr situatins in which they verlap unifrmly (e.g., deep cnvectin), while maintaining a randm verlap cmputatin fr nnadjacent clud layers. The effect f this imprved clud verlap apprach n the applicatin f RRTMG t GCMs is currently being examined. n terms f cmputatinal expense, RRTMG is cmpetitive with the CCM3 LW mdel n vectriing cmputers and is substantially faster n scalar machines. On a vectriing platfrm, RRTMG is apprximately 4 times faster than CCM3_LW fr a cstly full radiatin time step (dne every 12 mdel hurs) fr 30 layers and is 5 times slwer fr a less cstly radiative transfer time step (dne every intervening mdel hur). Fr a full mdel day, RRTMG runs abut 7-8% slwer than CCM3_LW n a vectriing system (such as CRAY) and abut 40-50% faster n a scalar system (such as SG) at 30 layers. At higher vertical reslutin, RRTMG wuld gain significant advantage ver CCM3_LW due t the linear relatin between expense and the number f layers prduced by the k-distributin technique. Fr GCMs that cmplete a full radiatin calculatin mre than twice per day and have a similar expense t CCM3_LW, RRTMG wuld be even mre cmpetitive. Althugh it wuld be pssible t imprve the cmputatinal time by decreasing the number f g pints further, the resulting lss in accuracy wuld nt be acceptable frm ur perspective RRTM ECMWF mplementatin A versin f RRTMG has als been prepared fr use in the ECMWF weather frecast mdel that is substantially similar t the versin tested in the NCAR climate mdel. Additinal mdificatins fr ECMWF include implementing the capability fr spectral surface emissivity and reflectance and spectral clud absrptin prperties [Mreterret al., 1998]. The surface emissivity has been implemented using a windw (8-12 / m) and a nnwindw value, thugh the capability exists in RRTM t use a separate emissivity in each f the 16 spectral bands. Als fr each spectral interval, ice clud ptical prperties are based n Ebert and Curry [1992] and water clud ptical prperties are derived frm Fuquart [1987]. Finally, this versin f RRTM incrprates aersl absrptin by specifying apprpriate radiative characteristics fr fur different aersl types fr each spectral band. Results frm this mdel are shwn in sectin Clumn Radiatin Mdel Cmparisns Single-clumn cmparisns between RRTMG and CCM3_LW were accmplished with the NCAR Clumn Radiatin Mdel (CRM). This prvides a straightfrward cntext in which t establish the flux and cling rate differences between the tw radiatin mdels. The CRM is a stand-alne LW and SW radiatin package that is identical t the radiatin mdels used in CCM3. t has been mdified t run with either CCM3_LW r RRTMG. Fr these cmparisns, standard midlatitude summer (MLS) and subarctic winter (SAW) atmspheric prfiles were prepared fr the same 18 layers used in CCM3. Figure 2a shws the upward, dwnward, and net fluxes fr the clear-sky MLS atmsphere as cmputed by the CCM3 LW mdel n the left. The flux differences between RRTMG and CCM3_LW are shwn t the right. Fr this atmsphere the upward LW flux is reduced by as much as 9 W m -2 frm the middle trpsphere t the tp f the atmsphere. The dwnward flux is increased thrughut the trp- a ' 400 tu CCM3 Mid-latitude Summer Lngwave Fluxes "... ' ' ' ' i... 'u ' ' ' DOWN \ \ \ \ ';'t NET \\ \\\\ '!,....?...,', FLUX (W m '2) CCM3 Mid-latitude Summer Lngwave Cling Rate b 2OO 400 6øø f 800 f COOLNG RATE (K d ' ) RRTMG-CCM3... i i... i FLUX DFF. (W m '2) 2 RRTMG-CCM CR DFF. (K d '1) Figure 2. Midlatitude summer upward, dwnward, and net fluxes (a) as cmputed by the CCM3 lngwave mdel, with differences between RRTMG and CCM3 shwn t the right. Midlatitude summer cling rate (b) as cmputed by the CCM3 lngwave mdel, with differences between RRTMG and CCM3 t the right. sphere by as much as 16 W m -2 at 650 mbar and by a mre mdest 4 W m -2 at the surface. Althugh the change in the LW algrithm causes sme f this difference, mst f this dramatic alteratin in LW flux is due t the enhanced absrptin f the CKD water vapr cntinuum mdel in RRTMG relative t the RSB cntinuum in CCM3_LW. The principal rle f the freign cntinuum in this cntext is t increase absrptin between the mlecular lines, t decrease the pressure regime ver which the transitin frm atmspheric pacity t transparency ccurs, and thus t increase the flux divergence and cling rate. Clser t the surface the greater atmspheric pacity in the spectral regin in which freign bradening is significant, diminishes the impact f the cntinuum differences between CKD and RSB, and the flux divergence is reduced. Since cling rate (Figure 2b) is determined frm the divergence f the net flux acrss a layer, the net flux changes prduced by RRTMG significantly mdify the MLS clear-sky LW cling rate as seen t the right in Figure 2b. Cling rate is enhanced in the upper trpsphere by as much as 0.4 K d- and is als slightly enhanced in the lwer stratsphere. Because f the decrease in flux divergence in the lwer atmsphere, the cling rate is reduced here by as much as 0.5 K d-. Evidence fr the rle f the water cntin- uum in these cling rate changes can be seen in Figure 19 f CM. This plt presented cling rates fr the MLS atmsphere fr tw line-by-line calculatins that used the CKD and

6 14,878 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS Z Z c

7 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS 14,879 RRTMG - CCM3 LW Cling Rate Difference (nitial Frcing). 2OO Ll 4OO Ll ,, '- ',. ', -,,,,---0 MN:-2.44 MAX: 0.40 K d ' ø Plate 2. Znal average, annual mean, initial frcing cling rate difference between RRTMG and CCM3 lngwave mdels frm a 5-year CCM3 simulatin. Units are in K d -. RSB cntinuua. Cling rate differences, inferred frm these calculatins, are very similar t thse shwn in Figure 2b. A cmparisn f the clear-sky LW fluxes and cling rates frm each radiatin mdel fr the SAW atmsphere is shwn in Figure 3. n this drier atmsphere, RRTMG reduces the upward LW flux and OLR by nly 2-3 W m -2 (Figure 3a). Hwever, the enhancement f dwnward flux is as high as 14 W m -2 and is shifted tward the surface. The lwer water cntent f the SAW atmsphere makes it less paque near the surface than mister prfiles. The CKD freign cntinuum absrptin, which is absent frm the RSB cntinuum, peaks in the cm - spectral regin where the atmsphere is nearly paque in high water atmspheres. n the trpics, fr example, this extra cntinuum absrptin has nly a small impact n the dwnward surface flux due t the high pacity in this spectral band. n drier regins, hwever, the atmsphere is less paque frm 400 t 600 cm - and the additinal freign cntinuum absrptin in RRTMG strngly enhances the dwnward LW flux t the surface. SAW cling rate (Figure 3b) is slightly enhanced by RRTMG by as much as 0.2 K d - in much f the lwer stratsphere and trpsphere except near the surface. Differences between the RRTMG and CCM3 LW MLS fluxes and cling rates fr three clud cases are illustrated in Figure 4. The RRTMG imprvement in LW clud absrptin discussed in sectin 2.2 is included in these cmparisns. Flux and cling rate differences have the same frmat and scale as thse in Figures 2 and 3. Layers cntaining clud are marked with black bars t the right f each plt. All three cases use a clud ptical depth, % d, f 5 in each layer. Fr a lw clud with a clud fractin, A c, f 0.5 (Figures 4a and 4b) the verall similarity f the clud absrptin treatments reduces the dwnward flux difference within and belw the clud. Since the large clear-sky differences remain abve the clud, the vertical divergence f net flux near the tp f the clud is increased, which prduces a greater reductin in cling rate at that level than the clear sky case (see Figure 2b). A multilayer clud with a unifrm A c f 0.5 in each layer reduces the flux and cling rate differences at all levels (Figures 4c and 4d) relative t clear sky. The 2-4 W m -2 flux differences within the clud are primarily due t the revisin f the cmbined LW clud and gas absrptin described earlier. The impact n flux and cling rate f a high clud with an A f 1.0, shwn in Figures 4e and 4f, results in reversing the clear-sky OLR reductin due t RRTMG. The extent t which this clear-sky OLR reductin is ffset by high clud is heavily dependent n the clud fractin, ptical depth, and height. These cmparisns will help clarify the interpretatin f the RRTMG glbal flux impacts described in sectin Climate Mdel Simulatins An assessment f the effect f RRTMG n the NCAR climate mdel was accmplished in tw stages. First, a versin f CCM3 was develped that perfrmed tw LW calculatins, ne with RRTMG and ne with CCM3 LW. The RRTMG fluxes and cling rates prvided the LW radiative feedback fr the simulatin, while the CCM3_LW quantities were stred as diagnstic utput. This apprach allwed the tw LW mdels t be cmpared fr identical atmspheric states that varied ver a full range f glbal cnditins. Flux and cling rate differences between the LW mdels can be interpreted in the

8 14,880 ACONO ET AL.' VALDATED LONGWAVE RADATON GCM MPACTS tlj LU 'r E 5 --! i,.- D Z Z Z Z M c:> Z Z Z Z i u,j 0 a:: x. Z 0 Z Z Z ø 03 (/> '

9 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS 14,881 same way as the single-clumn cmparisns in sectin 3 and represent the glbal, initial frcing impact f intrducing RRTMG int the climate mdel. Fr this study, the interval at which LW gaseus absrptin was cmputed was reduced frm the standard CCM3 interval f every 12 mdel hurs t every three mdel hurs t better simulate the diurnal cycle. LW fluxes and cling rates were then calculated at every mdel hur with updated temperature and clud infrmatin. A 5-year simulatin was perfrmed using mnthly averaged, climatlgical sea surface temperatures (SSTs) with all radiative and dynamical fields stred as daily averages. The simulatin was preceded by a 4-mnth adjustment perid during which the radiative feedback was gradually transferred frm CCM3_LW t RRTMG ver the first three mnths by applying a csine transitin functin t the cling rates and dwnward surface fluxes frm each LW mdel. The results f this test are presented in sectin 4.1. Fr the secnd phase, a 5-year, climatlgical SST cntrl simulatin was perfrmed using the riginal, unmdified CCM3 t prvide a basis fr cmparisn t the first simulatin. Since each experiment was run with a different LW mdel, differences in the radiative and dynamical fields between the tw simulatins include the changes in atmspheric state prduced by the tw LW methds. These differences, presented in sectin 4.2, are mre representative f the lng-term impact f RRTMG n the CCM3 climate mdel simulatin. 2OO CCM3 Sub-arctic Winter Lngwave Fluxes -\ /i... up 20 _\ /:: DOWN \ / NET \ \\ RRTMG-CCM3 400[/i, t 6OO 80O 2 FRMG-CCM ,,,,,,,,,t,,,l l,,,, RRTMG-CCM e. 60 RRTMG-CCM3 RRTMG-CCM3,< /,,,,_L,,,, 1000,,,, FLUX -10 DFF. 0 ( / FLUX DFF. 0 (W 10 m 20 2) FLUX DFF 0 ( m 20 2) 30 COOLNG RATE DFF. (K d '1) RRTMG-CCM3 COOLNG RATE DFF. (K d 'j) RRTMG-CCM3 'f' t COOLNG RATE DFF. (K d '*) Figure 4. Midlatitude summer flux and cling rate differences between RRTMG and CCM3 lngwave mdels fr three clud cases. Differences are shwn fr (a) flux and (b) cling rate with a lw clud, (c) flux, and (d) cling rate with a multilevel clud, and (e) flux and (f) cling rate with a high clud. The line styles used in Figures 4a, 4c, and 4e are identified in Figure 3a. Layers with clud are marked with black bars t the right in each figure. All cluds have an ptical depth f 5 in each layer. Figures 4a-4d are fr a clud fractin f 0.5 in each layer, and Figures 4e and 4f are fr a clud fractin f 1.0. b FLUX (W m 2) CCM3 Sub-arctic Winter Lngwave Cling Rate 20O m [ / ,,, FLUX DFF. (W rn 2) RRTMG-CCM COOLNG RATE (K d '1) CR DFF. (K d ' ) Figure 3. Subarctic winter upward, dwnward, and net fluxes (a) as cmputed by the CCM3 lngwave mdel, with differences between RRTMG and CCM3 shwn t the right. Subarctic winter cling rate (b) as cmputed by the CCM3 lngwave mdel, with differences between RRTMG and CCM3 t the right. t shuld be nted that the CCM3 glbal average tp f thc atmsphere (TOA) fluxes have been tuned by NCAR t agree with bservatins frm the Earth Radiatin Budget Experiment (ERBE) [Kiehl et al., 1998b] and t ensure a TOA radiative balance. Als, the utging lngwave radiatin changes prduced by RRTMG are f the same rder r larger than the magnitude f the changes intrduced by this tuning. Therefre since n attempt was made in the present study t retune the climate mdel when running with RRTMG, direct cmparisns t ERBE fluxes are nt included in this analysis. Changes t the CCM3 energy budget caused by RRTMG shuld be interpreted qualitatively in the cntext f the imprvement attained by RRTM as established thrugh its validatin path t bserved radiances. Kiehl et al. [1998b] give a thrugh descriptin f the CCM3 energy budget, including cmparisns f CCM3 LW fluxes t ERBE data nitial Frcing mpacts Differences in the annual average OLR and surface LW fluxes (RRTMG - CCM3_LW), which represent the initial frcing effect f RRTMG, are shwn in Plate 1. Clear-sky OLR (Plate la) is reduced by RRTMG mst extensively

10 14,882 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS thrughut the trpics, by as much as 9 W m -2, decreasing t 4.2. Climate Simulatin mpacts small changes ver the plar areas. The greatest OLR changes The RRTMG initial frcing flux and cling rate changes ccur in the wettest latitudes, which is cnsistent with the described in sectin 4.1 alter the atmspheric state thrugh significant enhancement f absrptin frm the CKD water feedbacks between the radiatin and the mdel dynamics until vapr cntinuum relative t the RSB frmulatin. The annual a new equilibrium state is reached. These feedback effects are mean, ttal sky OLR changes (Plate lb) are generally smaller, nw cnsidered by lking at differences between the since cluds reduce the LW mdel OLR differences as shwn RRTMG CCM3 simulatin and the cntrl CCM3 simulatin. in Figure 4. Exceptins are typically clear areas (e.g., Sahara Plate 3 shws the annual mean TOA and surface LW flux Desert) r regins where lw cluds dminate, such as the differences between RRTMG and CCM3 LW that include eastern midlatitude ceans. Such lw cluds are belw much f their respective changes in atmspheric state. The clr scale the enhanced absrptin frm the CKD freign cntinuum and the field shwn are the same as in Plate 1. The clear-sky RRTMG. Several trpical regins in Plate lb (e.g., west f OLR difference in Plate 3a shws cnsiderable decreases in Central America, central Africa, etc.) shw an increase ttal OLR due t RRTMG thrughut the lw and midlatitudes f sky OLR due t RRTMG. These are areas where high cluds 4-12 W m -2, with small increases at high latitudes. The ttal dminate in this simulatin. Fr these cluds the RRTMG sky OLR difference in Plate 3b cntains cnsiderable reginal imprvement in the -LW clud absrptin algrithm, discussed variatin with trpical decreases f as much as 18 W m -2 and in sectin 2.3, prduces an increase in OLR f several W m -2 increases f 11 W m -2. At the surface, mst f the widespread as demnstrated in Figure 4e. Small flux differences at high increase clear-sky dwnward flux at high latitudes f 8-15 W latitudes in Plate lb result frm cmbinatins f cluds at all m -2 remains (Plate 3c), while the ttal sky flux changes (Plate levels. 3d) are generally small with a few large reginal differences. n RRTMG has a substantial impact n clear-sky net radiatin general, the -LW flux differences in Plate 3 have greatereat the surface, shwn as an annual average difference in Plate ginal variability than the initial frcing impacts in Plate 1 lc (net flux is defined as upward minus dwnward radiatin). largely due t changes in atmspheric and surface temperature Since the LW mdels are being cmpared fr identical atm- and t the spatial and tempral redistributin f water vapr spheric states (including the surface temperatures) in this cn- and clud cver induced by the LW mdel change. text, the upward surface radiatin differences will be small and As mentined previusly, the CCM3 glbal mean TOA enmst f the flux changes shwn in Plate l c are due t an ergy budget was tuned t agree within a few W m -2 f ERBE increase in the dwnward radiatin tward the surface. The measurements. Despite this, reginal differences between largest increases ccur at high latitudes, ver deserts, and in CCM3 and ERBE remain, which can be inferred frm the muntainus areas where the atmspheric water vapr cntent OLR and clear-sky OLR cmparisns in Figures 15 and 16 f is lw. n these regins the dwnward flux is enhanced by Kiehl et al. [1998b]. Specifically, in many trpical areas, CCM W m -2. This cnsiderable impact is cnsistent with the verestimates the OLR and clear-sky OLR by 5-10 W m -2 discussin in sectin 3 f the flux changes fr the SAW atm- relative t ERBE. Over much f Antarctica, CCM3 utging sphere (Figure 3a). As nted earlier, many GCMs greatly un- flux is t lw. The RRTMG OLR impactshwn in Plates 3a derestimate the clear-sky dwnward surface flux in dry regins and 3b have the crrect magnitude and directin t ffsethese by W m -2. n particular, Pint et at. [1997] shwed that CCM3 flux biases. Kiehl et al. [1998b] suggest a deficiency in CCM2 dwnward surface fluxes ver the Arctic were t lw water vapr absrptin in CCM3 LW as ne cause fr the by 20 W m -2. t is a significant result f this wrk that the TOA flux biases in CCM3. Briegleb and Brmwich [1998a] als additinal absrptin prvided by the CKD water vapr cn- suggest insufficient water vapr rtatin band absrptin in tinuum accunts fr much f this discrepancy. The ttal sky, CCM3 t explain a W m -2 deficiency in-lw clear-sky net flux change at the surface in Plate l d shws cnsistency dwnward surface flux in plar latitudes. The result presented with Figure 4 in that surface flux differences are greatly rehere fr RRTMG is strng evidence that imprved absrptin, prvided by the CKD water vapr cntinuum mdel, makes a duced in cludy areas. Large differences remain ver land significant cntributin t the accurate representatin f LW areas that have the least cludiness this simulatin. Clearly, radiative prcesses f relevance t a GCM. RRTMG and the CKD water cntinuum have substantial im- The impact f RRTMG n the CCM3 energy budget can be pacts n clear-sky LW flux at bth the tp f the atmsphere summaried with annual mean, nal averages f the energy and at the surface that will significantly influence the energy balance f the climate mdel. budget cmpnents. Figure 5 presents the nal average OLR fr ttal sky (Figure 5a), clear sky (Figure 5b), and the LW The primary mechanism by which a -LW radiatin mdel clud frcing (Figure 5c) defined as the clear sky minus the impacts the atmspheric state f a GCM is thrugh the radittal sky OLR. RRTMG values (dashed lines) and CCM3_LW ative cling rate. The initial frcing effect f RRTMG n the values (dtted lines) use the scale t the left in each plt. The LW cling rate f CCM3 is shwn as a difference differences (slid lines) use the scale t the right. Bth clear (RRTMG - CCM3_-LW) in Plate 2. This and all subsequent and ttal sky OLR are reduced by RRTMG at nearly all figures that have pressure as the vertical axis use the CCM latitudes except fr the plar areas where small increases are hybrid sigma-pressure vertical crdinate times 1000 [Kieht et nted. RRTMG reduces clud frcing in the trpics and the at., 1998a]. RRTMG increases the cling rate frm the mid ø latitudes, where cludiness is generally grehtest. Aldle trpsphere t the lwer stratsphere, except fr the trp- thugh the CCM3 shrtwave (SW) mdel was used in bth ical trppause. Peak cling enhancement f 0.4 K d- ccurs simulatins, the annual mean, nal average TOA absrbed in the upper trpical trpsphere. Cling rates are reduced at SW fluxes, shwn in Figure 6, are impacted by RRTMG all latitudes in the lwer trpsphere with peak values away thrugh the changes in atmspheric state, primarily water vafrm the ples f K d- pr and clud cver. The ttal sky, TOA SW fluxes (Figure 6a)

11 ß ß ß ACONO ET AL.' VALDATED LONGWAVE RADATON GCM MPACTS 14,883 are increased by 3-4 W m -2, especially in the trpics and midlatitudes. Clear-sky TOA SW fluxes (Figure 6b) are nly negligibly altered, thus the SW clud-frcing change (Figure 6c) resembles the ttal sky difference. Znal average surface LW net fluxes, shwn in Figure 7, are als reduced at nearly all latitudes by RRTMG. The decreases in ttal sky flux at the surface (Figure 7a) are largest in midlatitudes. Large differences f up t 11 W m -2 are seen in the clear sky, surface net fluxes pleward f 50 ø in each hemisphere (Figure 7b). Because f changes in atmspheric state, these differences result frm a cmbinatin f dwnward and upward surface flux changes but are dminated by the increased dwnward flux at high latitudes. Surface clud frcing (Figure 7c) is largely decreased at middle and high latitudes due t the large clear-sky effect. The surface SW fluxes, nt shwn. are affected in a similar fashin t the TOA SW fluxes in Figure 6. Finally, the respnse f the nal average latent and sensible heat fluxes at the surface due t RRTMG are shwn in Figure 8. n general, latent heat (Figure 8a) and sensible heat (Figure 8b) changes and their cmbined change (Figure 8c) are less than 5 W m -2 at all latitudes. The annual mean, nal average difference in LW radiative cling rate is shwn in Plate 4. This is in cntrast t the initial frcing cling rate impact in Plate 2. Althugh the patterns arc very similar between Plates 2 and 4, several dramatic changes are nticeablc. First, the decrease in cling rate frmerly seen near thc surface at all latitudes has shifted upward, especially in the trpics. Here the reduced cling ccurs as 300 [: a 280 i RRTMG 260 t CCM3 Outging Lngwave Radiatin / i! / / x i RRTMG - CCM E O 20 m lo,, u- b Outging Lngwave Radiatin (Clear Sky) '.}-:?:V :... s ,, ß ,;'? ":4. v "< [. d' <'. k 20 m Z L \ 10 m 140 D 120 F_ N 60N 40N 20N 0 20s 40s 60S 80S c TOA Lngwave Clud Frcing..p ) '..:,,.....*"-" '-. 0, x O m -10 Figure 5. Znal average, annual mean (a) utging lngwave radiatin, (b) clear-sky OLR, and (c) tp f the atmsphere lngwave clud frcing fr RRTMG and CCM3 LW mdels (scales n the lcft) and fr the RRTMG-CCM3 difference (scales n the right). a TOA Absrbed Shrtwave Radiatin RRTMG _ RRTMG - CCM3 320 ½ 280 E ,,".\ -! _ / \ x 160 / ø,% /.,, d-'- 280 E D x 160 J LL CCM3...,,.,--' "",.,,,.,..,.- "'.,/------,,,., b TOA Absrbed Shrtwave Radiatin (Clear Sky) ½ TOA Shrtwave Clud Frcing 50 E O 20 m 10,, 0 X 5O 40 3O LU 0 2O m loll 0 X do,, -J 0.= 'x\.\ / _.10rm ) E '7... [ [ Z : /.,-' ',-.,,,,..-:.<.7...! -20 '"" F '." ', r' ' q :D "' " "- 1' mm x J -1 O LL Figure 6. Znal average, annual mean (a) tp f the atmsphere absrbed shrtwave radiatin, (b) clcar-sky TOAabsrbed SW, and (c) TOA SW clud frcing fr RRTMG and CCM3 LW mdcls (scales n the lcft) and fr the RRTMG- CCM3 difference (scales n the right). high as 400 mbar. A small area f greater cling near the surface in the trpics has expanded t nearly all latitudcs and extends t 800 mbar ver the equatr. Secnd, thc area f greatest cling in the upper trpical trpsphere has been reduced in magnitude frm 0.4 t K d. Finally, all f the cling rate differences in the stratsphere and at the trpical trppause have been cmpensated, mstly by changes in atmspheric temperature. The differences bctwccn Plates 2 and 4 serve as evidence that the ir/itial frcing cling rate changes due t RRTMG are f sufficient magnitude t mdify the thermdynamic structure f the climate mdel. As mentined earlier, the LW radiative cling rate is a primary mechanism by which the radiatin parameteriatin affects the climate mdel dynamics thrugh its impact n the thermal structure. The extent t which the atmspheric temperatures are mdified by RRTMG is shwn in Plate 5 as an annual mean, nal average difference. Because f the enhancement f dwnward LW radiatin t the surface seen in Plate 3, RRTMG warms the lwer atmsphere at all latitudes, except near the equatr, with the greatest warming ccurring at high latitudes. This 1-2 K warming partly ffsets the dcumented 2-4 K CCM3 cld bias at high latitudes in the lwer trpsphere [Hack et al., 1998; Briegleb and Brmwich, 1998b]. Temperature is reduced as much as 1.5 K acrss much f the middle and upper trpsphere, which cntributes t the CCM3 upper trpspheric cld bias. The large reductin in temperature centered at 30 mbar f 5-6 K is f the right magnitude and lcatin t entirely cmpensate a CCM3 warm bias at this

12 _... 14,884 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS E loo 8 12 loo a Surface Net Lngwave Radiatin RRTMG RRTMG - CCM3 CCM3...'> <... /.,,..),.½- v......,- ß ' k.->.-2.,...,. ',,.. = 80N 60N 40N 20N 0 b.a... 20S '40S '6;S '80S Surface Net Lngwave Radiatin (Clear Sky) c Surface Lngwave Clud Frcing ø 1Ou_ ø E 60 " - '......;"..";" x'.. '' rr X 40 ' " v.. 9 _0,,uJ u_ +....:' : 20 ' -lo -2 Figure 7. Znal average, annual mean (a) surface net lngwave radiatin, (b) clear-sky surface net LW radiatin, and (c) surface LW clud frcing fr RRTMG and CCM3 LW mdels (scales n the left) and fr the RRTMG-CCM3 difference (scales n the right). level relative t bth the ECMWF reanalysis and the NCAR/ NCEP reanalysis temperature fields. Surface temperature is als impacted by the increased dwnward surface flux prduced by RRTMG, and this is demnstrated in Plate 6. The annual mean, surface temperature difference (Plate 6a) shws the reginal effect f the enhanced greenhuse warming caused by RRTMG. (These results are based n CCM3 simulatins that used identically prescribed climatlgical SSTs, and thus temperature differences are er ver the ceans.) Over the Arctic, Antarctic and the adjacent sea ice, RRTMG increases surface temperature by 1-4 K. Briegleb and Brmwich [1998b] nte that CCM3 has a cntinental-wide cld bias f 2-5 K ver Antarctica in the annual mean. Warming is als seen acrss much f Eurasia, parts f Nrth America, the Sahara Desert, and Australia. Fr sme areas (e.g., Antarctica, the nrthern Sahara, and Australia) the enhanced dwnward surface flux is cmpensated by an increase in the upward surface flux due t the higher surface temperatures. Reduced net flux differences in these regins relative t the initial frcing change (see Plates lc and 3c) are a result f this feedback. Cler regins include mst f the trpical land areas, Scandinavia, and part f nrthern Asia. T illustrate the seasnal variability f the surface temperature changes, we shw the crrespnding differences fr June, July, and August (JJA) in Plate 6b and fr December, January, and February (DJF) in Plate 6c. Warming is present ver much f Antarctica in bth summer and winter, while the Arctic warming ccurs primarily in nrthern winter. At lwer latitudes the -20 band f reduced land temperatures shifts suthward during DJF and nrthward during JJA relative t the annual mean in respnse t the presence f atmspheric water vapr. An analysis by Bnan [1998] f surface air temperatures generated by the CCM3 Land Surface Mdel shwed that CCM3 has cld biases ver Antarctica, Australia, the Sahara Desert, and Greenland in bth DJF and JJA. The impact f RRTMG n surface temperature effectively addresses many f these dcumented biases in CCM3. As the primary greenhuse gas in the trpsphere, water vapr plays a significant rle in regulating the energy budget f the Earth's climate system. ts distributin greatly impacts radiative fluxes thrughut the atmsphere bth as a direct gaseus absrber and in its liquid r ice frm as cluds and precipitatin. The impact f RRTMG n the annual mean, nal average misture in CCM3 is shwn in Plate 7 as a percent difference. The mst dramatic change is an extensive decrease in water vapr due t RRTMG at lw latitudes in the lwer t middle trpsphere by 20-30%. This reductin peaks at -1.1 g/kg ver the trpics near 600 mbar and is larger than the CCM3 trpical mist biases seen in Figure 5 f Hack et al. [1998]. Small increases in misture are nted at mst latitudes clse t the surface, which slightly imprve CCM3 dry biases. Clearly, the distributin f water vapr is clsely tied t many dynamical cmpnents f the climate mdel, such as the circulatin, bundary layer prcesses, and cnvectin. A full analysis f the RRTMG impact n the dynamical cmpnents f CCM3 is beynd the scpe f this wrk. Hwever, as nted 2OO 18O x 80,,-½ 60 ½ O O ½: X D 2O :..x,..,- "---"' u_ a Latent Heat Flux - _ RRTMG RRTMG - CCM3 E 160 _ 30 ½ 140 _ CCM3... '-' i.u ½ _ 140 _ 120 _ " \ / ' ' 20 Z _= - ' ' -:0 x - / x. _-- D b -2_ Sensible Heat Flux =...>... %.,.,, C 100_ x 60 1.,....c.' u_ '*... \ -20 Latent + Sensible Heat Flux / k. // "% J h..[!..,,.., ',..! \! \ 40 E lo Lu x 40 E 30w O Z 2 lg x D Figure 8. Znal average, annual mean (a) latent heat flux, (b) sensible heat flux, and (c) latent plus sensible heat fluxes fr RRTMG and the CCM3 LW mdel (scales n the left), and fr the RRTMG-CCM3 difference (scales n the right).

13 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS 14,885 RRTMG- CCM3 LW Cling Rate Difference N 60N 40N 20N 0 20S 40S MN:-3.18 MAX: {;.4-0. ' S S K d 4 Plate 4. Znal average, annual mean, cling rate differences between RRTMG and CCM3 lngwave mdel frm tw 5-year CCM3 simulatins, including feedback effects f each LW mdel n atmspheric state Units are in K d-l RRTMG - CCM3 Temperature Difference 200 4OO 600 ', ' ,, J MiN:-6.47 MAX: 4.71 GLOBAL:0.5? ' K ; 3 4 Plate 5. Annual mean, nal average temperature difference between RRTMG and CCM3 lngwave radiatin mdels frm tw, 5-year CCM3 simulatins. Units are in K.

14 14,886 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS a RRTMG -CCM3 Surface Temperature Difference, ANN 80N F-' "'--'"---,- - "-- -- f_ r'"'.,, '? -""-" % ----, _.,2'" : 20S --- ' ' ' 8s '- - ' r-,!,,!! ß 18( W 120W 60W 0 60E 120E 18! b RRTMG - CCM3 Surface Temperature Difference, JJA ON _ _- '._ -- 60N..." -. '.c S L 80S --'---' W 120W 60W 0 60E 120E 180E 80N 60N C RRTMG - CCM3 Surface Temperature Difference, DJF -... _" :..:":'... ':..''"'."': '. ''"'..:... : 40N 20N 0 20S 40S 60S 80S 180W 120W 60W 0 60E 120E 180E K Plate 6. Surface temperature difference between tw CCM3 simulatins using RRTMG and the CCM3 lngwave radiatin mdel fr (a) the annual mean, (b) the June, July, and August mean, and (c) the December, January, and February mean. Units are in K.

15 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS 14,887 (RRTMG - CCM3)/CCM3 Specific Humidity Percent Difference 200 4OO 6O0 8OO looo MAX:22,89 MN: GLOBAL:-2, Plate 7. Annual mean, nal average specific humidity difference between RRTMG and CCM3 lngwave radiatin mdels frm tw, 5-year CCM3 simulatins. Units are in percent. earlier, the applicatin f a data-validated, accurate radiative transfer mdel such as RRTMG t a GCM prvides a fundatin n which the dynamical cmpnents can be mre effectively analyed and imprved. 5. Applicatin t Weather Frecast Mdels The ECMWF weather frecast mdel has been used t examine the effect f RRTMG n shrt-term temperature frecasts and seasnal simulatins [Mrcrett et al., 1998]. Tw sets f 12 T213, 31-layer experiments starting frm the 15th f each mnth between April 15, 1996 and March 15, 1997, were perfrmed. A cmpsite f the results frm each mnth was cmputed fr each lngwave mdel. The 10-day temperature frecast errrs averaged ver the Nrthern Hemisphere fr fur atmspheric layers due t each LW mdel is shwn in Figure 9. At 850 mbar the enhanced cntinuum absrptin in RRTMG (slid line) warms the lwer atmsphere and prevents the cling seen ver time in the ECMWF LW scheme (dashed line). The ppsite ccurs at 500 mbar where the mdel prduces t much cling when running with RRTMG. This indicates a deficiency in sme aspect f the ECMWF mdel, nt in RRTMG. At higher levels, RRTMG has a largely psitive impact by cling the atmsphere and preventing warm temperatures frm develping. n these experiments, RRTMG had relatively small effects n the geptential height and wind fields in the ECMWF mdel. Similar temperature impacts are evident in the nal average temperature field cmputed by the ECMWF mdel. A pair f fur-mnth simulatins were perfrmed, and the results presented in Plate 8 are averages ver the last three mnths f each simulatin fr JJA 1987 and DJF Tempera- tures are shwn as differences frm the ECMWF Reanalysis (ERA) temperature fields fr each seasn. Plates 8a and 8b shw differences fr the ECMWF mdel running with RRTMG, and Plates 8c and 8d shw differences fr the current peratinal ECMWF mdel. Fr the JJA seasn, RRTMG slightly enhances temperatures in the lwer trpsphere in the Nrthern Hemisphere and reduces the difference frm ERA. Cling due t RRTMG in the upper trpsphere and stratsphere reduces the excess warming generated by the ECMWF mdel, especially in the trpics. n the DJF seasn, RRTMG smewhat increases the temperature errrs near the surface at high latitudes with little change in the trpics, while a reductin in temperature is seen in mst latitudes in the upper trpsphere and stratsphere. Figure 9 and Plate 8 demnstrate that the imprved accuracy f RRTMG significantly impacts GCM temperatures ver time perids f imprtance t shrt-term and medium-range weather frecasts. 6. Cnclusins One bjective f the ARM prgram is t supprt the imprvement f GCM radiative transfer mdels fr the benefit f climate research and weather frecasting applicatins. Fr this purpse, a radiatin mdel, RRTM, has been develped which prvides the capability f radiative transfer fr GCMs at a high level f accuracy that is established by cmparisn t radiance measurements. The lngwave versin f RRTM has been adapted fr and applied t the NCAR climate mdel and the ECMWF weather frecast mdel t examine the feasibility f its applicatin t GCMs and t determine the impact f the imprved accuracy f RRTMG n GCM simulatins. We have shwn that RRTMG can have a substantial impact

16 14,888 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS LU t l Ol t (qtu) 3 n - 3ud (qtu) 3Ufl 31:ld

17 ACONO ET AL.' VALDATED LONGWAVE RADATON GCM MPACTS 14, ECMWF Nrthern Hemisphere Temperature Frecast Errrs 50 mb 200 mb ,.2, EC_LW RRTMG ø6 f Frecast Day 500 mb Frecast Day 850 mb, E -02' -04, x Frecast Day Frecast Day Figure 9. Ten-day temperature frecast errrs fr the Nrthern Hemisphere averaged ver 12 mnths as cmputed by the ECMWF weather frecast mdel using the ECMWF peratinal LW mdel (EC_LW) and RRTMG. Errrs are shwn fr 50, 200, 500, and 850 mbar. n the energy budget f a GCM at bth the surface and the tp f the atmsphere. The CKD water vapr cntinuum mdel includes the imprtant freign-bradened cntinuum absrpwell as fr the integrated quantities. This assures that the physical prcesses assciated with varius atmspheric species are prperly accunted fr and the distributin f radiative tin in the cm i spectral regin that is nt included energy is crrectly mdeled acrss the LW spectrum. The in the RSB cntinuum frmulatin used in many GCMs. The resulting enhanced absrptin significantly affects LW fluxes and cling rates. Relative t current CCM3 energy budget quantities, clear-sky OLR is reduced by 6-12 W m -2 in trpical latitudes, while dwnward surface flux is increased by 8-15 W m -2 at high latitudes. These changes are sufficient t cmpensate fr knwn errrs in the energy budget f CCM3 [Kiehl et al., 1998b]. t is a significant result f this wrk that the CKD cntinuum mdel can greatly imprve flux calculatins in relevance f applying a spectral perspective t the analysis and imprvement f GCMs has been demnstrated in several studies [e.g., Sling and Webb, 1997]. Applying a radiatin mdel that attains this level f accuracy t a GCM prvides a fundatin n which the dynamical GCM cmpnents can be mre successfully evaluated. The enhanced radiative transfer capability attainable with RRTMG and the CKD water vapr cntinuum has been shwn t be extremely relevant t the verificatin and imprve- GCMs that use lder cntinuum methds. ment f GCMs, but they have even wider applicatins. Recent By altering the lngwave fluxes RRTMG mdifies the radiative cling rate prfiles, which in turn impact the thermdystudies have identified and attempted t quantify the magnitude f a psitive clear-sky bias in the ERBE glbal radiatin namic structure f bth the NCAR climate mdel and the measurements relative t bth GCMs and radisnde data ECMWF weather frecast mdel. n CCM3, lwer trpspheric and surface temperatures are increased by 1-4 K, especially at high latitudes, largely due t the enhancement f dwnward surface flux. These increases address knwn defi- ciencies in the CCM3 atmspheric and surface temperatures [Hack e! al., 1998]. n additin, a CCM3 warm bias in the trpical stratsphere centered at 30 mbar relative t bth the NCAR/NCEP and the ECMWF Reanalyses is substantially cmpensated by changes in the temperature field prduced by RRTMG. Finally, water vapr amunts are generally reduced thrughut the middle trpsphere in the trpics. The extent t which the RRTMG thermdynami changes impact the full dynamical state f CCM3 is currently under analysis. t shuld be emphasied that RRTMG prvides accurate fluxes and cling rates in each f its 16 LW spectral bands as [Cllins and namdar, 1995; Het al., 1998; Sling et al., 1998]. This bias, which is believed t result frm errrs in the selectin f clear-sky scenes, is estimated t be abut 4 W m -2. t is f great imprtance that these studies be cnducted with the mst accurate and physically sund radiative transfer algrithms available, such as that used by Sling et al. [1998]. This is made evident by the glbally averaged 3-5 W m -2 impact f the CKD water vapr cntinuum n clear-sky TOA fluxes. n additin, imprved clear-sky radiatin is an imperative starting pint frm which t study the mre cmplex issues f clud absrptin and clud verlap. Finally, a data-validated mdel, which maintains a high level f accuracy within each f its spectral bands, is highly suited t the imprtant bjective f validating GCM simulatins with current and future satellite spectral radiatin measurements.

18 14,890 ACONO ET AL.: VALDATED LONGWAVE RADATON GCM MPACTS Acknwledgments. The authrs wuld like t thank J. Kiehl and J. Kiehl, J. T., J. J. Hack, G. B. Bnan, B. A. Bville, B. P. Briegleb, D. L. Hack f NCAR fr their assistance and fr many helpful discussins Williamsn, and P. J. Rasch, Descriptin f the NCAR Cmmunity during the curse f this prject. We als thank the reviewers fr Climate Mdel (CCM3), NCAR Tech. Nte, NCAR/TN-420+STR, cmments and suggestins that imprved the paper. This wrk was 152 pp., Natl. Cent. fr Atms. Res., Bulder, Cl., supprted by the Department f Energy under grant DE-FG02- Kiehl, J. T., J. J. Hack, G. B. Bnan, B. A. Bville, D. L. Williamsn, 93ER61549 and by the Natinal Science Fundatin under grant and P. J. Rasch, The Natinal Center fr Atmspheric Research ATM Cmmunity Climate Mdel: CCM3, J. Clim., 11, , 1998a. Kiehl, J. T., J. J. Hack, and J. W. Hurrell, The energy budget f the NCAR Cmmunity Climate Mdel: CCM3, J. Clim., 11, , References 1998b. Barkstrm, B., E. Harrisn, G. Smith, R. Green, J. Kibler, R. Cess, and Lacis, A. A., and V. Oinas, A descriptin f the crrelated k- the ERBE Science Team, Earth Radiatin Budget Experiment distributin methd fr mdeling nngray gaseus absrptin, thermal emissin, and multiple scattering in vertically inhmgeneus (ERBE) archival and April 1985 results, Bull. Am. Meterl. Sc., 70, , atmspheres, J. Gephys. Res., 96, , Bnan, G. B., The land surface climatlgy f the NCAR Land Surface Liang, X.-Z., and W.-C. Wang, Clud verlap effects n general circulatin mdel climate simulatins, J. Gephys. Res., 102, 11,039- Mdel cupled t the NCAR Cmmunity Climate Mdel, J. Clim., 11,047, , , Mlawer, E. J., and S. A. Clugh, Shrtwave and lngwave enhance- Briegleb, B. P., Delta-Eddingtn apprximatin fr slar radiatin in ments in the rapid radiative transfer mdel, paper presented at the the NCAR Cmmunity Climate Mdel, J. Gephys. Res., 97, , th Atmspheric Radiatin Measurement (ARM) Science Team Meeting, U.S. Dep. f Energy, San Antni, Texas, March 3, Briegleb, B. P., and D. H. Brmwich, Plar radiatin budgets f the Mlawer, E. J., S. J. Taubman, P. D. Brwn, M. J. acn, and S. A. NCAR CCM3, J. Clim., 11, , 1998a. Briegleb, B. P., and D. H. Brmwich, Plar climate simulatin f the Clugh, Radiative transfer fr inhmgeneus atmspheres: NCAR CCM3, J. Clim., 11, , 1998b. RRTM, a validated crrelated-k mdel fr the lngwave, J. Gephys. Res., 102, 16,663-16,682, Cess, R. D., et al., Cmparisn f the seasnal change in cludradiative frcing frm atmspheric general circulatin mdels and Mrcrette, J.-J., S. A. Clugh, E. J. Mlawer, and M. J. acn, mpact f a validated radiatin scheme, RRTM, n the ECMWF mdel satellite bservatins, J. Gephys. Res., 102, 16,593-16,603, Clugh, S. A., and M. J. acn, Line-by-line calculatin f atmclimate and 10-day frecasts, ECMWF Tech. Mem. 252, 47 pp., Eur. Cent. fr Medium-Range Weather Frecasts, Reading, England, spheric fluxes and cling rates, 2, Applicatin t carbn dixide, ne, methane, nitrus xide, and the halcarbns, J. Gephys. Res., 100, 16,519-16,535, Mrit, R. E., and D. H. Pervich (Eds.), Surface heat budget f the Clugh, S. A., F. X. Kneiys, and R. W. Davies, Line shape and the Arctic Ocean science plan, ARCSS/OAH Rep. 5, 64 pp., Univ. f Wash., Seattle, water vapr cntinuum, Atms. Res., 23, , Phillips, T. J., A summary dcumentatin f the AMP mdels, PC- Clugh, S. A., M. J. acn, and J.-L. Mncet, Line-by-line calculatins MD Rep. 18, UCRL-D , Lawrence Livermre Natl. Lab., f atmspheric fluxes and cling rates: Applicatin t water vapr, Livermre, Calif., J. Gephys. Res., 97, 15,761-15,785, Pint, J. O., J. A. Curry, and C. W. Fairall, Radiative characteristics f Cllins, W. D., and A. K. namdar, Validatin f clear sky fluxes fr the Arctic atmsphere during spring as inferred frm grund-based trpical ceans frm the Earth Radiatin Budget Experiment, J. Clim., 8, , measurements, J. Gephys. Res., 102, , Rberts, R. E., J. E. A. Selby, and L. M. Biberman, nfrared cntin- Duvel, J.P., S. Bny, and H. LeTreut, Clear-sky greenhuse effect uum absrptin by atmspheric water vapr in the 8-12 tm winsensitivity t sea surface temperature changes: An evaluatin f dw, Appl. Opt., 15, , AMP simulatins, Clim. Dyn., 13, , Schwarkpf, M.D., and V. Ramaswamy, Radiative effects f CH4, Ebert, E. E., and J. A. Curry, A parameteriatin f ice clud ptical N20, halcarbns and the freign-bradened H20 cntinuum: A prperties fr climate mdels, J. Gephys. Res., 97, , GCM experiment, J. Gephys. Res., 104, , Ellingsn, R. G., J. Ellis, and S. Fels, The intercmparisn f radiatin cdes used in climate mdels: Lngwave results, J. Gephys. Res., 96, Sling, A., and M. J. Webb, The spectral signature f glbal warming, Q. J. R. Meterl. Sc., 123, , , Sling, A., J. A. Pamment, and M. J. Webb, A 15-year simulatin f Fuquart, Y., Radiative transfer in climate mdels, in NA TOAdvanced Study nstitute n Physically-Based Mdeling and Simulatin f Clithe clear sky greenhuse effect using the ECMWF Reanalysis: Fluxes and cmparisns with ERBE, J. Clim., 11, , mate and Climate Changes, edited by M. E. Schlesinger, pp , Kluwer Acad., Nrwell, Mass., Stkes, G. E., and S. E. Schwart, The Atmspheric Radiatin Mea- Fuquart, Y., B. Bnnel, and V. Ramaswamy, ntercmparing shrtsurement (ARM) Prgram: Prgrammatic backgrund and design f the clud and radiatin testbed, Bull. Am. Meterl. Sc., 75, wave radiatin cdes fr climate studies, J. Gephys. Res., 96, , , Garratt, J. R., A. J. Prata, L. D. Rtstayn, B. J. McAvaney, and S. Tbin, D.C., L. L. Strw, W. J. Lafferty, and W. B. Olsn, Experimental investigatin f the self and N2-bradened cntinuum within Cusack, The surface radiatin budget ver ceans and cntinents, J. Clim., 11, , the '2 band f water vapr, Appl. Opt., 35, , Tbin, D.C., et al., Dwnwelling spectral radiance bservatins at the Gates, W. L., AMP: The Atmspheric Mdel ntercmparisn SHEBA ice statin: Water vapr cntinuum measurements frm 17 Prject, Bull. Am. Meterl. Sc., 73, , t 26 tm, J. Gephys. Res., 104, , Gdy, R. M., R. West, L. Chen, and D. Crisp, The crrelated k- Walden, V. P., S. G. Warren, and F. J. Murcray, Measurement f the distributin methd fr radiatin calculatin in nn-hmgeneus dwnwelling lngwave radiatin spectrum ver the Antarctic Plaatmspheres, J. Quant. Spectrsc. Radiat. Transfer, 42, , teau and cmparisn with a line-by-line radiative transfer mdel fr clear skies, J. Gephys. Res., 103, , Hack, J. J., J. T. Kiehl, and J. W. Hurrell, The hydrlgic and thermdynamic characteristics f the NCAR CCM3, J. Clim., 11, , M. J. acn, E. J. Mlawer, and S. A. Clugh, Atmspheric and H, C.-H., M.-D. Chu, M. Suare, K.-M. Lau, and M. Yan, Cmpar- Envirnmental Research, 840 Memrial Drive, Cambridge, MA isn f mdel-calculated and ERBE-retrieved clear sky utging (mike@aer.cm) J.-J. Mrcrette, Eurpean Center fr Medium-Range Weather lngwave radiatin, J. Gephys. Res., 103, 11,529-11,536, Frecasts, Shinfield Park, Reading, UK, RG2 9AX. Hu, Y. X., and K. Stamnes, An accurate parameteriatin f the radiative prperties f water cluds suitable fr use in climate mdels, J. Clim., 6, , Jakb, C., and S. A. Klein, The rle f vertically varying clud fractin in the parameteriatin f micrphysical prcesses in the ECMWF (Received September 3, 1999; revised January 18, 2000; mdel, Q. J. R. Meterl. Sc., 125, , accepted February 4, 2000.)

NAME TEMPERATURE AND HUMIDITY. I. Introduction

NAME TEMPERATURE AND HUMIDITY. I. Introduction NAME TEMPERATURE AND HUMIDITY I. Intrductin Temperature is the single mst imprtant factr in determining atmspheric cnditins because it greatly influences: 1. The amunt f water vapr in the air 2. The pssibility

More information

Journal of Molecular EvOlution by Springer-Verlag. 1979

Journal of Molecular EvOlution by Springer-Verlag. 1979 0022-28447900140057~ 01.60 J. Ml. Evl. 14, 57--64 (1979) Jurnal f Mlecular EvOlutin by Springer-Verlag. 1979 Slar Radiatin Incident n the Martian Surface W.R. Kuhn and S.K. Atreya Department f Atmspheric

More information

The simulated Earth radiation budget of the National Center for Atmospheric Research community climate model C CM2

The simulated Earth radiation budget of the National Center for Atmospheric Research community climate model C CM2 JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 99, NO. D1, PAGES 2,815-2,827, OCTOBER 2, 1994 The simulated Earth radiatin budget f the Natinal Center fr Atmspheric Research cmmunity climate mdel C CM2 and cmparisns

More information

Energy Inputs and Outputs

Energy Inputs and Outputs Energy Inputs and Outputs Sun Earth ultravilet visible infrared Bth Sun and Earth behave as blackbdies (absrb 100% incident radiatin; emit radiatin at all wavelengths in all directins) Earth receives energy

More information

APPLICATION OF THE BRATSETH SCHEME FOR HIGH LATITUDE INTERMITTENT DATA ASSIMILATION USING THE PSU/NCAR MM5 MESOSCALE MODEL

APPLICATION OF THE BRATSETH SCHEME FOR HIGH LATITUDE INTERMITTENT DATA ASSIMILATION USING THE PSU/NCAR MM5 MESOSCALE MODEL JP2.11 APPLICATION OF THE BRATSETH SCHEME FOR HIGH LATITUDE INTERMITTENT DATA ASSIMILATION USING THE PSU/NCAR MM5 MESOSCALE MODEL Xingang Fan * and Jeffrey S. Tilley University f Alaska Fairbanks, Fairbanks,

More information

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007 CS 477/677 Analysis f Algrithms Fall 2007 Dr. Gerge Bebis Curse Prject Due Date: 11/29/2007 Part1: Cmparisn f Srting Algrithms (70% f the prject grade) The bjective f the first part f the assignment is

More information

Operational Use of the Model Crocus

Operational Use of the Model Crocus Operatinal Use f the Mdel Crcus by French Avalanche Frecast Services E.Brun Meterlgie Natinale Centre d'etudes de la Neige BP 44 Dmaine Universitaire 3842 St-Martin d 'eres France ntrductin Since 1971

More information

Study Group Report: Plate-fin Heat Exchangers: AEA Technology

Study Group Report: Plate-fin Heat Exchangers: AEA Technology Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery

More information

, which yields. where z1. and z2

, which yields. where z1. and z2 The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin

More information

THE PARTITION OF ENERGY INTO WAVES AND CURRENTS

THE PARTITION OF ENERGY INTO WAVES AND CURRENTS THE PARTITION OF ENERGY INTO WAVES AND CURRENTS W. Perrie, C. Tang, Y. Hu and B.M. DeTracy Fisheries & Oceans Canada, Bedfrd Institute f Oceangraphy, Dartmuth, Nva Sctia, Canada 1. INTRODUCTION Ocean mdels

More information

2. Precipitation Chemistry Data

2. Precipitation Chemistry Data STIMATING TH ATMSPHRIC INT A WATRSH INPUT F PLLUTANTS PRRY J. SAMSN epartment f Atmspheric and ceanic Science, University f Michigan, Ann Arbr, All 4819-2143, U.S.A. (Received June 2, 1986; revised March

More information

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium Lecture 17: 11.07.05 Free Energy f Multi-phase Slutins at Equilibrium Tday: LAST TIME...2 FREE ENERGY DIAGRAMS OF MULTI-PHASE SOLUTIONS 1...3 The cmmn tangent cnstructin and the lever rule...3 Practical

More information

Chapter 11: Atmosphere

Chapter 11: Atmosphere Chapter 11: Atmsphere Sectin 1: Atmspheric Basics Objectives 1. Describe the cmpsitin f the atmsphere. 2. Cmpare and cntrast the varius layers f the atmsphere. 3. Identify three methds f transferring energy

More information

Chapter 1 Notes Using Geography Skills

Chapter 1 Notes Using Geography Skills Chapter 1 Ntes Using Gegraphy Skills Sectin 1: Thinking Like a Gegrapher Gegraphy is used t interpret the past, understand the present, and plan fr the future. Gegraphy is the study f the Earth. It is

More information

Climate Application: Aerosol Direct Radiative Forcing. Alex Kuwano SIOG 135/236 Spring 2018

Climate Application: Aerosol Direct Radiative Forcing. Alex Kuwano SIOG 135/236 Spring 2018 Climate Applicatin: Aersl Direct Radiative Frcing Alex Kuwan SIOG 135/236 Spring 2018 Backgrund Infrmatin SW shrtwave LW - lngwave Figure 2. Figure 1. Backgrund Infrmatin AOD Aersl ptical depth τ = z kabs

More information

5.4 Measurement Sampling Rates for Daily Maximum and Minimum Temperatures

5.4 Measurement Sampling Rates for Daily Maximum and Minimum Temperatures 5.4 Measurement Sampling Rates fr Daily Maximum and Minimum Temperatures 1 1 2 X. Lin, K. G. Hubbard, and C. B. Baker University f Nebraska, Lincln, Nebraska 2 Natinal Climatic Data Center 1 1. INTRODUCTION

More information

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax .7.4: Direct frequency dmain circuit analysis Revisin: August 9, 00 5 E Main Suite D Pullman, WA 9963 (509) 334 6306 ice and Fax Overview n chapter.7., we determined the steadystate respnse f electrical

More information

General Chemistry II, Unit I: Study Guide (part I)

General Chemistry II, Unit I: Study Guide (part I) 1 General Chemistry II, Unit I: Study Guide (part I) CDS Chapter 14: Physical Prperties f Gases Observatin 1: Pressure- Vlume Measurements n Gases The spring f air is measured as pressure, defined as the

More information

ENSC Discrete Time Systems. Project Outline. Semester

ENSC Discrete Time Systems. Project Outline. Semester ENSC 49 - iscrete Time Systems Prject Outline Semester 006-1. Objectives The gal f the prject is t design a channel fading simulatr. Upn successful cmpletin f the prject, yu will reinfrce yur understanding

More information

and the Doppler frequency rate f R , can be related to the coefficients of this polynomial. The relationships are:

and the Doppler frequency rate f R , can be related to the coefficients of this polynomial. The relationships are: Algrithm fr Estimating R and R - (David Sandwell, SIO, August 4, 2006) Azimith cmpressin invlves the alignment f successive eches t be fcused n a pint target Let s be the slw time alng the satellite track

More information

NWC SAF ENTERING A NEW PHASE

NWC SAF ENTERING A NEW PHASE NWC SAF ENTERING A NEW PHASE Pilar Fernández Agencia Estatal de Meterlgía (AEMET) Lenard Priet Castr, 8; 28040 Madrid, Spain Phne: +34 915 819 654, Fax: +34 915 819 767 E-mail: mafernandeza@aemet.es Abstract

More information

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) >

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) > Btstrap Methd > # Purpse: understand hw btstrap methd wrks > bs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(bs) > mean(bs) [1] 21.64625 > # estimate f lambda > lambda = 1/mean(bs);

More information

Thermodynamics and Equilibrium

Thermodynamics and Equilibrium Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,

More information

NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION

NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION NUROP Chinese Pinyin T Chinese Character Cnversin NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION CHIA LI SHI 1 AND LUA KIM TENG 2 Schl f Cmputing, Natinal University f Singapre 3 Science

More information

SUPPLEMENTARY MATERIAL GaGa: a simple and flexible hierarchical model for microarray data analysis

SUPPLEMENTARY MATERIAL GaGa: a simple and flexible hierarchical model for microarray data analysis SUPPLEMENTARY MATERIAL GaGa: a simple and flexible hierarchical mdel fr micrarray data analysis David Rssell Department f Bistatistics M.D. Andersn Cancer Center, Hustn, TX 77030, USA rsselldavid@gmail.cm

More information

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce

More information

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is Length L>>a,b,c Phys 232 Lab 4 Ch 17 Electric Ptential Difference Materials: whitebards & pens, cmputers with VPythn, pwer supply & cables, multimeter, crkbard, thumbtacks, individual prbes and jined prbes,

More information

Technical Bulletin. Generation Interconnection Procedures. Revisions to Cluster 4, Phase 1 Study Methodology

Technical Bulletin. Generation Interconnection Procedures. Revisions to Cluster 4, Phase 1 Study Methodology Technical Bulletin Generatin Intercnnectin Prcedures Revisins t Cluster 4, Phase 1 Study Methdlgy Release Date: Octber 20, 2011 (Finalizatin f the Draft Technical Bulletin released n September 19, 2011)

More information

Determining the Accuracy of Modal Parameter Estimation Methods

Determining the Accuracy of Modal Parameter Estimation Methods Determining the Accuracy f Mdal Parameter Estimatin Methds by Michael Lee Ph.D., P.E. & Mar Richardsn Ph.D. Structural Measurement Systems Milpitas, CA Abstract The mst cmmn type f mdal testing system

More information

How do scientists measure trees? What is DBH?

How do scientists measure trees? What is DBH? Hw d scientists measure trees? What is DBH? Purpse Students develp an understanding f tree size and hw scientists measure trees. Students bserve and measure tree ckies and explre the relatinship between

More information

z = Geometric height (m)

z = Geometric height (m) 13 Z = Geptential height (m) = Lapse rate (6.5 K km -1 ) R = Gas cnstant fr dry air (287 Jkg -1 K) g = Acceleratin f gravity (9.8 ms -2 ) TS = Surface Temperature (K) p = Initial air pressure (Assumptin:

More information

Heat Management Methodology for Successful UV Processing on Heat Sensitive Substrates

Heat Management Methodology for Successful UV Processing on Heat Sensitive Substrates Heat Management Methdlgy fr Successful UV Prcessing n Heat Sensitive Substrates Juliet Midlik Prime UV Systems Abstract: Nw in 2005, UV systems pssess heat management cntrls that fine tune the exthermic

More information

WRITING THE REPORT. Organizing the report. Title Page. Table of Contents

WRITING THE REPORT. Organizing the report. Title Page. Table of Contents WRITING THE REPORT Organizing the reprt Mst reprts shuld be rganized in the fllwing manner. Smetime there is a valid reasn t include extra chapters in within the bdy f the reprt. 1. Title page 2. Executive

More information

Chem 115 POGIL Worksheet - Week 8 Thermochemistry (Continued), Electromagnetic Radiation, and Line Spectra

Chem 115 POGIL Worksheet - Week 8 Thermochemistry (Continued), Electromagnetic Radiation, and Line Spectra Chem 115 POGIL Wrksheet - Week 8 Thermchemistry (Cntinued), Electrmagnetic Radiatin, and Line Spectra Why? As we saw last week, enthalpy and internal energy are state functins, which means that the sum

More information

Math Foundations 20 Work Plan

Math Foundations 20 Work Plan Math Fundatins 20 Wrk Plan Units / Tpics 20.8 Demnstrate understanding f systems f linear inequalities in tw variables. Time Frame December 1-3 weeks 6-10 Majr Learning Indicatrs Identify situatins relevant

More information

Supporting information

Supporting information Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 ydrgen perxide electrchemistry n platinum: twards understanding the xygen reductin reactin

More information

Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals of Diffusion

Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals of Diffusion Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals f Diffusin Diffusin: Transprt in a slid, liquid, r gas driven by a cncentratin gradient (r, in the case f mass transprt, a chemical ptential

More information

Least Squares Optimal Filtering with Multirate Observations

Least Squares Optimal Filtering with Multirate Observations Prc. 36th Asilmar Cnf. n Signals, Systems, and Cmputers, Pacific Grve, CA, Nvember 2002 Least Squares Optimal Filtering with Multirate Observatins Charles W. herrien and Anthny H. Hawes Department f Electrical

More information

Subject description processes

Subject description processes Subject representatin 6.1.2. Subject descriptin prcesses Overview Fur majr prcesses r areas f practice fr representing subjects are classificatin, subject catalging, indexing, and abstracting. The prcesses

More information

ABSORPTION OF GAMMA RAYS

ABSORPTION OF GAMMA RAYS 6 Sep 11 Gamma.1 ABSORPTIO OF GAMMA RAYS Gamma rays is the name given t high energy electrmagnetic radiatin riginating frm nuclear energy level transitins. (Typical wavelength, frequency, and energy ranges

More information

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic. Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage

More information

lecture 5: Nucleophilic Substitution Reactions

lecture 5: Nucleophilic Substitution Reactions lecture 5: Nuclephilic Substitutin Reactins Substitutin unimlecular (SN1): substitutin nuclephilic, unimlecular. It is first rder. The rate is dependent upn ne mlecule, that is the substrate, t frm the

More information

Sequential Allocation with Minimal Switching

Sequential Allocation with Minimal Switching In Cmputing Science and Statistics 28 (1996), pp. 567 572 Sequential Allcatin with Minimal Switching Quentin F. Stut 1 Janis Hardwick 1 EECS Dept., University f Michigan Statistics Dept., Purdue University

More information

On Huntsberger Type Shrinkage Estimator for the Mean of Normal Distribution ABSTRACT INTRODUCTION

On Huntsberger Type Shrinkage Estimator for the Mean of Normal Distribution ABSTRACT INTRODUCTION Malaysian Jurnal f Mathematical Sciences 4(): 7-4 () On Huntsberger Type Shrinkage Estimatr fr the Mean f Nrmal Distributin Department f Mathematical and Physical Sciences, University f Nizwa, Sultanate

More information

COMP 551 Applied Machine Learning Lecture 5: Generative models for linear classification

COMP 551 Applied Machine Learning Lecture 5: Generative models for linear classification COMP 551 Applied Machine Learning Lecture 5: Generative mdels fr linear classificatin Instructr: Herke van Hf (herke.vanhf@mail.mcgill.ca) Slides mstly by: Jelle Pineau Class web page: www.cs.mcgill.ca/~hvanh2/cmp551

More information

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA Mental Experiment regarding 1D randm walk Cnsider a cntainer f gas in thermal

More information

22.54 Neutron Interactions and Applications (Spring 2004) Chapter 11 (3/11/04) Neutron Diffusion

22.54 Neutron Interactions and Applications (Spring 2004) Chapter 11 (3/11/04) Neutron Diffusion .54 Neutrn Interactins and Applicatins (Spring 004) Chapter (3//04) Neutrn Diffusin References -- J. R. Lamarsh, Intrductin t Nuclear Reactr Thery (Addisn-Wesley, Reading, 966) T study neutrn diffusin

More information

Formal Uncertainty Assessment in Aquarius Salinity Retrieval Algorithm

Formal Uncertainty Assessment in Aquarius Salinity Retrieval Algorithm Frmal Uncertainty Assessment in Aquarius Salinity Retrieval Algrithm T. Meissner Aquarius Cal/Val Meeting Santa Rsa March 31/April 1, 2015 Outline 1. Backgrund/Philsphy 2. Develping an Algrithm fr Assessing

More information

PHYSICAL PROPERTIES OF SEA WATER - TEMPERATURE AND SALINITY

PHYSICAL PROPERTIES OF SEA WATER - TEMPERATURE AND SALINITY NAME PHYSICAL PROPERTIES OF SEA WATER - TEMPERATURE AND SALINITY I. Sea water temperatures The distributin f surface temperatures fr the majr ceans is shwn in Figure 1. The istherms (lines f equal temperature)

More information

AMERICAN PETROLEUM INSTITUTE API RP 581 RISK BASED INSPECTION BASE RESOURCE DOCUMENT BALLOT COVER PAGE

AMERICAN PETROLEUM INSTITUTE API RP 581 RISK BASED INSPECTION BASE RESOURCE DOCUMENT BALLOT COVER PAGE Ballt ID: Title: USING LIFE EXTENSION FACTOR (LEF) TO INCREASE BUNDLE INSPECTION INTERVAL Purpse: 1. Prvides a methd t increase a bundle s inspectin interval t accunt fr LEF. 2. Clarifies Table 8.6.5 Als

More information

3. Mass Transfer with Chemical Reaction

3. Mass Transfer with Chemical Reaction 8 3. Mass Transfer with Chemical Reactin 3. Mass Transfer with Chemical Reactin In the fllwing, the fundamentals f desrptin with chemical reactin, which are applied t the prblem f CO 2 desrptin in ME distillers,

More information

THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC TESTS OF ELECTRONIC ASSEMBLIES

THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC TESTS OF ELECTRONIC ASSEMBLIES PREFERRED RELIABILITY PAGE 1 OF 5 PRACTICES PRACTICE NO. PT-TE-1409 THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC Practice: Perfrm all thermal envirnmental tests n electrnic spaceflight hardware in a flight-like

More information

Document for ENES5 meeting

Document for ENES5 meeting HARMONISATION OF EXPOSURE SCENARIO SHORT TITLES Dcument fr ENES5 meeting Paper jintly prepared by ECHA Cefic DUCC ESCOM ES Shrt Titles Grup 13 Nvember 2013 OBJECTIVES FOR ENES5 The bjective f this dcument

More information

More Tutorial at

More Tutorial at Answer each questin in the space prvided; use back f page if extra space is needed. Answer questins s the grader can READILY understand yur wrk; nly wrk n the exam sheet will be cnsidered. Write answers,

More information

Application of ILIUM to the estimation of the T eff [Fe/H] pair from BP/RP

Application of ILIUM to the estimation of the T eff [Fe/H] pair from BP/RP Applicatin f ILIUM t the estimatin f the T eff [Fe/H] pair frm BP/RP prepared by: apprved by: reference: issue: 1 revisin: 1 date: 2009-02-10 status: Issued Cryn A.L. Bailer-Jnes Max Planck Institute fr

More information

Computational modeling techniques

Computational modeling techniques Cmputatinal mdeling techniques Lecture 4: Mdel checing fr ODE mdels In Petre Department f IT, Åb Aademi http://www.users.ab.fi/ipetre/cmpmd/ Cntent Stichimetric matrix Calculating the mass cnservatin relatins

More information

Chapter 3: Cluster Analysis

Chapter 3: Cluster Analysis Chapter 3: Cluster Analysis } 3.1 Basic Cncepts f Clustering 3.1.1 Cluster Analysis 3.1. Clustering Categries } 3. Partitining Methds 3..1 The principle 3.. K-Means Methd 3..3 K-Medids Methd 3..4 CLARA

More information

Lecture 23: Lattice Models of Materials; Modeling Polymer Solutions

Lecture 23: Lattice Models of Materials; Modeling Polymer Solutions Lecture 23: 12.05.05 Lattice Mdels f Materials; Mdeling Plymer Slutins Tday: LAST TIME...2 The Bltzmann Factr and Partitin Functin: systems at cnstant temperature...2 A better mdel: The Debye slid...3

More information

Kinetic Model Completeness

Kinetic Model Completeness 5.68J/10.652J Spring 2003 Lecture Ntes Tuesday April 15, 2003 Kinetic Mdel Cmpleteness We say a chemical kinetic mdel is cmplete fr a particular reactin cnditin when it cntains all the species and reactins

More information

Differentiation Applications 1: Related Rates

Differentiation Applications 1: Related Rates Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm

More information

Biplots in Practice MICHAEL GREENACRE. Professor of Statistics at the Pompeu Fabra University. Chapter 13 Offprint

Biplots in Practice MICHAEL GREENACRE. Professor of Statistics at the Pompeu Fabra University. Chapter 13 Offprint Biplts in Practice MICHAEL GREENACRE Prfessr f Statistics at the Pmpeu Fabra University Chapter 13 Offprint CASE STUDY BIOMEDICINE Cmparing Cancer Types Accrding t Gene Epressin Arrays First published:

More information

MODULE FOUR. This module addresses functions. SC Academic Elementary Algebra Standards:

MODULE FOUR. This module addresses functions. SC Academic Elementary Algebra Standards: MODULE FOUR This mdule addresses functins SC Academic Standards: EA-3.1 Classify a relatinship as being either a functin r nt a functin when given data as a table, set f rdered pairs, r graph. EA-3.2 Use

More information

Module 4: General Formulation of Electric Circuit Theory

Module 4: General Formulation of Electric Circuit Theory Mdule 4: General Frmulatin f Electric Circuit Thery 4. General Frmulatin f Electric Circuit Thery All electrmagnetic phenmena are described at a fundamental level by Maxwell's equatins and the assciated

More information

Fall 2013 Physics 172 Recitation 3 Momentum and Springs

Fall 2013 Physics 172 Recitation 3 Momentum and Springs Fall 03 Physics 7 Recitatin 3 Mmentum and Springs Purpse: The purpse f this recitatin is t give yu experience wrking with mmentum and the mmentum update frmula. Readings: Chapter.3-.5 Learning Objectives:.3.

More information

Lead/Lag Compensator Frequency Domain Properties and Design Methods

Lead/Lag Compensator Frequency Domain Properties and Design Methods Lectures 6 and 7 Lead/Lag Cmpensatr Frequency Dmain Prperties and Design Methds Definitin Cnsider the cmpensatr (ie cntrller Fr, it is called a lag cmpensatr s K Fr s, it is called a lead cmpensatr Ntatin

More information

A Polarimetric Survey of Radio Frequency Interference in C- and X-Bands in the Continental United States using WindSat Radiometry

A Polarimetric Survey of Radio Frequency Interference in C- and X-Bands in the Continental United States using WindSat Radiometry A Plarimetric Survey f Radi Frequency Interference in C- and X-Bands in the Cntinental United States using WindSat Radimetry Steven W. Ellingsn Octber, Cntents Intrductin WindSat Methdlgy Analysis f RFI

More information

Chapter 23 Electromagnetic Waves Lecture 14

Chapter 23 Electromagnetic Waves Lecture 14 Chapter 23 Electrmagnetic Waves Lecture 14 23.1 The Discvery f Electrmagnetic Waves 23.2 Prperties f Electrmagnetic Waves 23.3 Electrmagnetic Waves Carry Energy and Mmentum 23.4 Types f Electrmagnetic

More information

A New Evaluation Measure. J. Joiner and L. Werner. The problems of evaluation and the needed criteria of evaluation

A New Evaluation Measure. J. Joiner and L. Werner. The problems of evaluation and the needed criteria of evaluation III-l III. A New Evaluatin Measure J. Jiner and L. Werner Abstract The prblems f evaluatin and the needed criteria f evaluatin measures in the SMART system f infrmatin retrieval are reviewed and discussed.

More information

ALE 21. Gibbs Free Energy. At what temperature does the spontaneity of a reaction change?

ALE 21. Gibbs Free Energy. At what temperature does the spontaneity of a reaction change? Name Chem 163 Sectin: Team Number: ALE 21. Gibbs Free Energy (Reference: 20.3 Silberberg 5 th editin) At what temperature des the spntaneity f a reactin change? The Mdel: The Definitin f Free Energy S

More information

Thermodynamics Partial Outline of Topics

Thermodynamics Partial Outline of Topics Thermdynamics Partial Outline f Tpics I. The secnd law f thermdynamics addresses the issue f spntaneity and invlves a functin called entrpy (S): If a prcess is spntaneus, then Suniverse > 0 (2 nd Law!)

More information

ECE 545 Project Deliverables

ECE 545 Project Deliverables ECE 545 Prject Deliverables Tp-level flder: _ Secnd-level flders: 1_assumptins 2_blck_diagrams 3_interface 4_ASM_charts 5_surce_cde 6_verificatin 7_timing_analysis 8_results

More information

THERMAL TEST LEVELS & DURATIONS

THERMAL TEST LEVELS & DURATIONS PREFERRED RELIABILITY PAGE 1 OF 7 PRACTICES PRACTICE NO. PT-TE-144 Practice: 1 Perfrm thermal dwell test n prtflight hardware ver the temperature range f +75 C/-2 C (applied at the thermal cntrl/munting

More information

Dr M. BROUARD. 5. Thermodynamic formulation of Transition State Theory Entropy of activation. Thermochemical kinetics. CHEMICAL REACTION RATES

Dr M. BROUARD. 5. Thermodynamic formulation of Transition State Theory Entropy of activation. Thermochemical kinetics. CHEMICAL REACTION RATES CHEMICAL REACTION RATES Dr M. BROUARD Trinity Term 2003 A. Bimlecular Reactins 5 Lectures 1. Intrductin Simple cllisin thery. Ptential energy curves and surfaces. The reactin crdinate and barriers t reactin.

More information

An interactive cirrus cloud radiative parameterization

An interactive cirrus cloud radiative parameterization JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 104, NO. D8, PAGES 9501-9515, APRIL 27, 1999 An interactive cirrus clud radiative parameterizatin fr glbal climate mdels Everette Jseph and Wei-Chyung Wang Atmspheric

More information

BOUNDED UNCERTAINTY AND CLIMATE CHANGE ECONOMICS. Christopher Costello, Andrew Solow, Michael Neubert, and Stephen Polasky

BOUNDED UNCERTAINTY AND CLIMATE CHANGE ECONOMICS. Christopher Costello, Andrew Solow, Michael Neubert, and Stephen Polasky BOUNDED UNCERTAINTY AND CLIMATE CHANGE ECONOMICS Christpher Cstell, Andrew Slw, Michael Neubert, and Stephen Plasky Intrductin The central questin in the ecnmic analysis f climate change plicy cncerns

More information

Writing Guidelines. (Updated: November 25, 2009) Forwards

Writing Guidelines. (Updated: November 25, 2009) Forwards Writing Guidelines (Updated: Nvember 25, 2009) Frwards I have fund in my review f the manuscripts frm ur students and research assciates, as well as thse submitted t varius jurnals by thers that the majr

More information

General Chemistry II, Unit II: Study Guide (part 1)

General Chemistry II, Unit II: Study Guide (part 1) General Chemistry II, Unit II: Study Guide (part 1) CDS Chapter 21: Reactin Equilibrium in the Gas Phase General Chemistry II Unit II Part 1 1 Intrductin Sme chemical reactins have a significant amunt

More information

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance Verificatin f Quality Parameters f a Slar Panel and Mdificatin in Frmulae f its Series Resistance Sanika Gawhane Pune-411037-India Onkar Hule Pune-411037- India Chinmy Kulkarni Pune-411037-India Ojas Pandav

More information

BASD HIGH SCHOOL FORMAL LAB REPORT

BASD HIGH SCHOOL FORMAL LAB REPORT BASD HIGH SCHOOL FORMAL LAB REPORT *WARNING: After an explanatin f what t include in each sectin, there is an example f hw the sectin might lk using a sample experiment Keep in mind, the sample lab used

More information

PSU GISPOPSCI June 2011 Ordinary Least Squares & Spatial Linear Regression in GeoDa

PSU GISPOPSCI June 2011 Ordinary Least Squares & Spatial Linear Regression in GeoDa There are tw parts t this lab. The first is intended t demnstrate hw t request and interpret the spatial diagnstics f a standard OLS regressin mdel using GeDa. The diagnstics prvide infrmatin abut the

More information

UNIT 13: WEATHER AND CLIMATE

UNIT 13: WEATHER AND CLIMATE ABSTRACT This unit cvers the tpics f meterlgy and basic weather predictin, factrs impacting weather, and factrs impacting climate. UNIT 13: WEATHER AND CLIMATE STUDENT NOTES PACKET STUDENT NAME: Unit 13:

More information

A study on GPS PDOP and its impact on position error

A study on GPS PDOP and its impact on position error IndianJurnalfRadi& SpacePhysics V1.26,April1997,pp. 107-111 A study n GPS and its impact n psitin errr P Banerjee,AnindyaBse& B SMathur TimeandFrequencySectin,NatinalPhysicalLabratry,NewDelhi110012 Received19June

More information

Power Formulas for Various Energy Resources and Their Application

Power Formulas for Various Energy Resources and Their Application EP@BHS-TOPIC 2: Energy, UNIT2.2: Energy Cnversin and Efficiency Page 1 UNIT 2.2 Energy Cnversin and Efficiency Purpse Once energy resurces are effectively utilized, cnversin t ther frms f energy is necessary

More information

AP Statistics Notes Unit Two: The Normal Distributions

AP Statistics Notes Unit Two: The Normal Distributions AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (z-scres).

More information

( ) kt. Solution. From kinetic theory (visualized in Figure 1Q9-1), 1 2 rms = 2. = 1368 m/s

( ) kt. Solution. From kinetic theory (visualized in Figure 1Q9-1), 1 2 rms = 2. = 1368 m/s .9 Kinetic Mlecular Thery Calculate the effective (rms) speeds f the He and Ne atms in the He-Ne gas laser tube at rm temperature (300 K). Slutin T find the rt mean square velcity (v rms ) f He atms at

More information

CHAPTER 8 APPLICATIONS OF EMPIRICAL FETCH-LIMITED SPECTRAL. FORMULAS to GREAT LAKES WAVES 1. Paul C. Liu, Mi ASCE

CHAPTER 8 APPLICATIONS OF EMPIRICAL FETCH-LIMITED SPECTRAL. FORMULAS to GREAT LAKES WAVES 1. Paul C. Liu, Mi ASCE CHAPTER 8 APPLICATIONS OF EMPIRICAL FETCH-LIMITED SPECTRAL FORMULAS to GREAT LAKES WAVES 1 Paul C. Liu, Mi ASCE ABSTRACT Tw episdes f Great Lakes waves fr which bth wind and wave data are simultaneusly

More information

To get you thinking...

To get you thinking... T get yu thinking... 1.) What is an element? Give at least 4 examples f elements. 2.) What is the atmic number f hydrgen? What des a neutral hydrgen atm cnsist f? Describe its "mtin". 3.) Hw des an atm

More information

Pattern Recognition 2014 Support Vector Machines

Pattern Recognition 2014 Support Vector Machines Pattern Recgnitin 2014 Supprt Vectr Machines Ad Feelders Universiteit Utrecht Ad Feelders ( Universiteit Utrecht ) Pattern Recgnitin 1 / 55 Overview 1 Separable Case 2 Kernel Functins 3 Allwing Errrs (Sft

More information

CAUSAL INFERENCE. Technical Track Session I. Phillippe Leite. The World Bank

CAUSAL INFERENCE. Technical Track Session I. Phillippe Leite. The World Bank CAUSAL INFERENCE Technical Track Sessin I Phillippe Leite The Wrld Bank These slides were develped by Christel Vermeersch and mdified by Phillippe Leite fr the purpse f this wrkshp Plicy questins are causal

More information

Interference is when two (or more) sets of waves meet and combine to produce a new pattern.

Interference is when two (or more) sets of waves meet and combine to produce a new pattern. Interference Interference is when tw (r mre) sets f waves meet and cmbine t prduce a new pattern. This pattern can vary depending n the riginal wave directin, wavelength, amplitude, etc. The tw mst extreme

More information

Comprehensive Exam Guidelines Department of Chemical and Biomolecular Engineering, Ohio University

Comprehensive Exam Guidelines Department of Chemical and Biomolecular Engineering, Ohio University Cmprehensive Exam Guidelines Department f Chemical and Bimlecular Engineering, Ohi University Purpse In the Cmprehensive Exam, the student prepares an ral and a written research prpsal. The Cmprehensive

More information

Soliton-Effect Optical Pulse Compression in Bulk Media with χ (3) Nonlinearity. 1 Introduction

Soliton-Effect Optical Pulse Compression in Bulk Media with χ (3) Nonlinearity. 1 Introduction Nnlinear Analysis: Mdelling and Cntrl, Vilnius, IMI,, N 5 Lithuanian Assciatin f Nnlinear Analysts, Slitn-Effect Optical Pulse Cmpressin in Bulk Media with χ (3) Nnlinearity Received: 9.7. Accepted: 11.1.

More information

Chapters 29 and 35 Thermochemistry and Chemical Thermodynamics

Chapters 29 and 35 Thermochemistry and Chemical Thermodynamics Chapters 9 and 35 Thermchemistry and Chemical Thermdynamics 1 Cpyright (c) 011 by Michael A. Janusa, PhD. All rights reserved. Thermchemistry Thermchemistry is the study f the energy effects that accmpany

More information

Chemistry 20 Lesson 11 Electronegativity, Polarity and Shapes

Chemistry 20 Lesson 11 Electronegativity, Polarity and Shapes Chemistry 20 Lessn 11 Electrnegativity, Plarity and Shapes In ur previus wrk we learned why atms frm cvalent bnds and hw t draw the resulting rganizatin f atms. In this lessn we will learn (a) hw the cmbinatin

More information

ROUNDING ERRORS IN BEAM-TRACKING CALCULATIONS

ROUNDING ERRORS IN BEAM-TRACKING CALCULATIONS Particle Acceleratrs, 1986, Vl. 19, pp. 99-105 0031-2460/86/1904-0099/$15.00/0 1986 Grdn and Breach, Science Publishers, S.A. Printed in the United States f America ROUNDING ERRORS IN BEAM-TRACKING CALCULATIONS

More information

MIDTERM EXAM SOLUTIONS

MIDTERM EXAM SOLUTIONS MIDTERM EXAM SOLUTIONS Science A30 The Atmsphere March 0, 008 INSTRUCTIONS WRITE YOUR NAME ON EVERY PAGE. Exam will last 80 minutes. Cmplete the prblems directly n the exam. Extra paper available if needed.

More information

Preparation work for A2 Mathematics [2017]

Preparation work for A2 Mathematics [2017] Preparatin wrk fr A2 Mathematics [2017] The wrk studied in Y12 after the return frm study leave is frm the Cre 3 mdule f the A2 Mathematics curse. This wrk will nly be reviewed during Year 13, it will

More information

Statistics, Numerical Models and Ensembles

Statistics, Numerical Models and Ensembles Statistics, Numerical Mdels and Ensembles Duglas Nychka, Reinhard Furrer,, Dan Cley Claudia Tebaldi, Linda Mearns, Jerry Meehl and Richard Smith (UNC). Spatial predictin and data assimilatin Precipitatin

More information

5 th grade Common Core Standards

5 th grade Common Core Standards 5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin

More information