Calculation of the Resistance of a Ship Mathematical Formulation. Calculation of the Resistance of a Ship Mathematical Formulation
|
|
|
- Kathlyn Ryan
- 5 years ago
- Views:
Transcription
1 Ressance s obaned from he sm of he frcon and pressre ressance arables o deermne: - eloc ecor, (3) = (,, ) = (,, ) - Pressre, p () ( - Dens, ρ, s defned b he eqaon of sae Ressance and Proplson Lecre 0 4 eqaons o deermne 4 nknons: - Mass conseraon - Momenm balance (Neon s La) - Neonan Fld, shear sresses proporonal o he gradens of he eloc componens Ressance and Proplson Lecre 0
2 Mass conseraon - Dfferenal form 0 = Ressance and Proplson Lecre Inegral form = 0 ( ) 0 = o ds n = p ρ Momenm balance (Naer-Sokes eqaons) Ressance and Proplson Lecre 0 4 = = p g p ρ ρ m a / Conecon Pressre Dffson egh force scos forces
3 = p p ρ Momenm balance (=consan) (Naer-Sokes eqaons) Ressance and Proplson Lecre 0 5 m a / = = p g p ρ ρ Conecon Pressre Dffson egh force scos forces Renolds nmber of he flo arond shps s larger han 0 6 and ma reach Mos flos are rblen. Transon from lamnar o rblen flo depends on he Ressance and Proplson Lecre 0 6 lamnar o rblen flo depends on he Renolds nmber and all roghness. The mos sal approach s o assme ha he flo s fll-rblen (he rblence model s spposed o ake care of ranson)
4 Trblen Flo hp://.obe.com/ach?=xollkedog&feare=relaed hp://br.obe.com/ach?=7kkfgany hp://br.obe.com/ach?=qhxihpc Ressance and Proplson Lecre 0 7 Trblen Flo Ressance and Proplson Lecre 0
5 Trblen Flo Ressance and Proplson Lecre 0 Trblen Flo Ressance and Proplson Lecre 0
6 Trblen Flo Ressance and Proplson Lecre 0 Trblen Flo Ressance and Proplson Lecre 0
7 Trblen Flo Ressance and Proplson Lecre 0 3 Trblen Flo Ressance and Proplson Lecre 0 4
8 Trblen Flo Ressance and Proplson Lecre 0 5 Trblen Flo. Aleaor. Three-dmensonal 3. Hgh dffson 4. Dsspae 5. Proper of he flo 6. Connos medm 7. Hgh Renolds nmber Ressance and Proplson Lecre 0 6
9 Trblen Flo Drec Nmercal Smlaon, DNS Naer-Sokes eqaons soled nmercall h a grd spacng and a me sep sffcenl small o resole he smalles eddes of he flo. On he oher hand, smlaon me ms be large enogh o capre he effecs of he larges eddes Nmercal accrac of he solon s er mporan (o aod msleadng resls de o nmercal dffson) Dependen arables change n space and me,.e. he are he nsaaneos ales a a gen flo locaon Ressance and Proplson Lecre 0 7 Trblen Flo Large-Edd Smlaon, LES Naer-Sokes eqaons flered n space. Era mahemacal model reqred o nclde he effec of he flered scales. Tme dependen nmercal solon. Nmercal accrac s also mporan ( on-gong debae abo ho mch ). Correc applcaon o near-all flos s dffcl. Dependen arables change h me, b hae a dfferen meanng of DNS, de o flerng n space Ressance and Proplson Lecre 0 8
10 Trblen Flo Ml-Scale Smlaon Naer-Sokes eqaons spl n o small and large scales. Analcal mehods sed o oban an appromae solon of he small scales. Nmercal solon of he large scales n me h effec of small scales nclded from s appromae solon. Nmercal accrac s sll mporan. Applcaon near-alls roblesome ( small scales become oo small...) Ressance and Proplson Lecre 0 9 Trblen Flo Renolds-aeraged eqaons Sascs appled o mass conseraon and momenm balance (conn and Naer-Sokes). Tpe of sasc handlng depends on flo properes:. Spaal aeragng. Tme aeragng 3. Ensemble aeragng Insaaneos eloc componens, ~, (dependen arables) spl n o a mean ale,, and a flcaon, ~ = Ressance and Proplson Lecre 0 0
11 Trblen Flo Renolds-aeraged eqaons. Spaal aeragng n = = lm n ~ (,, ) n Homogeneos rblence Ressance and Proplson Lecre 0 Trblen Flo Renolds-aeraged eqaons. Tme aeragng = lm T o T ~ o T d Sascall sead flo Ressance and Proplson Lecre 0
12 Trblen Flo Renolds-aeraged eqaons 3. Ensemble aeragng = = lm n n ( ~ ( ) ) n Mean ales are me dependen. Sable for perodc flos. Ressance and Proplson Lecre 0 3 Trblen Flo Renolds-aeraged (RANS) eqaons Tme aeragng appled o he dependen arables and o conseraon prncples ~ = lm T o T o ~ d T = Φ ~ sands for an of he dependen arables (ncompressble flo,,,p) Ressance and Proplson Lecre 0 4
13 Trblen Flo Renolds-aeraged (RANS) eqaons Decomposon of he nsananeos arables ~ = Φ ~ Φ Insananeos arable Mean ale Flcaon arond he mean ale Ressance and Proplson Lecre 0 5 Trblen Flo Renolds-aeraged (RANS) eqaons Conseqences of me aeragng Φ = 0 = 0 = 0 Tme derae of mean ale s ero Mean ale of he me derae of he flcaons s ero Ressance and Proplson Lecre 0 6
14 Lnear erms ~ ~ Φ _ Trblen Flo Renolds-aeraged (RANS) eqaons Ressance and Proplson Lecre 0 7 = 0 Φ = Φ = Φ = ~ ~ _ Non-lnear erms = ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Trblen Flo Renolds-aeraged (RANS) eqaons Ressance and Proplson Lecre 0 8 = ~ ~ ~ Φ = ~ ~ _
15 Conn eqaon Trblen Flo Renolds-aeraged (RANS) eqaons Ressance and Proplson Lecre = = - eloc flcaons also sasf = P ρ Momenm eqaons Trblen Flo Renolds-aeraged (RANS) eqaons Ressance and Proplson Lecre 0 30 = = P P ρ ρ Renolds sresses The nmber of eqaons s smaller han he nmber of nknons ρ
16 Transpor eqaon of D D Trblen Flo Renolds-aeraged (RANS) eqaons = k k = k ρ _ p ρ k k ( ) Ssem remans h less eqaons han nknons k k p ρ k Ressance and Proplson Lecre 0 3 k p Trblen Flo Renolds-aeraged (RANS) eqaons Renolds sress models - 6 addonal ranspor eqaons - Mos of he erms of he Renolds sresses ranspor eqaons ms be modeled, ncldng pressre flcaons - There are alernae Eplc Algebrac Sress Models (EARSM) aalable - Trblence ansorop s aken no accon Ressance and Proplson Lecre 0 3
17 Edd-scos models - Bossnesq hpohess: he Renolds sresses are proporonal o mean eloc deraes Trblen Flo Renolds-aeraged (RANS) eqaons Ressance and Proplson Lecre 0 33 are proporonal o mean eloc deraes - The proporonal consan s he edd-scos - I s dffcl o nclde he ansorop of rblence. Mos models are soropc,.e. edd-scos s a scalar qan ef ef ef P ρ = Trblen Flo Renolds-aeraged (RANS) eqaons Momenm eqaons ncldng an effece scos Ressance and Proplson Lecre 0 34 ef ef ef ef ef ef ef P P ρ ρ ρ = = =
18 Trblen Flo Renolds-aeraged (RANS) eqaons Momenm eqaons ncldng an effece scos s he edd-scos - Edd-scos s obaned from eloc and lengh scales of rblence - Seeral models proposed n he las 50 ears Ressance and Proplson Lecre 0 35 Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models - Algebrac models - Trblence lengh scale l = κ Mng lengh - Trblence eloc scale l ω ω s he orc ecor = l ω Ressance and Proplson Lecre 0 36
19 Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models - Algebrac models - Dampng fncon s appled o he rblence lengh scale n he near-all regon. Lengh scale ms be changed for he oer regon of he bondar-laer, akes and es - Smples model aalable, b h seere lmaons. Nmercal mplemenaon n comple flos ma be roblesome Ressance and Proplson Lecre 0 37 Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models - -eqaon models ( old sle ) - Trblence lengh scale s dencal o ha sed n he algebrac models - Trblence eloc scale s he sqare roo of he rblence knec energ, hch has s on ranspor eqaon k = Ressance and Proplson Lecre 0 38
20 Trblen Flo Renolds-aeraged (RANS) eqaons Trblence knec energ, k - Transpor eqaon (k balance) Dk D k = k = p ρ k _ Ressance and Proplson Lecre 0 39 Trblen Flo Renolds-aeraged (RANS) eqaons Trblence knec energ, k p ρ k _ Conecon Prodcon Trblen dffson Ressance and Proplson Lecre 0 40
21 Trblen Flo Renolds-aeraged (RANS) eqaons Trblence knec energ, k k scos dffson Dsspaon rae, e Mos of he erms nclde nknon qanes and so he ms be modeled Ressance and Proplson Lecre 0 4 Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models ~ c b, c b, c - -eqaons models Spalar & Allmaras ~ = c ~~ b S σ Consans s [ ( ~ ) ~ c ( ~ ~ )] f, = ~ f f b Fncons c f ~ d Ressance and Proplson Lecre 0 4
22 Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models - -eqaon model of Spalar & Allmaras - ald don o he all - Edd-scos s proporonal o he dependen arable of he model - I reqres he dsance o he all,d, and n s orgnal erson he locaon of ranson Ressance and Proplson Lecre 0 43 Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models - -eqaon models: rblence eloc scale s k k - k-ε model = Cµ ε k k = S k ε σ k ε ε ε = C S k σ C C, C, σ, σ Consans µ, k ε ε C Ressance and Proplson Lecre 0 44 ε ε k
23 Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models - k-ε model - del sed, specall n flos ho alls and n hea ransfer problems - Poor resls for flos h aderse pressre gradens Ressance and Proplson Lecre 0 45 Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models - k-ε model - Can no be appled n he near-all regon - To-laer models combne he k-ε model n he oer regon h a -eqaon model n he near-all regon - There are (oo man) Lo-Renolds nmber ersons of he model for s eenson o he near-all regon Ressance and Proplson Lecre 0 46
24 - k-ω model ω k = Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models Ressance and Proplson Lecre 0 47 ( ) = = ω ω ω ω σ σ α β β βω ω ω ω σ α ω ω ω β σ F k F S k k S k k k k,,,, * * Consans Fncon - k-ω model Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models Ressance and Proplson Lecre Ma be appled don o he all - ω goes o nfn a he all (smooh alls) - Seeral formlaons aalable. One of he mos poplar s he SST (Shear-Sress Transpor) erson ha ncldes a lmer for he edd-scos
25 Trblen Flo Renolds-aeraged (RANS) eqaons Edd-scos rblence models - k-ω model - del sed for he calclaon of aderse pressre graden flos - Nmercal mplemenaon s no ral (ω all bondar condon) and some ersons (as for eample SST) reqre he dsance o he all Ressance and Proplson Lecre 0 49 Trblen Flo Renolds-aeraged (RANS) eqaons Bondar condons - Sold alls τ a) No slp condon appled drecl a he all = µ = 0 b) all fncons µ, <, τ =, τ = ln C, > 30 50, <? κ τ τ ρ Ressance and Proplson Lecre 0 50 τ =
26 Trblen Flo Renolds-aeraged (RANS) eqaons Bondar condons - Eernal bondar a) ndsrbed Flo b) Poenal flo solon Ressance and Proplson Lecre 0 5 Trblen Flo Renolds-aeraged (RANS) eqaons Bondar condons - Free srface a) Srface rackng: doman fed o he free srface (erae procedre) here pressre s fed. A he free srface, normal eloc componens s ero and shear-sress s dencal for aer and ar b) Srface caprng: doman coers ar and aer olme of fld (OF) or Leel Se Ressance and Proplson Lecre 0 5
27 Nmercal solon of RANS eqaons Flo arond he KLCC anker Ressance and Proplson Lecre 0 53 Nmercal solon of RANS eqaons Flo arond he KLCC anker Ressance and Proplson Lecre 0 54
28 Nmercal solon of RANS eqaons Flo arond he KLCC anker Ressance and Proplson Lecre 0 55 Nmercal solon of RANS eqaons Flo arond he KLCC anker Ressance and Proplson Lecre 0 56
29 Nmercal solon of RANS eqaons Flo arond he KLCC anker Model k-ω SST 3.5 Rn=4,6 0 6 C F k-ω ahbh h /h Ressance and Proplson Lecre 0 57 Nmercal solon of RANS eqaons Flo arond he KLCC anker 0.8 k-ω Model k-ω SST Rn=4,6 0 6 C P h /h Ressance and Proplson Lecre 0 58
30 Nmercal solon of RANS eqaons Flo arond he KLCC anker.55 Model k-ω SST Rn=, k-ω SST p=.8 C F Ressance and Proplson Lecre 0 59 h /h Nmercal solon of RANS eqaons Flo arond he KLCC anker Model k-ω SST Rn=, C P k-ω p= h /h Ressance and Proplson Lecre 0 60
31 Nmercal solon of RANS eqaons Flo arond he KLCC anker Cp: Model k-ω SST Rn=4,6 06 Cp: Rn=,03 09 Ressance and Proplson Lecre 0 6 Nmercal solon of RANS eqaons Flo arond he KLCC anker Rn=4,6 06 Model k-ω SST Rn=,03 09 Ressance and Proplson Lecre 0 6
32 Nmercal solon of RANS eqaons Flo arond he KLCC anker : Model k-ω SST Z/Lpp Rn=4, Y/Lpp Ressance and Proplson Lecre 0 63 Nmercal solon of RANS eqaons Flo arond he KLCC anker : Model k-ω SST Z/Lpp Rn=, Y/Lpp Ressance and Proplson Lecre 0 64
33 0 Nmercal solon of RANS eqaons Flo arond he KLCC anker Model k-ω SST /L PP Rn=4, Ressance and Proplson /L PP Lecre Model k-ω SST -0.0 /L PP Rn=, /L PP Ressance and Proplson Lecre 0 66
34 Nmercal solon of RANS eqaons Flo arond he KLCC anker =-0.075L PP =-0.09L PP Model k-ω SST 0.5 = L PP Epermenal G G G3 G4 = L PP = L PP =-0.058L PP /L PP Rn=4,6 0 6 Ressance and Proplson Lecre 0 67 Nmercal solon of RANS eqaons Flo arond he KLCC anker 0.6 k-ω ah bh Model k-ω SST 0.56 f h /h ake fracon Rn=4,6 0 6 Ressance and Proplson Lecre 0 68
35 Nmercal solon of RANS eqaons Flo arond he KLCC anker 0.8 Model k-ω SST k-ω p=.6 f Rn=, h/h.5 Ressance and Proplson Lecre 0 ake fracon 69 Roghness effecs Ressance and Proplson Lecre 0 70
36 Roghness effecs C F 0 3 Nmercal nceran h R =0 h.8 R /L=50µm p=.8 p= 0.9 h R /L=30µm h R /L=00µm.6 p=.0 h R /L=50µm X p * = h R /L=50µm h R /L=75µm p * = h R /L=300µm p * =.4 p * = p * = h R /L=00µm p= X X X X X X h /h Tanker C P h R =0 p=.5 h R /L=30µm p=.5 h R /L=50µm p=.6 h R /L=75µm p=.6 h R /L=00µm p=.6 X X h /h h R /L=50µm p=.6 h R /L=00µm p=.6 h R /L=50µm p=.7 h R /L=300µm X X X X X Frcon ressance, C F Pressre ressance, C P Ressance and Proplson Lecre 0 7 Roghness effecs Roghness effecs on he flo feld Frcon ressance, C F C F /C F (h R =0).5 Tanker, Rn= Tanker, Rn= Conaner shp, Rn= Conaner shp, Rn= Car carrer, Rn= C F /C F (h R =0).3.. Tanker, Rn= Tanker, Rn= Conaner shp, Rn= Conaner shp, Rn=. 0 9 Car carrer, Rn= h R ( µm) = h Ressance and Proplson Lecre 0 h R R 7 R
37 Roghness effecs on he flo feld.5 Tanker, Rn= Tanker, Rn= Conaner shp, Rn= Conaner shp, Rn= Car carrer, Rn=. 0 Roghness effecs Pressre ressance, C P Car carrer, Rn= Tanker, Rn= Tanker, Rn= Conaner shp, Rn= Conaner shp, Rn= Car carrer, Rn=. 0 9 C P /C P (h R =0).3.. C P /C P (h R =0) h R ( µm) = h Ressance and Proplson Lecre 0 h R R 73 R f / f (h R =0) Roghness effecs on he flo feld.5 Tanker, Rn= Tanker, Rn= Conaner shp, Rn= Conaner shp, Rn= Car carrer, Rn= Roghness effecs ake fracon, f.5 Car carrer, Rn= h R ( µm) f / f (h R =0) Tanker, Rn= Tanker, Rn= Conaner shp, Rn= Conaner shp, Rn=. 0 9 Car carrer, Rn= = h Ressance and Proplson Lecre 0 h R R 74 R
38 Roghness effecs Roghness effecs on he flo feld Non-dmensonal roghness hegh, h R Ressance and Proplson Lecre RANS, Eamples of Nmercal Solons Seres 60 nscd flo `h / L;Y/L;3 scos (model) `h / L;Y/L;3 scos (shp) `h / L;Y/L;3 epermens (model) `h / L;Y/L;3 / L pp = / L pp Ressance and Proplson Lecre 0 76
39 5 RANS, Eamples of Nmercal Solons Dna Tanker nscd ;Y/L;3 flo scos ;Y/L;3 (model) scos ;Y/L;3 (shp) epermens ;Y/L;3 (model) / L pp = Ressance and Proplson Lecre 0 77 RANS, Eamples of Nmercal Solons Ressance and Proplson Lecre 0 78
40 RANS, Eamples of Nmercal Solons Ressance and Proplson Lecre 0 79
Cartesian tensors. Order (rank) Scalar. Vector. 3x3 matrix
Caresan ensors Order (rank) 0 1 3 a b c d k Scalar ecor 33 mar Caresan ensors Kronecker dela δ = 1 f = 0 f Le- Ca epslon ε k = 1 f,, k are cclc 1 f,, k are ancclc 0 oherse Smmaon conenon (o eqal ncces
VI. Computational Fluid Dynamics 1. Examples of numerical simulation
VI. Comaonal Fld Dnamcs 1. Eamles of nmercal smlaon Eermenal Fas Breeder Reacor, JOYO, wh rmar of coolan sodm. Uer nner srcre Uer lenm Flow aern and emerare feld n reacor essel n flow coas down Core Hh
Outline. Review Solution Approaches. Review Basic Equations. Nature of Turbulence. Review Fluent Exercise. Turbulence Models
Trblence Models Larry areo Mechancal Engneerng 69 ompaonal Fld Dynamcs Febrary, Olne Revew las lecre Nare of rblence Reynolds-average Naver-Soes (RNS) Mng lengh heory Models sng one dfferenal eqaon Two-eqaon
Turbulence Modelling (CFD course)
Trblence Modellng (CFD corse) Sławomr Kbac slawomr.bac@mel.pw.ed.pl 14.11.016 Copyrgh 016, Sławomr Kbac Trblence Modellng Sławomr Kbac Conens 1. Reynolds-averaged Naver-Soes eqaons... 3. Closre of he modelled
SMS-618, Particle Dynamics, Fall 2003 (E. Boss, last updated: 10/8/2003) Conservation equations in fluids
SMS-68 Parcle Dnamcs Fall 3 (E. Boss las daed: /8/3) onseraon eqaons n flds onces e need: ensor (Sress) ecors (e.g. oson eloc) and scalars (e.g. S O). Prode means o descrbe conseraon las h comac noaon
by Lauren DeDieu Advisor: George Chen
b Laren DeDe Advsor: George Chen Are one of he mos powerfl mehods o nmercall solve me dependen paral dfferenal eqaons PDE wh some knd of snglar shock waves & blow-p problems. Fed nmber of mesh pons Moves
CONSISTENT EARTHQUAKE ACCELERATION AND DISPLACEMENT RECORDS
APPENDX J CONSSTENT EARTHQUAKE ACCEERATON AND DSPACEMENT RECORDS Earhqake Acceleraons can be Measred. However, Srcres are Sbjeced o Earhqake Dsplacemens J. NTRODUCTON { XE "Acceleraon Records" }A he presen
The Elastic Wave Equation. The elastic wave equation
The Elasc Wave Eqaon Elasc waves n nfne homogeneos soropc meda Nmercal smlaons for smple sorces Plane wave propagaon n nfne meda Freqency, wavenmber, wavelengh Condons a maeral dsconnes nell s Law Reflecon
Block 5 Transport of solutes in rivers
Nmeral Hydrals Blok 5 Transpor of soles n rvers Marks Holzner Conens of he orse Blok 1 The eqaons Blok Compaon of pressre srges Blok 3 Open hannel flow flow n rvers Blok 4 Nmeral solon of open hannel flow
Prediction of Wing Downwash Using CFD
Predcon of Wng Downwash Usng CFD Mohammed MAHDI* *Correspondng ahor Aeronacal Research Cener-Sdan P.O. Bo 334 momahad7@homal.com DOI:.3/66-8.5.7.. 3 rd Inernaonal Worshop on Nmercal Modellng n Aerospace
OPTIMIZATION OF A NONCONVENTIONAL ENGINE EVAPORATOR
Jornal of KONES Powerran and Transpor, Vol. 17, No. 010 OPTIMIZATION OF A NONCONVENTIONAL ENGINE EVAPORATOR Andre Kovalí, Eml Toporcer Unversy of Žlna, Facly of Mechancal Engneerng Deparmen of Aomove Technology
Solution of a diffusion problem in a non-homogeneous flow and diffusion field by the integral representation method (IRM)
Appled and ompaonal Mahemacs 4; 3: 5-6 Pblshed onlne Febrary 4 hp://www.scencepblshnggrop.com//acm do:.648/.acm.43.3 olon of a dffson problem n a non-homogeneos flow and dffson feld by he negral represenaon
Numerical simulation of flow reattachment length in a stilling basin with a step-down floor
5 h Inernaonal Symposm on Hydralc Srcres Brsbane, Asrala, 5-7 Jne 04 Hydralc Srcres and Socey: Engneerng hallenges and Eremes ISBN 97874756 - DOI: 0.464/ql.04.3 Nmercal smlaon of flow reaachmen lengh n
Stochastic Programming handling CVAR in objective and constraint
Sochasc Programmng handlng CVAR n obecve and consran Leondas Sakalaskas VU Inse of Mahemacs and Informacs Lhana ICSP XIII Jly 8-2 23 Bergamo Ialy Olne Inrodcon Lagrangan & KKT condons Mone-Carlo samplng
Improvement of Two-Equation Turbulence Model with Anisotropic Eddy-Viscosity for Hybrid Rocket Research
evenh Inernaonal onference on ompaonal Fld Dynamcs (IFD7), Bg Island, awa, Jly 9-, IFD7-9 Improvemen of Two-Eqaon Trblence Model wh Ansoropc Eddy-Vscosy for ybrd oce esearch M. Mro * and T. hmada ** orrespondng
Chapter 1 Introduction of boundary layer phenomena
Chaper 1 Inrodcon of bondary layer phenomena T-S Le Jan. 13, 018 Man Topcs Hsory of Fld Mechancs Developmen Idea of Bondary Layer Bondary Layer Eqaons 1 Fld Mechancs Developmen Hsory Ideal fld: Invscd
11/11/2017. Randal W. Samstag, MS, PE, BCEE Civil and Sanitary Engineer Bainbridge Island, WA US
//07 Randal W. Samsag MS PE BCEE Cl and Sanar Engneer Banbrdge Island WA S To gan some ndersandng of how compaonal fld dnamcs (CFD can help s o beer ndersand waer resorce recoer facles sng an open sorce
Observer Design for Nonlinear Systems using Linear Approximations
Observer Desgn for Nonlnear Ssems sng Lnear Appromaons C. Navarro Hernandez, S.P. Banks and M. Aldeen Deparmen of Aomac Conrol and Ssems Engneerng, Unvers of Sheffeld, Mappn Sree, Sheffeld S 3JD. e-mal:
Separated Turbulent Flow Simulations Using a Reynolds Stress Model and Unstructured Meshes
AIAA-5-194 AIAA 43rd Aerospace Scences Meeng & Exhb Reno, NV, Janary, 5 Separaed rblen Flo Smlaons Usng a Reynolds Sress Model and Unsrcred Meshes Emre Alpman and Lyle N. Long Deparmen of Aerospace Engneerng
Real-Time Trajectory Generation and Tracking for Cooperative Control Systems
Real-Tme Trajecor Generaon and Trackng for Cooperave Conrol Ssems Rchard Mrra Jason Hcke Calforna Inse of Technolog MURI Kckoff Meeng 14 Ma 2001 Olne I. Revew of prevos work n rajecor generaon and rackng
8. TURBULENCE MODELLING IN CFD SPRING 2007
8. TRBLENE MODELLING IN FD SRING 7 8. Trblence model for general-prpoe FD 8. Lnear edd-vco model 8. Non-lnear edd-vco model 8.4 Dfferenal re model 8.5 Implemenaon of rblence model n FD 8. Trblence Model
CFD MODELING FOR HELIUM RELEASES IN A PRIVATE GARAGE WITHOUT FORCED VENTILATION
CFD MODELING FOR HELIUM RELEASES IN A PRIVATE GARAGE WITHOUT FORCED VENTILATION Papankolao, E.A. 1 and Venesanos, A.G. 1 1 Envronmenal Research Laboraory, NCSR Demokros, Agha Paraskev, Aks, 15310, Greece,
11/11/2017. Randal W. Samstag, MS, PE, BCEE Civil and Sanitary Engineer Bainbridge Island, WA US
11/11/017 Randal W. Samsag, MS, PE, BCEE Cl and Sanary Engneer Banbrdge Island, WA S To gan some ndersandng of how compaonal fld dynamcs (CFD) can help s o beer ndersand waer resorce recoery facles sng
CFD Analysis of Aerodynamic Drag Effects on Vacuum Tube Trains
Jornal of Appled Fld Mechancs, ol. 1, No. 1, pp. 303-309, 019. Aalable onlne a.afmonlne.ne, ISSN 1735-357, EISSN 1735-3645. DOI: 10.95/afm.75.53.9091 CFD Analss of Aerodnamc Drag Effecs on acm Tbe Trans
Chapters 2 Kinematics. Position, Distance, Displacement
Chapers Knemacs Poson, Dsance, Dsplacemen Mechancs: Knemacs and Dynamcs. Knemacs deals wh moon, bu s no concerned wh he cause o moon. Dynamcs deals wh he relaonshp beween orce and moon. The word dsplacemen
PHYS 1443 Section 001 Lecture #4
PHYS 1443 Secon 001 Lecure #4 Monda, June 5, 006 Moon n Two Dmensons Moon under consan acceleraon Projecle Moon Mamum ranges and heghs Reerence Frames and relae moon Newon s Laws o Moon Force Newon s Law
ME 425: Aerodynamics
ME 45: Aerodnamics Dr. A.B.M. Toiqe Hasan Proessor Deparmen o Mechanical Engineering Bangladesh Uniersi o Engineering & Technolog BUET, Dhaka Lecre-7 Fndamenals so Aerodnamics oiqehasan.be.ac.bd oiqehasan@me.be.ac.bd
PECULIARITIES OF THE LIQUID CARGO DYNAMICS MODELING FOR THE CASE OF ROAD TANK TRANSIENT MOVEMENT MODES
8 h GRAM Inernaonal ongress on omaonal Mechancs Volos, Jl 5 Jl 05 PEULIARIIES O HE LIQUID ARGO DYNAMIS MODELING OR HE ASE O ROAD ANK RANSIEN MOVEMEN MODES Marna G. Knasoa, Aleandr O. Shmanos and Alžbea
Numerical Simulation on Wind Flow over Step-shaped Cliff Topography with Rough Surface
In. J. Envron. Res., 7(1):173-186, Wner 013 ISSN: 1735-6865 Nmercal Smlaon on Wnd Flow over Sep-shaped Clff Topography wh Rogh Srface Yassn, M.F. 1,* and Al-Harb, M. 1 1 Deparmen of Envronmenal Technology
ME 425: Aerodynamics
3/4/18 ME 45: Aerodnamics Dr. A.B.M. Toiqe Hasan Proessor Deparmen o Mechanical Engineering Bangladesh Uniersi o Engineering & Technolog BUET Dhaka Lecre-6 3/4/18 Fndamenals so Aerodnamics eacher.be.ac.bd/oiqehasan/
Linear Strain Triangle and other types of 2D elements. By S. Ziaei Rad
Linear Strain Triangle and other tpes o D elements B S. Ziaei Rad Linear Strain Triangle (LST or T6 This element is also called qadratic trianglar element. Qadratic Trianglar Element Linear Strain Triangle
CHAPTER 10: LINEAR DISCRIMINATION
CHAPER : LINEAR DISCRIMINAION Dscrmnan-based Classfcaon 3 In classfcaon h K classes (C,C,, C k ) We defned dscrmnan funcon g j (), j=,,,k hen gven an es eample, e chose (predced) s class label as C f g
, t 1. Transitions - this one was easy, but in general the hardest part is choosing the which variables are state and control variables
Opmal Conrol Why Use I - verss calcls of varaons, opmal conrol More generaly More convenen wh consrans (e.g., can p consrans on he dervaves More nsghs no problem (a leas more apparen han hrogh calcls of
ME 321: FLUID MECHANICS-I
8/7/18 ME 31: FLUID MECHANICS-I Dr. A.B.M. Toiqe Hasan Proessor Dearmen o Mechanical Engineering Bangladesh Uniersi o Engineering & Technolog BUET, Dhaka Lecre-13 8/7/18 Dierenial Analsis o Flid Moion
Modelling of test case particle-laden jet with NEPTUNE_CFD
Modelln of es case arcle-laden e wh NEPTNE_CFD H. D. Le 1 J-M. Lacome 1 A. Vnes 1 B. Debray 1 B. Trcho 1 P. Fede 3 E. Clmen 3 1 INERIS Parc echnoloe ALATA B.P. FR-60550 Vernel-en-Halae nversé de Tolose
Notes on the stability of dynamic systems and the use of Eigen Values.
Noes on he sabl of dnamc ssems and he use of Egen Values. Source: Macro II course noes, Dr. Davd Bessler s Tme Seres course noes, zarads (999) Ineremporal Macroeconomcs chaper 4 & Techncal ppend, and Hamlon
2/20/2013. EE 101 Midterm 2 Review
//3 EE Mderm eew //3 Volage-mplfer Model The npu ressance s he equalen ressance see when lookng no he npu ermnals of he amplfer. o s he oupu ressance. I causes he oupu olage o decrease as he load ressance
Lecture 9: Dynamic Properties
Shor Course on Molecular Dynamcs Smulaon Lecure 9: Dynamc Properes Professor A. Marn Purdue Unversy Hgh Level Course Oulne 1. MD Bascs. Poenal Energy Funcons 3. Inegraon Algorhms 4. Temperaure Conrol 5.
Research Article Cubic B-spline for the Numerical Solution of Parabolic Integro-differential Equation with a Weakly Singular Kernel
Researc Jornal of Appled Scences, Engneerng and Tecnology 7(): 65-7, 4 DOI:.96/afs.7.5 ISS: 4-7459; e-iss: 4-7467 4 Mawell Scenfc Pblcaon Corp. Sbmed: Jne 8, Acceped: Jly 9, Pblsed: Marc 5, 4 Researc Arcle
Numerical solution of RANS equations. Numerical solution of RANS equations
Convection linearization - Newton (Quasi-Newton) - Picard Discretization - Finite-differences - Finite-volume - Galerkin (Finite-elements,...) Solution of the algebraic systems of equations - Segregated
Module 6. Lecture 2: Navier-Stokes and Saint Venant equations
Modle 6 Lectre : Naer-Stokes and Sant Venant eqatons Modle 6 Naer-Stokes Eqatons Clade-Los Naer Sr George Gabrel Stokes St.Venant eqatons are dered from Naer-Stokes Eqatons for shallo ater flo condtons.
2.1 Constitutive Theory
Secon.. Consuve Theory.. Consuve Equaons Governng Equaons The equaons governng he behavour of maerals are (n he spaal form) dρ v & ρ + ρdv v = + ρ = Conservaon of Mass (..a) d x σ j dv dvσ + b = ρ v& +
NATIONAL UNIVERSITY OF SINGAPORE PC5202 ADVANCED STATISTICAL MECHANICS. (Semester II: AY ) Time Allowed: 2 Hours
NATONAL UNVERSTY OF SNGAPORE PC5 ADVANCED STATSTCAL MECHANCS (Semeser : AY 1-13) Tme Allowed: Hours NSTRUCTONS TO CANDDATES 1. Ths examnaon paper conans 5 quesons and comprses 4 prned pages.. Answer all
Turbulence Closure Schemes
/5/5 Trblene n Flds Trblene Closre Shemes Beno Cshman-Rosn Thayer Shool of Engneerng Darmoh College Reall: Eqaons governng he Reynolds sresses and rblen hea fl Problem srfaes! When wrng he eqaons governng
Material Point Method Investigations of Trauma to Fluids and Elastic Solids Due to Finite Barriers
Maeral Pon Mehod Inesgaons of Trama o Flds and Elasc Solds De o Fne Barrers J.L. Dean Dearmen of Aeronacal Engneerng Iowa Sae Uners Ames, Iowa 54 USA M.W. Roh Dearmen of Phscs Uners of Norhern Iowa Cedar
ON THE ACCURACY OF NUMERICAL PREDICTION IN TRANSONIC-SUPERSONIC FLOW ARROUND MISSILES
U.P.B. Sc. Bll., Seres D, Vol. 7, Iss. 3, ISSN 454-358 ON THE ACCURACY OF NUMERICAL PREDICTION IN TRANSONIC-SUPERSONIC FLOW ARROUND MISSILES Crsna MIHAILESCU, Teodor Vorel CHELARU, Seran DANAILA 3, Cornel
Wronskian Determinant Solutions for the (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation
Jornal of Appled Mahemacs and Physcs 0 8-4 Pblshed Onlne ovember 0 (hp://www.scrp.org/jornal/jamp) hp://d.do.org/0.46/jamp.0.5004 Wronskan Deermnan Solons for he ( + )-Dmensonal Bo-Leon-Manna-Pempnell
Multi-Fuel and Mixed-Mode IC Engine Combustion Simulation with a Detailed Chemistry Based Progress Variable Library Approach
Mul-Fuel and Med-Mode IC Engne Combuson Smulaon wh a Dealed Chemsry Based Progress Varable Lbrary Approach Conens Inroducon Approach Resuls Conclusons 2 Inroducon New Combuson Model- PVM-MF New Legslaons
NUMERICAL SOLUTIONS TO ORDINARY DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTIONS TO ORDINARY DIFFERENTIAL EQUATIONS If e eqao coas dervaves of a - order s sad o be a - order dffereal eqao. For eample a secod-order eqao descrbg e oscllao of a weg aced po b a sprg
Modelling of Diffusion Process in Porous Bricks
hp://www.aras.org/aras/ornals/mcm Modellng of Dffson Process n Poros Brcs KRNIATI ORNAM, MASYKR KIMSAN, LA ODE NGKOIMANI 3, EDI CAHYONO 4 Deparmen of Archecre, Hal Oleo nversy, Jl.H.E.A Moodomp Kamps Ha
Displacement, Velocity, and Acceleration. (WHERE and WHEN?)
Dsplacemen, Velocy, and Acceleraon (WHERE and WHEN?) Mah resources Append A n your book! Symbols and meanng Algebra Geomery (olumes, ec.) Trgonomery Append A Logarhms Remnder You wll do well n hs class
Dynamic Model of the Axially Moving Viscoelastic Belt System with Tensioner Pulley Yanqi Liu1, a, Hongyu Wang2, b, Dongxing Cao3, c, Xiaoling Gai1, d
Inernaonal Indsral Informacs and Comper Engneerng Conference (IIICEC 5) Dynamc Model of he Aally Movng Vscoelasc Bel Sysem wh Tensoner Plley Yanq L, a, Hongy Wang, b, Dongng Cao, c, Xaolng Ga, d Bejng
Variational formulation of sandpile dynamics
PHYSICAL REVIEW E VOLUME 53, NUMBER 5 MAY 1996 Varaonal formlaon of sandple dynamcs T. Elpern * and A. Vkhansky The Pearlsone Cener for Aeronacal Engneerng Sdes, Deparmen of Mechancal Engneerng, Ben-Gron
Comparison between two solar tower receivers of different geometry
Reve des Energes Renovelables Vol. 20 N 4 (2017) 713-720 Comparson beween wo solar ower recevers of dfferen geomery M. Hazmone 1.2 *, B. Aor 2, M.M. Hada 1 and A. Male 1 1 Cenre de Développemen des Energes
Motion in Two Dimensions
Phys 1 Chaper 4 Moon n Two Dmensons adzyubenko@csub.edu hp://www.csub.edu/~adzyubenko 005, 014 A. Dzyubenko 004 Brooks/Cole 1 Dsplacemen as a Vecor The poson of an objec s descrbed by s poson ecor, r The
Introduction to Turbulence Modelling
Introdcton to Trblence Modellng 1 Nmercal methods 0 1 t Mathematcal descrpton p F Reslts For eample speed, pressre, temperatre Geometry Models for trblence, combston etc. Mathematcal descrpton of physcal
Fundamentals of Flame Stabilities. Fundamentals of Flame Stabilities Lecture Notes 3
ecre Noes 3 Hong G. Im Assocae Professor Deparmen of Mecancal Engneerng Unvers of Mcgan Ann Arbor Mcgan UA gm@mc.ed Prepared for specal lecres a Unversà degl d d Roma a apena Facolà d Ingegnera Aerospaale
10. A.C CIRCUITS. Theoretically current grows to maximum value after infinite time. But practically it grows to maximum after 5τ. Decay of current :
. A. IUITS Synopss : GOWTH OF UNT IN IUIT : d. When swch S s closed a =; = d. A me, curren = e 3. The consan / has dmensons of me and s called he nducve me consan ( τ ) of he crcu. 4. = τ; =.63, n one
Wall treatment in Large Eddy Simulation
Wall treatment in arge Edd Simlation David Monfort Sofiane Benhamadoche (ED R&D) Pierre Sagat (Université Pierre et Marie Crie) 9 novembre 007 Code_Satrne User Meeting Wall treatment in arge Edd Simlation
Solving Parabolic Partial Delay Differential. Equations Using The Explicit Method And Higher. Order Differences
Jornal of Kfa for Maemacs and Compe Vol. No.7 Dec pp 77-5 Solvng Parabolc Paral Delay Dfferenal Eqaons Usng e Eplc Meod And Hger Order Dfferences Asss. Prof. Amal Kalaf Haydar Kfa Unversy College of Edcaon
EFFECT OF HEAT FLUX RATIO FROM BOTH SIDE-WALLS ON THERMAL- FLUID FLOW IN CHANNEL
8h AIAA/ASME Jon Thermophyscs and Hea Transfer Conference 4-6 June 00, S. Lous, Mssour AIAA-00-873 00-873 EFFECT OF HEAT FLUX RATIO FROM BOTH SIDE-WALLS ON THERMAL- FLUID FLOW IN CHANNEL SHUICHI TORII
Linear Response Theory: The connection between QFT and experiments
Phys540.nb 39 3 Lnear Response Theory: The connecon beween QFT and expermens 3.1. Basc conceps and deas Q: ow do we measure he conducvy of a meal? A: we frs nroduce a weak elecrc feld E, and hen measure
C PLANE ELASTICITY PROBLEM FORMULATIONS
C M.. Tamn, CSMLab, UTM Corse Content: A ITRODUCTIO AD OVERVIEW mercal method and Compter-Aded Engneerng; Phscal problems; Mathematcal models; Fnte element method. B REVIEW OF -D FORMULATIOS Elements and
TRANSIENTS. Lecture 5 ELEC-E8409 High Voltage Engineering
TRANSIENTS Lece 5 ELECE8409 Hgh Volage Engneeng TRANSIENT VOLTAGES A ansen even s a sholved oscllaon (sgnfcanly fase han opeang feqency) n a sysem cased by a sdden change of volage, cen o load. Tansen
Solution in semi infinite diffusion couples (error function analysis)
Soluon n sem nfne dffuson couples (error funcon analyss) Le us consder now he sem nfne dffuson couple of wo blocks wh concenraon of and I means ha, n a A- bnary sysem, s bondng beween wo blocks made of
Reduction of over-determined systems of differential equations
Redction of oer-determined systems of differential eqations Maim Zaytse 1) 1, ) and Vyachesla Akkerman 1) Nclear Safety Institte, Rssian Academy of Sciences, Moscow, 115191 Rssia ) Department of Mechanical
Turbulent Flow. Turbulent Flow
http://www.youtube.com/watch?v=xoll2kedog&feature=related http://br.youtube.com/watch?v=7kkftgx2any http://br.youtube.com/watch?v=vqhxihpvcvu 1. Caothc fluctuatons wth a wde range of frequences and
CH.3. COMPATIBILITY EQUATIONS. Continuum Mechanics Course (MMC) - ETSECCPB - UPC
CH.3. COMPATIBILITY EQUATIONS Connuum Mechancs Course (MMC) - ETSECCPB - UPC Overvew Compably Condons Compably Equaons of a Poenal Vecor Feld Compably Condons for Infnesmal Srans Inegraon of he Infnesmal
A comparison of Lagrangian dispersion models coupled to a meteorological model for high stack air pollution forecast
Ar Pollon X C.A. Brebba J.F. Marín-Dqe eds. WIT Press A comparson of Lagrangan dsperson models copled o a meeorologcal model for hgh sack ar pollon forecas E. Penabad V. Pere-Mñr J.A. Soo J.J. Casares
CFD Modelling of Indoor Air Quality and Thermal Comfort
Proceedings of he nd IASME / WSEAS Inernaional Conference on Coninm Mechanics (CM'07), Pororo, Sloenia, Ma 5-7, 007 CFD Modelling of Indoor Air Qali and Thermal Comfor LÁSZLÓ KAJTÁR ANITA LEITNER Dearmen
A NEW TECHNIQUE FOR SOLVING THE 1-D BURGERS EQUATION
S19 A NEW TECHNIQUE FOR SOLVING THE 1-D BURGERS EQUATION by Xaojun YANG a,b, Yugu YANG a*, Carlo CATTANI c, and Mngzheng ZHU b a Sae Key Laboraory for Geomechancs and Deep Underground Engneerng, Chna Unversy
[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5
![[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5](/thumbs/85/92299540.jpg "[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5")
TPG460 Reservor Smulaon 08 page of 5 DISCRETIZATIO OF THE FOW EQUATIOS As we already have seen, fne dfference appromaons of he paral dervaves appearng n he flow equaons may be obaned from Taylor seres
Chapter 2. Review of Hydrodynamics and Vector Analysis
her. Ree o Hdrodmcs d Vecor Alss. Tlor seres L L L L ' ' L L " " " M L L! " ' L " ' I s o he c e romed he Tlor seres. O he oher hd ' " L . osero o mss -dreco: L L IN ] OUT [mss l [mss l] mss ccmled h me
Atmospheric Dynamics 11:670:324. Class Time: Tuesdays and Fridays 9:15-10:35
Amospheric Dnamics 11:67:324 Class ime: esdas and Fridas 9:15-1:35 Insrcors: Dr. Anhon J. Broccoli (ENR 229 broccoli@ensci.rgers.ed 848-932-5749 Dr. Benjamin Linner (ENR 25 linner@ensci.rgers.ed 848-932-5731
Sound Transmission Throough Lined, Composite Panel Structures: Transversely Isotropic Poro- Elastic Model
Prde nvery Prde e-pb Pblcaon of he Ray. Herrc aboraore School of Mechancal Engneerng 8-5 Sond Tranmon Throogh ned, Comoe Panel Srcre: Tranverely Ioroc Poro- Elac Model J Sar Bolon Prde nvery, bolon@rde.ed
Different kind of oscillation
PhO 98 Theorecal Qeson.Elecrcy Problem (8 pons) Deren knd o oscllaon e s consder he elecrc crc n he gre, or whch mh, mh, nf, nf and kω. The swch K beng closed he crc s copled wh a sorce o alernang crren.
Introduction to. Computer Animation
Inroducon o 1 Movaon Anmaon from anma (la.) = soul, spr, breah of lfe Brng mages o lfe! Examples Characer anmaon (humans, anmals) Secondary moon (har, cloh) Physcal world (rgd bodes, waer, fre) 2 2 Anmaon
Chapter Lagrangian Interpolation
Chaper 5.4 agrangan Inerpolaon Afer readng hs chaper you should be able o:. dere agrangan mehod of nerpolaon. sole problems usng agrangan mehod of nerpolaon and. use agrangan nerpolans o fnd deraes and
Comprehensive Integrated Simulation and Optimization of LPP for EUV Lithography Devices
Comprehense Inegraed Smulaon and Opmaon of LPP for EUV Lhograph Deces A. Hassanen V. Su V. Moroo T. Su B. Rce (Inel) Fourh Inernaonal EUVL Smposum San Dego CA Noember 7-9 2005 Argonne Naonal Laboraor Offce
XIII International PhD Workshop OWD 2011, October Three Phase DC/DC Boost Converter With High Energy Efficiency
X nernaonal Ph Workshop OW, Ocober Three Phase C/C Boos Converer Wh Hgh Energy Effcency Ján Perdľak, Techncal nversy of Košce Absrac Ths paper presens a novel opology of mlphase boos converer wh hgh energy
J i-1 i. J i i+1. Numerical integration of the diffusion equation (I) Finite difference method. Spatial Discretization. Internal nodes.
umercal negraon of he dffuson equaon (I) Fne dfference mehod. Spaal screaon. Inernal nodes. R L V For hermal conducon le s dscree he spaal doman no small fne spans, =,,: Balance of parcles for an nernal
THE PREDICTION OF COMPETITIVE ENVIRONMENT IN BUSINESS
THE PREICTION OF COMPETITIVE ENVIRONMENT IN BUSINESS INTROUCTION The wo dmensonal paral dfferenal equaons of second order can be used for he smulaon of compeve envronmen n busness The arcle presens he
CS434a/541a: Pattern Recognition Prof. Olga Veksler. Lecture 4
CS434a/54a: Paern Recognon Prof. Olga Veksler Lecure 4 Oulne Normal Random Varable Properes Dscrmnan funcons Why Normal Random Varables? Analycally racable Works well when observaon comes form a corruped
Chapter 6 Momentum Transfer in an External Laminar Boundary Layer
6. Similarit Soltions Chapter 6 Momentm Transfer in an Eternal Laminar Bondar Laer Consider a laminar incompressible bondar laer with constant properties. Assme the flow is stead and two-dimensional aligned
Model-Based FDI : the control approach
Model-Baed FDI : he conrol approach M. Saroweck LAIL-CNRS EUDIL, Unver Llle I Olne of he preenaon Par I : model Sem, normal and no normal condon, fal Par II : he decon problem problem eng noe, drbance,
Physics Notes - Ch. 2 Motion in One Dimension
Physics Noes - Ch. Moion in One Dimension I. The naure o physical quaniies: scalars and ecors A. Scalar quaniy ha describes only magniude (how much), NOT including direcion; e. mass, emperaure, ime, olume,
John Geweke a and Gianni Amisano b a Departments of Economics and Statistics, University of Iowa, USA b European Central Bank, Frankfurt, Germany
Herarchcal Markov Normal Mxure models wh Applcaons o Fnancal Asse Reurns Appendx: Proofs of Theorems and Condonal Poseror Dsrbuons John Geweke a and Gann Amsano b a Deparmens of Economcs and Sascs, Unversy
ESTIMATION OF HYDRAULIC JUMP LOCATION USING NUMERICAL SIMULATION
Twel Inernaonal Waer Tecnology Conerence, IWTC 8, Aleandra, gyp STIMATION OF HYDRAULIC JUMP LOCATION USING NUMRICAL SIMULATION M. T. Samaa,, M. Hasem and H. M. Karr, Cvl ngneerng Deparmen, Facly o ngneerng,
FAIPA_SAND: An Interior Point Algorithm for Simultaneous ANalysis and Design Optimization
FAIPA_AN: An Ineror Pon Algorhm for mlaneos ANalyss an esgn Opmzaon osé Hersos*, Palo Mappa* an onel llen** *COPPE / Feeral Unersy of Ro e anero, Mechancal Engneerng Program, Caa Posal 6853, 945 97 Ro
AN A(α)-STABLE METHOD FOR SOLVING INITIAL VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS
Advances n Derenal Eqaons and Conrol Processes 4 Pshpa Pblshng Hose, Allahabad, Inda Avalable onlne a hp://pphm.com/ornals/adecp.hm Volme, Nmber, 4, Pages AN A(α)-STABLE METHOD FOR SOLVING INITIAL VALUE
I-POLYA PROCESS AND APPLICATIONS Leda D. Minkova
The XIII Inenaonal Confeence Appled Sochasc Models and Daa Analyss (ASMDA-009) Jne 30-Jly 3, 009, Vlns, LITHUANIA ISBN 978-9955-8-463-5 L Sakalaskas, C Skadas and E K Zavadskas (Eds): ASMDA-009 Seleced
On One Analytic Method of. Constructing Program Controls
Appled Mahemacal Scences, Vol. 9, 05, no. 8, 409-407 HIKARI Ld, www.m-hkar.com hp://dx.do.org/0.988/ams.05.54349 On One Analyc Mehod of Consrucng Program Conrols A. N. Kvko, S. V. Chsyakov and Yu. E. Balyna
Coupled Method for Solving Time-Fractional Navier-Stokes Equation
INTERNATIONAL JOURNAL OF CIRCUITS, SYSTEMS AND SIGNAL PROCESSING Volume, 8 Coupled Mehod for Solng Tme-Fraconal Naer-Sokes Equaon S. O. Edek, and G. O. Aknlab Absrac Ths paper wnesses he couplng of wo
Validity and Inherent Viscosity of the Quiet Direct Simulation Method
Valdy and Inheren Vscosy of he Qe Drec Slaon Mehod M.C. ery a, C.-W. L a,b and H.M. Cae c a Deparen of Mechancal Engneerng, Unersy of Canerbry Prae Bag 48, Chrschrch 84, Ne Zealand ark.ery@canerbry.ac.nz
Learning from a Golf Ball
Session 1566 Learning from a Golf Ball Alireza Mohammadzadeh Padnos School of Engineering Grand Valley Sae Uniersiy Oeriew Projecile moion of objecs, in he absence of air fricion, is sdied in dynamics
Mechanics Physics 151
Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm H ( q, p, ) = q p L( q, q, ) H p = q H q = p H = L Equvalen o Lagrangan formalsm Smpler, bu
UNIT 1 ONE-DIMENSIONAL MOTION GRAPHING AND MATHEMATICAL MODELING. Objectives
UNIT 1 ONE-DIMENSIONAL MOTION GRAPHING AND MATHEMATICAL MODELING Objeces To learn abou hree ways ha a physcs can descrbe moon along a sragh lne words, graphs, and mahemacal modelng. To acqure an nue undersandng
Mechanics Physics 151
Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm Hqp (,,) = qp Lqq (,,) H p = q H q = p H L = Equvalen o Lagrangan formalsm Smpler, bu wce as
Chapter 6: AC Circuits
Chaper 6: AC Crcus Chaper 6: Oulne Phasors and he AC Seady Sae AC Crcus A sable, lnear crcu operang n he seady sae wh snusodal excaon (.e., snusodal seady sae. Complee response forced response naural response.
Simulation of Wind driven currents for continental shelf of Golestan Province (Iran)
Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: 5 35 Smlaon of Wnd drven crren for connenal helf of Golean Provnce Iran Saeed Sharba Facl Member Dep. of fher Grogan Unver of Agrclral