The Two Dimensional Numerical Modeling Of Acoustic Wave Propagation in Shallow Water
|
|
- Melvyn Franklin
- 5 years ago
- Views:
Transcription
1 The Two Densonal Nueal Modelng Of Aous Wave Poagaon n Shallow Wae Ahad Zaaa John Penose Fan Thoas and Xung Wang Cene fo Mane Sene and Tehnology Cun Unvesy of Tehnology. CSIRO Peoleu. Absa Ths ae desbes ogess on a wo densonal nueal sulaon of aous wave oagaon ha has been develoed o vsuale he oagaon of aous wave fons and o ovde e-doan sgnal eesenaon n shallow wae. I s nended ha an eenson of he wo esened hee o aoun fo hee-densonal effes wll lae be oaed wh feld esuls. The nueal sulaon of shallow wae aous oagaon has gven se o a wde vaey of odelng ehnques wh vaous degees of auay. One ehnque nvolvng fne dffeene ehods s oe oonly used n he deson of ses oagaon bu also ous n he shallow wae oagaon leaue. Ths wod eoed hee nvolves he alaon of fne dffeene ehnques o odel oagaon n he e doan ogehe wh assoaed ode o allow wave fon vsualaon. Inoduon Many eseahes have develoed nueal neeaons of he wave equaons sued o aous and ses oagaon (Alfod Kelly and Booe 974; Kelly Wad Sven Teel and Alfod 976; Cean Kosloff and Reshef 985; Wllas Rehen Andeson 996; Wu Lnes and Lu 996 Keswee Bla and Shessne 996; Alesev Mhaleno 999). The nueal odelng of ses daa has been used o suo neeaons of feld daa o ovde synhe daa fo esng oessng ehnques and aquson aaees and o enhane sesologss undesandng of wave oagaon (Keswee Bla and Shessne 996). Fo hese alaons fne-dffeene ehods have ofen been used. Ths eo es he wave equaons sued o waves n fluds aous waves and wave n solds suh ha boh shea and oessonal defoaons ae aouned fo ae eed elas waves. Mos ses odelng neessaly uses he elas wave equaons. (Kelly Wad Sven Teel and Alfod 976) bu he aous wave equaons have also been used fo geohysal odelng ehnques (Alfod Kelly and Booe 974). The elas wave equaons ae needed o fully aoun fo wave oagaon n he seabed bu an aous wave aoaon s ofen used fo seabed sedens when shea veloes ae low. Ths ae eos on ogess n develong a oue oga whh deals wh he wodensonal nueal odelng of aous wave oagaon n shallow wae. Key feaues of he odel a esen ae: () () () Theoy The use of aous wave equaon Te doan odellng A oason of he use of nd and 4 h ode auay Aous wave equaon A wo-densonal aous wave equaon an be found usng Eule s equaon and he equaon of onnuy (Behovsh 960). v u 0 Connuy () u v 0 Eule () Aouss 000
2 Aouss 000 Whee u s he ale veloy s he aous essue s he densy and s he veloy of he aous wave n he aous eda. Subsuon of he dvegene of he Eule equaon and he e devave of he equaon of onnuy yeld f δ v v (3) f δ (4) Whee δ s he Da dela funon assoaed wh he oson of he soue n sae and f s he soue funon. Fo hoogenous eda he aous wave equaons an be slfed as follows f δ (5) Fne-dffeene soluon Aous wave equaon Fne-dffeene ehods an be aled o he sala aous wave equaon. The seond e devave and fs saal devave of he wave equaon an be aoaed usng a seond ode enal dffeene aoaon as follows. (6) (7) (8) Whee ± ± ± ± An aous wave equaon fo hoogenous eda an be aoaed n eangula oodnaes syse by he seond-ode and fouh-ode enal dffeene (Alfod Kelly Booe 974; Wang Pesonal Counaon 000) as follows (9) Whee h s he gd se n he and deons esevely and s he e se. Anohe alenae eesson fo hghe auay uses he fouh-ode enal dffeene shee of he aous wave equaon. I s oe auae han seond-ode enal dffeene shee (0) Whee: h A fne-dffeene shee wll be sable f / fo equaon (9) and 8 / 3 fo equaon (0) (Alfod e. al. 974) Bounday ondons Whee ansaen bounday ondons ae nvolved we use he ehod due o Reynolds (978). Tansaen bounday ondon Lef sde bounday 3 ()
3 Rgh sde bounday n n ( ( ) n n n n n n () Sufae sde bounday ( ( ) Boo sde bounday 3 ( ( ) Nonefleng bounday ondon (3) (4) Fgue.a: ( nd ode) We ae a esen nvesgang he aoah due o Cean e al. (985) whh ay be suased as follows The essue aludes ousde he bounday lnes us be ulled by G fao (Cean e.al.985). { [ 0.05( 0 ) ] } G EXP (5) Fgue.b: (4 h ode) Whee: 0 Ths gves a value of fo 0 o a he neaes boundaes wh bounday lnes and a value of abou /50 fo o a he oue boundaes. Soue funon As he soue funon f() a sngle yle snusod was used. Fgue.a: ( nd ode) Resuls We esen hee soe of he esuls of he nueal odelng osng a oason beween he fnedffeene esuls fo seond ode (7) and fouh ode aoaons (0) usng he ansaen bounday ondon. The wave fon esuls ae also oaed wh soe ognal esuls fo elaed aous wave sulaon wo ha has been develoed by Wang. Fgue.b: (4 h ode) Aouss 000 3
4 Fgue 3: 5 se ( nd ode) Fgue 5.b: 85 se (4 h ode) Fgue 4.a: 50 se ( nd ode) Fgue 6.a: 50 se (Wang) Fgue 6.b: 60 se (Wang) Fgue 4.b: 50 se (4 h ode) Fgue 5.a: 85se ( nd ode) Fgue.a b a and.b. show wave fon sulaon esuls n a hoogeneous sae eesened usng 0 0 gd ons wh 500 /s 05 3 /g 0.05se wh a sngle snusod sgnal of soue alude A and fequeny (f) 00H. Soe efleons ae obseved. Fgue 3 shows he soue oson used n he sulaons eesened n fgues 4 and 5. Fgues 4.a 4.b 5.a and 5.b show he esuls usng 00 gd ons n a wo-laye envonen. Veloy and densy n he ue and lowe layes ae 4000 /s /g and 6000 /s 800 /s esevely. Hee se wh soue alude A and fequeny (f) 400H. Fgues 6.a and 6.b show aous wave fon sulaon esuls usng 5 5 gd ons due o Wang. The aous veloes n ue and 4 Aouss 000
5 lowe layes ae 4000/s and 6000/s esevely bu wh onsan densy houghou. Fgues 4.a 5.b show evdene of dseson esenly abued o gd se effes. The effes of nolee bounday ansaeny ae sll aaen. The 4 h ode esuls show soewha less dseson han hose asng fo he nd ode ouaons. The esuls also an be oaed wh Wang s esuls n fgues 6.a. and 6.b..In all ases de efleed efaed and head waves ae obseved. Alude sgnals fo eeves fo he hoogeneous eda ase of fgues and ae shown as follows Fgue C.: oo C. Fgue C.: A oson S55;R5 Fgue D.: Zoo D. Fgue D: A oson S55;R530 Fgue E.: Zoo E. Fgues C. C. D. D. E. E. show n he e doan he nfluenes of dsesed waves and ansaen boundaes. Fgue E.: A oson S55; R50 The ange deendene of aous essue s shown n fgue F. Ths shows he aveage of he aludes of he nal osve and negave essue eusons P Aouss 000 5
6 as a funon of ange. The elaonsh P() ay be eessed by equaon (6) P a. b (6) Cuve fng yelds a b and assoaed oelaon oeffen as shown n he able Ode a b R nd h Aveage Table.: Coeffens a and b Coeffen b s lose o he 0.5 value eeed fo ylndal seadng. Conlusons We have develoed -D aous fne-dffeene odes fo seond ode n e and seond o fouh ode n sae o odel aous wave oagaon n heeogenous eda. We have esened a oason beween wave fons develoed usng nd ode and 4 h ode aoaons o he aous wave equaons shown dsesed wave obles and aal ansaen bounday effes. The aous odelng shows he eeed de efleed and efaed and head waves aens n a wo-laye sae. Refeenes Alfod R. M. Kelly K. R. and Booe D. M. 974 Auay of fne-dffeene odelng of aous wave oagaon: Geohyss v. 39 no Kelly K. R. Wad R. W. Sven Teel and Alfod R. M. 976 Synhe Sesogas: A fne-dffeene Aoah: Geohyss v. 4 no..-7. Reynold A. C. 978 Bounday ondons fo he nueal soluon of wave oagaon obles: Geohyss v Wllas R. S. Rehen Rhad D. and Andeson Nel L. 996 The one-densonal elas wave equaon: A fne-dffeene foulaon fo anaed oue alaons o full wavefo oagaon: Coues & Geosenes v. no Cean C. Kosloff D. Kosloff R. and Reshef M A nonefleng bounday ondon fo dsee aous and elas wave equaons: Geogyss v. 50 no Behovsh L. M. 960 Waves n layeed eda: Aade Pess New Yo.7. 6 Aouss 000
Silence is the only homogeneous sound field in unbounded space
Cha.5 Soues of Sound Slene s he onl homogeneous sound feld n unbounded sae Sound feld wh no boundaes and no nomng feld 3- d wave equaon whh sasfes he adaon ondon s f / Wh he lose nseon a he on of = he
More informationcalculating electromagnetic
Theoeal mehods fo alulang eleomagne felds fom lghnng dshage ajeev Thoapplll oyal Insue of Tehnology KTH Sweden ajeev.thoapplll@ee.kh.se Oulne Despon of he poblem Thee dffeen mehods fo feld alulaons - Dpole
More informationElectromagnetic waves in vacuum.
leromagne waves n vauum. The dsovery of dsplaemen urrens enals a peular lass of soluons of Maxwell equaons: ravellng waves of eler and magne felds n vauum. In he absene of urrens and harges, he equaons
More information5-1. We apply Newton s second law (specifically, Eq. 5-2). F = ma = ma sin 20.0 = 1.0 kg 2.00 m/s sin 20.0 = 0.684N. ( ) ( )
5-1. We apply Newon s second law (specfcally, Eq. 5-). (a) We fnd he componen of he foce s ( ) ( ) F = ma = ma cos 0.0 = 1.00kg.00m/s cos 0.0 = 1.88N. (b) The y componen of he foce s ( ) ( ) F = ma = ma
More informationCOMPUTER SCIENCE 349A SAMPLE EXAM QUESTIONS WITH SOLUTIONS PARTS 1, 2
COMPUTE SCIENCE 49A SAMPLE EXAM QUESTIONS WITH SOLUTIONS PATS, PAT.. a Dene he erm ll-ondoned problem. b Gve an eample o a polynomal ha has ll-ondoned zeros.. Consder evaluaon o anh, where e e anh. e e
More informationMATHEMATICAL MODEL OF THE DUMMY NECK INCLUDED IN A FRONTAL IMPACT TESTING SYSTEM
he h Inenaonal onfeene Advaned opose Maeals Enneen OMA 8- Oobe Basov Roana MAHEMAIAL MODEL O HE DUMMY NEK INLUDED IN A RONAL IMPA ESIN SYSEM unel Sefana Popa Daos-Lauenu apan Vasle Unves of aova aova ROMANIA
More informationSome Analytic Results for the Study of Broadband Noise Radiation from Wings, Propellers and Jets in Uniform Motion *
Some Analy Resuls fo he Suy of Boaban Nose Raaon fom Wngs Poelles an Jes n Unfom oon *. aassa an J. Case NASA Langley Reseah Cene Hamon gna Absa Alan Powell has mae sgnfan onbuons o he unesanng of many
More informationPhysics 201 Lecture 15
Phscs 0 Lecue 5 l Goals Lecue 5 v Elo consevaon of oenu n D & D v Inouce oenu an Iulse Coens on oenu Consevaon l oe geneal han consevaon of echancal eneg l oenu Consevaon occus n sses wh no ne eenal foces
More information& Hydrofoil Cavitation Bubble Behavior and Noise
The 3nd Inenaona Congess and Eoson on Nose Cono Engneeng Jeju Inenaona Convenon Cene Seogwo Koea Augus 5-8 3 [N689] Pedon o Undewae Poee Nose Hydoo Cavaon Bue Behavo and Nose Fs Auho: Hanshn Seo Cene o
More informationPendulum Dynamics. = Ft tangential direction (2) radial direction (1)
Pendulum Dynams Consder a smple pendulum wh a massless arm of lengh L and a pon mass, m, a he end of he arm. Assumng ha he fron n he sysem s proporonal o he negave of he angenal veloy, Newon s seond law
More information( ) () we define the interaction representation by the unitary transformation () = ()
Hgher Order Perurbaon Theory Mchael Fowler 3/7/6 The neracon Represenaon Recall ha n he frs par of hs course sequence, we dscussed he chrödnger and Hesenberg represenaons of quanum mechancs here n he chrödnger
More informationA New Interference Approach for Ballistic Impact into Stacked Flexible Composite Body Armor
5h AIAA/ASME/ASCE/AHS/ASC Suues, Suual Dynams, and Maeals Confeene17h 4-7 May 9, Palm Sngs, Calfona AIAA 9-669 A New Inefeene Aoah fo Balls Ima no Saked Flexble Comose Body Amo S. Legh Phoenx 1 and
More informationMass-Spring Systems Surface Reconstruction
Mass-Spng Syses Physally-Based Modelng: Mass-Spng Syses M. Ale O. Vasles Mass-Spng Syses Mass-Spng Syses Snake pleenaon: Snake pleenaon: Iage Poessng / Sae Reonson: Iage poessng/ Sae Reonson: Mass-Spng
More information4/3/2017. PHY 712 Electrodynamics 9-9:50 AM MWF Olin 103
PHY 7 Eleodnais 9-9:50 AM MWF Olin 0 Plan fo Leue 0: Coninue eading Chap Snhoon adiaion adiaion fo eleon snhoon deies adiaion fo asonoial objes in iula obis 0/05/07 PHY 7 Sping 07 -- Leue 0 0/05/07 PHY
More informationANALYSIS OF SIGNAL IN ANALOG MODULATION
NLYSIS OF SIGNL IN NLOG MODULTION Sandro drano Fasolo and Luano Leonel Mendes bsra Today, he a lo o noraon s reorded n dgal ora The bes way o rans hs dgal noraon s usng a dgal ounaon syse In hs senaro,
More informationChapter 3: Vectors and Two-Dimensional Motion
Chape 3: Vecos and Two-Dmensonal Moon Vecos: magnude and decon Negae o a eco: eese s decon Mulplng o ddng a eco b a scala Vecos n he same decon (eaed lke numbes) Geneal Veco Addon: Tangle mehod o addon
More informationIn the complete model, these slopes are ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL. (! i+1 -! i ) + [(!") i+1,q - [(!
ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL The frs hng o es n wo-way ANOVA: Is here neracon? "No neracon" means: The man effecs model would f. Ths n urn means: In he neracon plo (wh A on he horzonal
More informationCHAPTER 10: LINEAR DISCRIMINATION
HAPER : LINEAR DISRIMINAION Dscmnan-based lassfcaon 3 In classfcaon h K classes ( k ) We defned dsmnan funcon g () = K hen gven an es eample e chose (pedced) s class label as f g () as he mamum among g
More informationFI 3103 Quantum Physics
/9/4 FI 33 Quanum Physcs Aleander A. Iskandar Physcs of Magnesm and Phooncs Research Grou Insu Teknolog Bandung Basc Conces n Quanum Physcs Probably and Eecaon Value Hesenberg Uncerany Prncle Wave Funcon
More information9.4 Absorption and Dispersion
9.4 Absoon and Dsson 9.4. loagn Wavs n Conduos un dnsy n a onduo ollowng Oh s law: J Th Maxwll s uaons n a onduo lna da should b: ρ B B B J To sly h suaon w agu ha h hag dsaas uly n a aoso od. Fo h onnuy
More informationTHEORETICAL AUTOCORRELATIONS. ) if often denoted by γ. Note that
THEORETICAL AUTOCORRELATIONS Cov( y, y ) E( y E( y))( y E( y)) ρ = = Var( y) E( y E( y)) =,, L ρ = and Cov( y, y ) s ofen denoed by whle Var( y ) f ofen denoed by γ. Noe ha γ = γ and ρ = ρ and because
More informations = rθ Chapter 10: Rotation 10.1: What is physics?
Chape : oaon Angula poson, velocy, acceleaon Consan angula acceleaon Angula and lnea quanes oaonal knec enegy oaonal nea Toque Newon s nd law o oaon Wok and oaonal knec enegy.: Wha s physcs? In pevous
More informationCaputo Equations in the frame of fractional operators with Mittag-Leffler kernels
nvenon Jounl o Reseh Tehnoloy n nneen & Mnemen JRTM SSN: 455-689 wwwjemom Volume ssue 0 ǁ Ooe 08 ǁ PP 9-45 Cuo uons n he me o onl oeos wh M-ele enels on Qn Chenmn Hou* Ynn Unvesy Jln Ynj 00 ASTRACT: n
More informationName of the Student:
Engneeng Mahemacs 05 SUBJEC NAME : Pobably & Random Pocess SUBJEC CODE : MA645 MAERIAL NAME : Fomula Maeal MAERIAL CODE : JM08AM007 REGULAION : R03 UPDAED ON : Febuay 05 (Scan he above QR code fo he dec
More informationGMM parameter estimation. Xiaoye Lu CMPS290c Final Project
GMM paraeer esaon Xaoye Lu M290c Fnal rojec GMM nroducon Gaussan ure Model obnaon of several gaussan coponens Noaon: For each Gaussan dsrbuon:, s he ean and covarance ar. A GMM h ures(coponens): p ( 2π
More informationANSWERS TO ODD NUMBERED EXERCISES IN CHAPTER 2
Joh Rley Novembe ANSWERS O ODD NUMBERED EXERCISES IN CHAPER Seo Eese -: asvy (a) Se y ad y z follows fom asvy ha z Ehe z o z We suppose he lae ad seek a oado he z Se y follows by asvy ha z y Bu hs oads
More informationSound Radiation of Circularly Oscillating Spherical and Cylindrical Shells. John Wang and Hongan Xu Volvo Group 4/30/2013
Sound Radaton of Culaly Osllatng Spheal and Cylndal Shells John Wang and Hongan Xu Volvo Goup /0/0 Abstat Closed-fom expesson fo sound adaton of ulaly osllatng spheal shells s deved. Sound adaton of ulaly
More informationLecture 18: The Laplace Transform (See Sections and 14.7 in Boas)
Lecure 8: The Lalace Transform (See Secons 88- and 47 n Boas) Recall ha our bg-cure goal s he analyss of he dfferenal equaon, ax bx cx F, where we emloy varous exansons for he drvng funcon F deendng on
More informationJ 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
More informationL4:4. motion from the accelerometer. to recover the simple flutter. Later, we will work out how. readings L4:3
elave moon L4:1 To appl Newon's laws we need measuemens made fom a 'fed,' neal efeence fame (unacceleaed, non-oang) n man applcaons, measuemens ae made moe smpl fom movng efeence fames We hen need a wa
More informationChannel Bargaining with Retailer Asymmetry
Channel Baganng wh Reale Asymmey Anhony ukes Eshe Gal-O annan Snvasan 3 Shool of Eonoms & Managemen, Unvesy of Aahus, Åhus enmak, adukes@eon.au.dk Glenn Snson Cha n Comeveness and Pofesso of Busness Admnsaon
More informationECON 8105 FALL 2017 ANSWERS TO MIDTERM EXAMINATION
MACROECONOMIC THEORY T. J. KEHOE ECON 85 FALL 7 ANSWERS TO MIDTERM EXAMINATION. (a) Wh an Arrow-Debreu markes sruure fuures markes for goods are open n perod. Consumers rade fuures onras among hemselves.
More informationLecture Notes 4: Consumption 1
Leure Noes 4: Consumpon Zhwe Xu (xuzhwe@sju.edu.n) hs noe dsusses households onsumpon hoe. In he nex leure, we wll dsuss rm s nvesmen deson. I s safe o say ha any propagaon mehansm of maroeonom model s
More informationISSN 2075-4272. : 2 (27) 2014 004. (...) E-a: fee75@a.u... :.... [1-4]: ()... [5-6] [7].. [1389].. : TD-PSOLA ) FD-PSOLA ) LP-PSOLA ).. [10]. 127 ISSN 2075-4272. : 2 (27) 2014. : 1.. 2.. 3.. 4.. 5.. 6..
More informationLecture 3 summary. C4 Lecture 3 - Jim Libby 1
Lecue su Fes of efeece Ivce ude sfoos oo of H wve fuco: d-fucos Eple: e e - µ µ - Agul oeu s oo geeo Eule gles Geec slos cosevo lws d Noehe s heoe C4 Lecue - Lbb Fes of efeece Cosde fe of efeece O whch
More informationSuppose we have observed values t 1, t 2, t n of a random variable T.
Sppose we have obseved vales, 2, of a adom vaable T. The dsbo of T s ow o belog o a cea ype (e.g., expoeal, omal, ec.) b he veco θ ( θ, θ2, θp ) of ow paamees assocaed wh s ow (whee p s he mbe of ow paamees).
More information2 shear strain / L for small angle
Sac quaons F F M al Sess omal sess foce coss-seconal aea eage Shea Sess shea sess shea foce coss-seconal aea llowable Sess Faco of Safe F. S San falue Shea San falue san change n lengh ognal lengh Hooke
More informationSolution 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
More informationModern Energy Functional for Nuclei and Nuclear Matter. By: Alberto Hinojosa, Texas A&M University REU Cyclotron 2008 Mentor: Dr.
Moden Enegy Funconal fo Nucle and Nuclea Mae By: lbeo noosa Teas &M Unvesy REU Cycloon 008 Meno: D. Shalom Shlomo Oulne. Inoducon.. The many-body poblem and he aee-fock mehod. 3. Skyme neacon. 4. aee-fock
More information[ ] 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
More informationDensity Matrix Description of NMR BCMB/CHEM 8190
Densy Marx Descrpon of NMR BCMBCHEM 89 Operaors n Marx Noaon If we say wh one bass se, properes vary only because of changes n he coeffcens weghng each bass se funcon x = h< Ix > - hs s how we calculae
More informationDensity Matrix Description of NMR BCMB/CHEM 8190
Densy Marx Descrpon of NMR BCMBCHEM 89 Operaors n Marx Noaon Alernae approach o second order specra: ask abou x magnezaon nsead of energes and ranson probables. If we say wh one bass se, properes vary
More informationON THE EXTENSION OF WEAK ARMENDARIZ RINGS RELATIVE TO A MONOID
wwweo/voue/vo9iue/ijas_9 9f ON THE EXTENSION OF WEAK AENDAIZ INGS ELATIVE TO A ONOID Eye A & Ayou Eoy Dee of e Nowe No Uvey Lzou 77 C Dee of e Uvey of Kou Ou Su E-: eye76@o; you975@yooo ABSTACT Fo oo we
More information1 Constant Real Rate C 1
Consan Real Rae. Real Rae of Inees Suppose you ae equally happy wh uns of he consumpon good oday o 5 uns of he consumpon good n peod s me. C 5 Tha means you ll be pepaed o gve up uns oday n eun fo 5 uns
More informationChapter 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.
More informationComputer Propagation Analysis Tools
Compue Popagaion Analysis Tools. Compue Popagaion Analysis Tools Inoducion By now you ae pobably geing he idea ha pedicing eceived signal sengh is a eally impoan as in he design of a wieless communicaion
More informationTHE 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
More informationEngineering Accreditation. Heat Transfer Basics. Assessment Results II. Assessment Results. Review Definitions. Outline
Hea ansfe asis Febua 7, 7 Hea ansfe asis a Caeo Mehanial Engineeing 375 Hea ansfe Febua 7, 7 Engineeing ediaion CSUN has aedied pogams in Civil, Eleial, Manufauing and Mehanial Engineeing Naional aediing
More informationConservation of Momentum. The purpose of this experiment is to verify the conservation of momentum in two dimensions.
Conseraion of Moenu Purose The urose of his exerien is o erify he conseraion of oenu in wo diensions. Inroducion and Theory The oenu of a body ( ) is defined as he roduc of is ass () and elociy ( ): When
More informationNumerical Study of Large-area Anti-Resonant Reflecting Optical Waveguide (ARROW) Vertical-Cavity Semiconductor Optical Amplifiers (VCSOAs)
USOD 005 uecal Sudy of Lage-aea An-Reonan Reflecng Opcal Wavegude (ARROW Vecal-Cavy Seconduco Opcal Aplfe (VCSOA anhu Chen Su Fung Yu School of Eleccal and Eleconc Engneeng Conen Inoducon Vecal Cavy Seconduco
More informationTwo-Pion Exchange Currents in Photodisintegration of the Deuteron
Two-Pion Exchange Cuens in Phoodisinegaion of he Deueon Dagaa Rozędzik and Jacek Goak Jagieonian Univesiy Kaków MENU00 3 May 00 Wiiasbug Conen Chia Effecive Fied Theoy ChEFT Eecoagneic cuen oeaos wihin
More informationAPVC2007. Rank Ordering and Parameter Contributions of Parallel Vibration Transfer Path Systems *
, Saoo, Jaan Ran Odng and Paa Conbuon of Paalll Vbaon anf Pah Sy * Yn HANG ** Rajnda SINGH *** and Banghun WEN ** **Collg of Mhanal Engnng and Auoaon, Nohan Unvy, POBo 19, No. -11 Wnhua Road, Shnyang,
More informationA. Thicknesses and Densities
10 Lab0 The Eath s Shells A. Thcknesses and Denstes Any theoy of the nteo of the Eath must be consstent wth the fact that ts aggegate densty s 5.5 g/cm (ecall we calculated ths densty last tme). In othe
More informationWater Hammer in Pipes
Waer Haer Hydraulcs and Hydraulc Machnes Waer Haer n Pes H Pressure wave A B If waer s flowng along a long e and s suddenly brough o res by he closng of a valve, or by any slar cause, here wll be a sudden
More informationEulerian and Newtonian dynamics of quantum particles
Eulean and ewonan dynas of uanu pales.a. Rasovsy Insue fo Pobles n Means, Russan Aadey of enes, Venadsogo Ave., / Mosow, 956, Russa, Tel. 7 495 554647, E-al: as@pne.u We deve e lassal euaons of ydodynas
More informationIn accordance with Regulation 21(1), the Agency has notified, and invited submissions &om, certain specified
hef xeuve Offe Wesen Regonal Fshees Boad The We odge al s odge Galway 6 June 2009 Re Dea S nvonmenal Poeon Ageny An Ghnwmhomoh un Oloomhnll omhshd Headquaes. PO Box 000 Johnsown asle sae ouny Wexfod, eland
More information2/24/2014. The point mass. Impulse for a single collision The impulse of a force is a vector. The Center of Mass. System of particles
/4/04 Chapte 7 Lnea oentu Lnea oentu of a Sngle Patcle Lnea oentu: p υ It s a easue of the patcle s oton It s a vecto, sla to the veloct p υ p υ p υ z z p It also depends on the ass of the object, sla
More informationReflection and Refraction
Chape 1 Reflecon and Refacon We ae now neesed n eplong wha happens when a plane wave avelng n one medum encounes an neface (bounday) wh anohe medum. Undesandng hs phenomenon allows us o undesand hngs lke:
More information( r) E (r) Phasor. Function of space only. Fourier series Synthesis equations. Sinusoidal EM Waves. For complex periodic signals
Inoducon Snusodal M Was.MB D Yan Pllo Snusodal M.3MB 3. Snusodal M.3MB 3. Inoducon Inoducon o o dsgn h communcaons sd of a sall? Fqunc? Oms oagaon? Oms daa a? Annnas? Dc? Gan? Wa quaons Sgnal analss Wa
More informationOutput equals aggregate demand, an equilibrium condition Definition of aggregate demand Consumption function, c
Eonoms 435 enze D. Cnn Fall Soal Senes 748 Unversy of Wsonsn-adson Te IS-L odel Ts se of noes oulnes e IS-L model of naonal nome and neres rae deermnaon. Ts nvolves exendng e real sde of e eonomy (desred
More informationThe Non-Truncated Bulk Arrival Queue M x /M/1 with Reneging, Balking, State-Dependent and an Additional Server for Longer Queues
Alied Maheaical Sciece Vol. 8 o. 5 747-75 The No-Tucaed Bul Aival Queue M x /M/ wih Reei Bali Sae-Deede ad a Addiioal Seve fo Loe Queue A. A. EL Shebiy aculy of Sciece Meofia Uiveiy Ey elhebiy@yahoo.co
More informationReflection and Refraction
Chape 3 Refleon and Refaon As we know fom eveyday expeene, when lgh aves a an nefae beween maeals paally efles and paally ansms. In hs hape, we examne wha happens o plane waves when hey popagae fom one
More informationHuman being is a living random number generator. Abstract: General wisdom is, mathematical operation is needed to generate number by numbers.
Huan beng s a lvng o nube geneato Anda Mta Anushat Abasan, Utta halgun -7, /AF, alt Lae, olata, West Bengal, 764, Inda Abstat: Geneal wsdo s, atheatal oeaton s needed to geneate nube by nubes It s onted
More informationDepartment of Chemical Engineering University of Tennessee Prof. David Keffer. Course Lecture Notes SIXTEEN
D. Keffe - ChE 40: Hea Tansfe and Fluid Flow Deamen of Chemical Enee Uniesi of Tennessee Pof. Daid Keffe Couse Lecue Noes SIXTEEN SECTION.6 DIFFERENTIL EQUTIONS OF CONTINUITY SECTION.7 DIFFERENTIL EQUTIONS
More informationBackcalculation Analysis of Pavement-layer Moduli Using Pattern Search Algorithms
Bakallaon Analyss of Pavemen-laye Modl Usng Paen Seah Algohms Poje Repo fo ENCE 74 Feqan Lo May 7 005 Bakallaon Analyss of Pavemen-laye Modl Usng Paen Seah Algohms. Inodon. Ovevew of he Poje 3. Objeve
More informationElectromagnetic theory and transformations between reference frames: a new proposal
leoagne heo an ansfoaons beween efeene faes: a new oosal Clauo P. Panana al: lauo.anana@gal.o bsa Ths ae ooses a Gallean-naan heo of eleoagnes, alable a fs oe n /, esbng boh nsananeous an oagae neaons.
More informationElectromagnetic energy, momentum and forces in a dielectric medium with losses
leroane ener, oenu and fores n a deler edu wh losses Yur A. Srhev he Sae Ao ner Cororaon ROSAO, "Researh and esn Insue of Rado-leron nneern" - branh of Federal Senf-Produon Cener "Produon Assoaon "Sar"
More informationHEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD
Journal of Appled Mahemacs and Compuaonal Mechancs 3, (), 45-5 HEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD Sansław Kukla, Urszula Sedlecka Insue of Mahemacs,
More informationLecture 5. Plane Wave Reflection and Transmission
Lecue 5 Plane Wave Reflecon and Tansmsson Incden wave: 1z E ( z) xˆ E (0) e 1 H ( z) yˆ E (0) e 1 Nomal Incdence (Revew) z 1 (,, ) E H S y (,, ) 1 1 1 Refleced wave: 1z E ( z) xˆ E E (0) e S H 1 1z H (
More informationAdvanced time-series analysis (University of Lund, Economic History Department)
Advanced me-seres analss (Unvers of Lund, Economc Hsor Dearmen) 3 Jan-3 Februar and 6-3 March Lecure 4 Economerc echnues for saonar seres : Unvarae sochasc models wh Box- Jenns mehodolog, smle forecasng
More informationRotations.
oons j.lbb@phscs.o.c.uk To s summ Fmes of efeence Invnce une nsfomons oon of wve funcon: -funcons Eule s ngles Emple: e e - - Angul momenum s oon geneo Genec nslons n Noehe s heoem Fmes of efeence Conse
More informationModal Analysis of Periodically Time-varying Linear Rotor Systems using Floquet Theory
7h IFoMM-Confeene on Roo Dynams Venna Ausa 25-28 Sepembe 2006 Modal Analyss of Peodally me-vayng Lnea Roo Sysems usng Floque heoy Chong-Won Lee Dong-Ju an Seong-Wook ong Cene fo Nose and Vbaon Conol (NOVIC)
More informationNormal Random Variable and its discriminant functions
Noral Rando Varable and s dscrnan funcons Oulne Noral Rando Varable Properes Dscrnan funcons Why Noral Rando Varables? Analycally racable Works well when observaon coes for a corruped snle prooype 3 The
More informationUniversity of California, Davis Date: June xx, PRELIMINARY EXAMINATION FOR THE Ph.D. DEGREE ANSWER KEY
Unvesy of Calfona, Davs Dae: June xx, 009 Depamen of Economcs Tme: 5 hous Mcoeconomcs Readng Tme: 0 mnues PRELIMIARY EXAMIATIO FOR THE Ph.D. DEGREE Pa I ASWER KEY Ia) Thee ae goods. Good s lesue, measued
More informationEMA5001 Lecture 3 Steady State & Nonsteady State Diffusion - Fick s 2 nd Law & Solutions
EMA5 Lecue 3 Seady Sae & Noseady Sae ffuso - Fck s d Law & Soluos EMA 5 Physcal Popees of Maeals Zhe heg (6) 3 Noseady Sae ff Fck s d Law Seady-Sae ffuso Seady Sae Seady Sae = Equlbum? No! Smlay: Sae fuco
More informationFourier Series & The Fourier Transform. Joseph Fourier, our hero. Lord Kelvin on Fourier s theorem. What do we want from the Fourier Transform?
ourier Series & The ourier Transfor Wha is he ourier Transfor? Wha do we wan fro he ourier Transfor? We desire a easure of he frequencies presen in a wave. This will lead o a definiion of he er, he specru.
More informationNotes 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
More informationFundamental Vehicle Loads & Their Estimation
Fundaenal Vehicle Loads & Thei Esiaion The silified loads can only be alied in he eliinay design sage when he absence of es o siulaion daa They should always be qualified and udaed as oe infoaion becoes
More informationDeadlock Avoidance for Free Choice Multi- Reentrant Flow lines: Critical Siphons & Critical Subsystems 1
Deadlo Avodane fo Fee Choe Mul- Reenan Flow lnes: Cal Shons & Cal Subsysems P. Ballal, F. Lews, Fellow IEEE, J. Meles, Membe IEEE, J., K. Seenah Auomaon & Robos Reseah Insue, Unvesy of exas a Alngon, 73
More information4.1 Schrödinger Equation in Spherical Coordinates
Phs 34 Quu Mehs D 9 9 Mo./ Wed./ Thus /3 F./4 Mo., /7 Tues. / Wed., /9 F., /3 4.. -. Shodge Sphe: Sepo & gu (Q9.) 4..-.3 Shodge Sphe: gu & d(q9.) Copuo: Sphe Shodge s 4. Hdoge o (Q9.) 4.3 gu Moeu 4.4.-.
More informationDesign of Elastic Couplings with Metallic Flexible Membranes
Poeedngs of he s Inenaonal Confeene on anufaung Engneeng, Qualy and Poduon Syms (Volume I) Desgn of Elas Couplngs wh eall Flexble embanes Dobe Danel, Smon Ionel Depamen of Despve Geomey and Engneeng Gaphs
More informationLecture 2 M/G/1 queues. M/G/1-queue
Lecure M/G/ queues M/G/-queue Posson arrval process Arbrary servce me dsrbuon Sngle server To deermne he sae of he sysem a me, we mus now The number of cusomers n he sysems N() Tme ha he cusomer currenly
More informationAn Optimization Model for Empty Container Reposition under Uncertainty
n Omzon Mode o Emy onne Reoson nde neny eodo be n Demen o Mnemen nd enooy QM nd ene de Reee s es nsos Moné nd Mssmo D Fneso Demen o Lnd Enneen nesy o Iy o Zdds Demen o Lnd Enneen nesy o Iy Inodon. onne
More information(1) Cov(, ) E[( E( ))( E( ))]
Impac of Auocorrelao o OLS Esmaes ECON 3033/Evas Cosder a smple bvarae me-seres model of he form: y 0 x The four key assumpos abou ε hs model are ) E(ε ) = E[ε x ]=0 ) Var(ε ) =Var(ε x ) = ) Cov(ε, ε )
More informationMathematical Modeling of the Dehydrogenase Catalyzed Hexanol Oxidation with Coenzyme Regeneration by NADH Oxidase
Maheaal Modelng of he Dehydrogenase Caalyzed Hexanol Oxdaon wh Coenzye Regeneraon by H Oxdase T. Iswarya, L. Rajendran, E. Sahappan,,*,Deparen of Maheas, Alagappa Gov. Ars College, arakud, Talnadu. Deparen
More informationLIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF MARCINKIEWICZ OPERATOR
Reseh d ouiios i heis d hei Siees Vo. Issue Pges -46 ISSN 9-699 Puished Oie o Deee 7 Joi Adei Pess h://oideiess.e IPSHITZ ESTIATES FOR UTIINEAR OUTATOR OF ARINKIEWIZ OPERATOR DAZHAO HEN Dee o Siee d Ioio
More informationESS 265 Spring Quarter 2005 Kinetic Simulations
SS 65 Spng Quae 5 Knec Sulaon Lecue une 9 5 An aple of an lecoagnec Pacle Code A an eaple of a knec ulaon we wll ue a one denonal elecoagnec ulaon code called KMPO deeloped b Yohhau Oua and Hoh Mauoo.
More informationChapter Fifiteen. Surfaces Revisited
Chapte Ffteen ufaces Revsted 15.1 Vecto Descpton of ufaces We look now at the vey specal case of functons : D R 3, whee D R s a nce subset of the plane. We suppose s a nce functon. As the pont ( s, t)
More informationVolatility Interpolation
Volaly Inerpolaon Prelmnary Verson March 00 Jesper Andreasen and Bran Huge Danse Mares, Copenhagen wan.daddy@danseban.com brno@danseban.com Elecronc copy avalable a: hp://ssrn.com/absrac=69497 Inro Local
More informationRepresenting Knowledge. CS 188: Artificial Intelligence Fall Properties of BNs. Independence? Reachability (the Bayes Ball) Example
C 188: Aificial Inelligence Fall 2007 epesening Knowledge ecue 17: ayes Nes III 10/25/2007 an Klein UC ekeley Popeies of Ns Independence? ayes nes: pecify complex join disibuions using simple local condiional
More informationCubic Bezier Homotopy Function for Solving Exponential Equations
Penerb Journal of Advanced Research n Compung and Applcaons ISSN (onlne: 46-97 Vol. 4, No.. Pages -8, 6 omoopy Funcon for Solvng Eponenal Equaons S. S. Raml *,,. Mohamad Nor,a, N. S. Saharzan,b and M.
More informationCOMPLEMENTARY ENERGY METHOD FOR CURVED COMPOSITE BEAMS
ultscence - XXX. mcocd Intenatonal ultdscplnay Scentfc Confeence Unvesty of skolc Hungay - pl 06 ISBN 978-963-358-3- COPLEENTRY ENERGY ETHOD FOR CURVED COPOSITE BES Ákos József Lengyel István Ecsed ssstant
More informationABSOLUTE INDEXED SUMMABILITY FACTOR OF AN INFINITE SERIES USING QUASI-F-POWER INCREASING SEQUENCES
Available olie a h://sciog Egieeig Maheaics Lees 2 (23) No 56-66 ISSN 249-9337 ABSLUE INDEED SUMMABILIY FACR F AN INFINIE SERIES USING QUASI-F-WER INCREASING SEQUENCES SKAIKRAY * RKJAI 2 UKMISRA 3 NCSAH
More informationChapter Finite Difference Method for Ordinary Differential Equations
Chape 8.7 Fne Dffeence Mehod fo Odnay Dffeenal Eqaons Afe eadng hs chape, yo shold be able o. Undesand wha he fne dffeence mehod s and how o se o solve poblems. Wha s he fne dffeence mehod? The fne dffeence
More informationOrigin of the inertial mass (II): Vector gravitational theory
Orn of he neral mass (II): Veor ravaonal heory Weneslao Seura González e-mal: weneslaoseuraonzalez@yahoo.es Independen Researher Absra. We dedue he nduve fores of a veor ravaonal heory and we wll sudy
More informationCHAPTER 3 DETECTION TECHNIQUES FOR MIMO SYSTEMS
4 CAPTER 3 DETECTION TECNIQUES FOR MIMO SYSTEMS 3. INTRODUCTION The man challenge n he paccal ealzaon of MIMO weless sysems les n he effcen mplemenaon of he deeco whch needs o sepaae he spaally mulplexed
More informationX-Ray Notes, Part III
oll 6 X-y oe 3: Pe X-Ry oe, P III oe Deeo Coe oupu o x-y ye h look lke h: We efe ue of que lhly ffee efo h ue y ovk: Co: C ΔS S Sl o oe Ro: SR S Co o oe Ro: CR ΔS C SR Pevouly, we ee he SR fo ye hv pxel
More informationMonetary policy and models
Moneay polcy and odels Kes Næss and Kes Haae Moka Noges Bank Moneay Polcy Unvesy of Copenhagen, 8 May 8 Consue pces and oney supply Annual pecenage gowh. -yea ovng aveage Gowh n oney supply Inflaon - 9
More informationReinforcement learning
Lecue 3 Reinfocemen leaning Milos Hauskech milos@cs.pi.edu 539 Senno Squae Reinfocemen leaning We wan o lean he conol policy: : X A We see examples of x (bu oupus a ae no given) Insead of a we ge a feedback
More informationSharif University of Technology - CEDRA By: Professor Ali Meghdari
Shaif Univesiy of echnology - CEDRA By: Pofesso Ali Meghai Pupose: o exen he Enegy appoach in eiving euaions of oion i.e. Lagange s Meho fo Mechanical Syses. opics: Genealize Cooinaes Lagangian Euaion
More information