Henn, T.

Heuveline, V.

Krause, M.

Ritterbusch, S.

English

KITopen

Aortic Coarctation simulation based onthe Lattice Boltzmann method: bench-mark resultsT. Henn, V. Heuveline, M. Krause, S. RitterbuschNo. 2012-06KIT – University of the State of Baden-Wuerttemberg andNational Research Center of the Helmholtz Association www.emcl.kit.eduPreprint Series of the Engineering Mathematics and Computing Lab (EMCL)Preprint Series of the Engineering Mathematics and Computing Lab (EMCL)ISSN 2191–0693No. 2012-06ImpressumKarlsruhe Institute of Technology (KIT)Engineering Mathematics and Computing Lab (EMCL)Fritz-Erler-Str. 23, building 01.8676133 KarlsruheGermanyKIT – University of the State of Baden Wuerttemberg andNational Laboratory of the Helmholtz AssociationPublished on the Internet under the following Creative Commons License:http://creativecommons.org/licenses/by-nc-nd/3.0/de .www.emcl.kit.edu !"#$% &!'"%#'#$!( )$*+,'#$!( -')./ !( #0.1'##$%. 2!,#3*'(( *.#0!/4 -.(%0*'"5 ".)+,#)6 !"#$% &'((1) *+(,'(- &'./'0+('1) 1$-!+$% 23 45$.%'2) $(67'8$%-+$( 9+--'58.%,!11 !"#!$$%#!" &'()$*'(#+, '!- ./*01(#!" 2'345'%6,%1)$ 7!,(#(1($ 8/% 9$+)!/6/": ;579<45'#,$%,(%',,$ =>4 ?@=A= 5'%6,%1)$4 B$%*'!:27!,(#(1($ 8/% C6"$3%' '!- B$/*$(%:5'%6,%1)$ 7!,(#(1($ /8 9$+)!/6/": ;579<45'#,$%,(%D EA4 ?@=>F 5'%6,%1)$4 B$%*'!: !"#$%&#' G$ #!H$,(#"'($ ' 0'(#$!( ,0$+#I+ 36//- J/K ,#*16'(#/!()%/1") ' (%'!,H$%,$ '/%(#+ '%+) K#() ' */-$%'($ ()/%'+#+ '/%(#+ +/'%+L('(#/!4 K)$%$ 0'%(#+16'% '(($!(#/! #, 0'#- (/ ()$ 36//- 0%$,,1%$ "%'-#$!(()%/1") ()$ +/'%+('(#/!D 9)$ +)'66$!"$ #! 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EUH !" #$#%&'#"()'*+ $, *!" -)$.&"/ 01)1*1 u 2$/"3 ,)$/ *!" *")/ (u · ∇)u '# *!"456 7891 :22$);'#< *$ =>?@ =A? '# 2(3" $, 3*(*'$#()'*+ (#; ( 3BC2'"#*&+ 3/$$*!)'<!* !(#; 3';" *!")" "D'3*3 (* /$3* $#" 3*)$#< 3$&B*'$# ,$) *!" E"&$2'*+ u@0!")"(3 *!" 3$&B*'$# ,$) *!" -)"33B)" '3 $#&+ ;"F#"; B- *$ (# (;;'*'E" 2$#%3*(#* =G?1 !"##$%& '()#*+",, -&#.(/ !" 3B.2&(33 $, &(**'2" H$&*I/(## /"*!$;3 2$#3';")"; !")" "#(.&"3 *!" 3'/B%&(*'$# $, *!" ;+#(/'23 $, '#2$/-)"33'.&" J"0*$#'(# KB';3 0!'2! '3 B3B(&&+ ;"%32)'."; /(2)$32$-'2(&&+ .+ (# '#'*'(& E(&B" -)$.&"/ <$E")#"; .+ ( J(E'")%L*$M"3"NB(*'$#1 O#3*"(; $, ;')"2*&+ 2$/-B*'#< *!" NB(#*'*'"3 $, '#*")"3*3@ 0!'2! ()"*!" 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B(,K3$ ($A$+-"%! -/$ 0$*&'($1A,. #,3'0$ "& &$- *- -/$ *&+$%1"%! *,(-"+ ,B$%"%!= D/$ 53,,1 A,. -/(,'!/-/$ 'BB$( 5(*%+/ #$&&$3& .*& $2B$("0$%-*336 0$*&'($1 *& * B$(+$%-*!$ ,) -/$*&+$%1"%! *,(-"+ A,.= D/$($),($ -/$ A,. -/(,'!/ -/$ 3$)- +*(,-"1 *(-$(6 "& &$- -,5$ 11.3% ,) -/$ *,(-"+ A,.8 ./$($*& -/$ A,. -/(,'!/ -/$ 3$)- &'5+3*#"*% *(-$(6 "&&$- -, 5$ 4.26%= :,( -/$ ("!/- +*(,-"1 *%1 -/$ ("!/- &'5+3*#"*% ,%36 * +,05"%$1#*3'$ ,) 25.6% .*& *#*"3*53$= L$%+$ -/$ A,. -/(,'!/ -/$&$ -., *(-$("$& .*&+*3+'3*-$1 1$B$%1"%! ,% -/$ *($*& ,) -/$ ,B$%"%!& *%1 +/,&$% -, 5$ 10.9% *%114.7%8 ($&B$+-"#$36= D/$ 5,'%1*(6 +,%1"-",%& *- -/$ 1$&+$%1"%! *,(-* "& &$- *&B($&&'($ +,%1"-",%8 "=$= -/$ B($&&'($ "& K2$1 -, 000L! ),( *33 -"0$&=  )'33C.*65,'%+$ 5*+F +,%1"-",% "& *&&"!%$1 -, -/$ ($0*"%"%! &'()*+$= D/$ 53,,1 "& *&&'0$1-, 5$ M$.-,%"*% ."-/ * 1$%&"-6 ,) ρ = 0.001 !(N003*%1 * 16%*0"+ #"&+,&"-6,) µ = 0.004 !(N00N&=  D3Q19 OPQCR*--"+$ O,3-40*%% S$-/,18 &'BB,(-$156 * E0*!,("%&F6 -'(5'3$%+$ 0,1$3 ."-/ +,%&-*%- CS = 0.128 .*& '&$1= D/$&"0'3*-",%& .$($ $2$+'-$1 '&"%! -/$ ,B$%C&,'(+$ 3"5(*(6 TB$%RO = U,0B'-*-",%-"0$& #*(6 5$-.$$% *BB(,2= 1.5 /,'(& ,% 64 V%-$3 W$,% WXYX@Z?=Y[PL4 +,($&),( -/$ &0*33$&- ($&,3'-",% *%1 6 1*6& ,++'B6"%! 512  S\ TB-$(,%Z?=YPL4+,($& ),( -/$ /"!/$&- ($&,3'-",%= !/ 0-,&'),D., +*(1"*+ +6+3$& /*#$ 5$$% &"0'3*-$1 *%1 -/$ B($&&'($ 1(,B *- -/$ *,(-"++,*(+-*-",% .*& 1$-$(0"%$1 56 +*3+'3*-",% ,) -/$ &B*-"*3 B($&&'($ *#$(*!$ "% -.,B3*%$& π1 *%1 π2 9 !" :"!'($ ;<= D/$ *5&,3'-$ B($&&'($ ,#$( -"0$ *- -/$ *&+$%1"%!*,(-* *%1 -/$ B($&&'($ 1(,B *(,'%1 -/$ +,*(+-*-",% *($ &/,.% "% :"!'($& ] *%1^ ),( 1"7$($%- &B*-"*3 ($&,3'-",%&= V- "& ),'%1 -/*- ."-/ "%+($*&"%! 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JE'/  OOQL KVMQPKVKMPreprint Series of the Engineering Mathematics and Computing Labrecent issuesNo. 2012-05 Vincent Heuveline, Eva Ketelaer, Staffan Ronnas, Mareike Schmidtobreick,Martin Wlotzka: Scalability Study of HiFlow3 based on a Fluid Flow ChannelBenchmarkNo. 2012-04 Hartwig Anzt, Armen Beglarian, Suren Chilingaryan, Andrew Ferrone,Vincent Heuveline, Andreas Kopmann: A unified Energy Footprint for SimulationSoftwareNo. 2012-03 Vincent Heuveline, Chandramowli Subramanian: The Coffee-table Book ofPseudospectraNo. 2012-02 Dominik P.J. Barz, Hendryk Bockelmann, Vincent Heuveline: Electrokineticoptimization of a micromixer for lab-on-chip applicationsNo. 2012-01 Sven Janko, Björn Rocker, Martin Schindewolf, Vincent Heuveline, Wolfgang Karl:Software Transactional Memory, OpenMP and Pthread implementations of theConjugate Gradients Method - a Preliminary EvaluationNo. 2011-17 Hartwig Anzt, Jack Dongarra, Vincent Heuveline, Piotr Luszczek: GPU-AcceleratedAsynchronous Error Correction for Mixed Precision Iterative RefinementNo. 2011-16 Vincent Heuveline, Sebastian Ritterbusch, Staffan Ronn̊as: Augmented Reality forUrban Simulation VisualizationNo. 2011-15 Hartwig Anzt, Jack Dongarra, Mark Gates, Stanimire Tomov: Block-asynchronousmultigrid smoothers for GPU-accelerated systemsNo. 2011-14 Hartwig Anzt, Jack Dongarra, Vincent Heuveline, Stanimire Tomov: ABlock-Asynchronous Relaxation Method for Graphics Processing UnitsNo. 2011-13 Vincent Heuveline, Wolfgang Karl, Fabian Nowak, Mareike Schmidtobreick,Florian Wilhelm: Employing a High-Level Language for Porting Numerical Applicationsto Reconfigurable HardwareNo. 2011-12 Vincent Heuveline, Gudrun Thäter: Proceedings of the 4th EMCL-Workshop NumericalSimulation, Optimization and High Performance ComputingNo. 2011-11 Thomas Gengenbach, Vincent Heuveline, Mathias J. Krause: Numerical Simulation ofthe Human Lung: A Two–scale ApproachNo. 2011-10 Vincent Heuveline, Dimitar Lukarski, Fabian Oboril, Mehdi B. Tahoori,Jan-Philipp Weiss: Numerical Defect Correction as an Algorithm-Based FaultTolerance Technique for Iterative SolversNo. 2011-09 Vincent Heuveline, Dimitar Lukarski, Nico Trost, Jan-Philipp Weiss: ParallelSmoothers for Matrix-based Multigrid Methods on Unstructured Meshes UsingMulticore CPUs and GPUsNo. 2011-08 Vincent Heuveline, Dimitar Lukarski, Jan-Philipp Weiss: Enhanced ParallelILU(p)-based Preconditioners for Multi-core CPUs and GPUs – The Power(q)-patternMethodThe responsibility for the contents of the working papers rests with the authors, not the Institute. Since working papers are of apreliminary nature, it may be useful to contact the authors of a particular working paper about results or caveats before referring to, orquoting, a paper. Any comments on working papers should be sent directly to the authors.

Aortic Coarctation simulation based on the Lattice Boltzmann method: benchmark results

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Aortic Coarctation simulation based on the Lattice Boltzmann method: benchmark results

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