About: Numerical solution of the Stokes problem using CUDA

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Effective numerical solution of incompressible flow problems is essential for, e.g., atmospheric boundary layer simulations. Mixed finite element approximation of the incompressible Stokes or Navier-Stokes equations leads to saddle-point linear systems. Techniques for the efficient solution of large saddle-point systems are often based on an LU factorization of a sparse matrix followed by forward and backward substitutions. However, this approach is difficult to parallelize effectively. We investigate the application of graphics processing units to parallel solution of large saddle-point linear systems arising from the mixed finite element approximation of the two-dimensional Stokes equations. We present an implementation of the Schur complement method in CUDA. It is based entirely on the conjugate gradient method which can be easily parallelized on the GPU. The implementation is tested on the lid-driven cavity flow and compared with a corresponding OpenMP-based CPU implementation. The GPU implementation achieved up to nine times better performance than the 6-threaded CPU implementation and the speedup decreased when smaller systems were solved. Effective numerical solution of incompressible flow problems is essential for, e.g., atmospheric boundary layer simulations. Mixed finite element approximation of the incompressible Stokes or Navier-Stokes equations leads to saddle-point linear systems. Techniques for the efficient solution of large saddle-point systems are often based on an LU factorization of a sparse matrix followed by forward and backward substitutions. However, this approach is difficult to parallelize effectively. We investigate the application of graphics processing units to parallel solution of large saddle-point linear systems arising from the mixed finite element approximation of the two-dimensional Stokes equations. We present an implementation of the Schur complement method in CUDA. It is based entirely on the conjugate gradient method which can be easily parallelized on the GPU. The implementation is tested on the lid-driven cavity flow and compared with a corresponding OpenMP-based CPU implementation. The GPU implementation achieved up to nine times better performance than the 6-threaded CPU implementation and the speedup decreased when smaller systems were solved. (en)
Title	Numerical solution of the Stokes problem using CUDA Numerical solution of the Stokes problem using CUDA (en)
skos:prefLabel	Numerical solution of the Stokes problem using CUDA Numerical solution of the Stokes problem using CUDA (en)
skos:notation	RIV/68407700:21340/12:00188946!RIV13-MSM-21340___
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(LC06052), S, Z(MSM6840770010)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Oberhuber, Tomáš Žabka, Vítězslav Bauer, Petr
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	155087
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/12:00188946
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stokes problem; CUDA (en)
http://linked.open.../riv/klicoveSlovo	CUDA Stokes problem
http://linked.open...ontrolniKodProRIV	[ED11CC936A75]
http://linked.open...v/mistoKonaniAkce	Liberec
http://linked.open...i/riv/mistoVydani	Liberec
http://linked.open...i/riv/nazevZdroje	Seminar on Numerical Analysis
http://linked.open...in/vavai/riv/obor	BK
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	The Nečas Center for Mathematical Modeling
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Oberhuber, Tomáš Žabka, Vítězslav Bauer, Petr
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2012-01-23 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Aplikovaná matematika v technických a fyzikálních vědách
number of pages	3 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Technická univerzita v Liberci
https://schema.org/isbn	978-80-7372-821-2
http://localhost/t...ganizacniJednotka	21340

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