Geodesic
Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 12, pp. 2275-2284 Cet article a éte moissonné depuis la source Math-Net.Ru

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A logically simple algorithm based on explicit schemes for modeling flows of incompressible and weakly compressible fluids is considered. The hyperbolic variant of the quasi-gas dynamic system of equations is used as a mathematical model. An ingenious computer cluster based on NVIDIA GPUs is used for the computations. 
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A. A. Davydov; B. N. Chetverushkin; E. V. Shilnikov. Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 12, pp. 2275-2284. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_12_a15/

[1] Chetverushkin B. N., “High-performance computing: fundamental problems in industrial applications”, Parallel, Distributed and Grid Comput. Eng., Saxe-Coburg Publ., Stirlingshire, Scotland, 2009, 369–388

[2] Chetverushkin B. N., Kineticheskie skhemy i kvazigazodinamicheskaya sistema uravnenii, MAKS Press, M., 2004

[3] Perthame B., The kinetic approach to the system of conservation laws. Recent advances in partial differential equations, Res. Appl. Math., 30, Masson, Paris, 1992 | MR

[4] Tsutahara M., Takaoka N., Kataoka N., Lattice gas and lattice Boltzmann methods. New methods of computational fluid dynamics, Corona Publ., Tokyo, 1999 (in Japaneese)

[5] Succi S., The lattice Boltzmann equations for fluid dymanics and beyond, Clarendon Press, Oxford, 2001 | MR | Zbl

[6] Elizarova T. G., Kvazigazodinamicheskie uravneniya i metody rascheta vyazkikh techenii, Nauchn. mir, M., 2007

[7] Sheretov Yu. V., Matematicheskoe modelirovanie techenii zhidkosti i gaza na osnove kvazigdrodinamicheskikh i kvazigazodinamicheskikh uravnenii, Tverskoi gos. un-t, Tver, 2000

[8] Zlotnik A. A., Chetverushkin B. N., “Parabolichnost kvazigazodinamicheskoi sistemy uravnenii, giperbolichnost odnoi ee modifikatsii i ustoichivost malykh vozmuschenii dlya nikh”, Zh. vychisl. matem. i matem. fiz., 49:3 (2008), 445–472 | MR

[9] Dorodnitsyn L. V., Chetverushkin B. N., “Kineticheski soglasovannye skhemy dlya modelirovaniya techenii vyazkogo gaza”, Zh. vychisl. matem. i matem. fiz., 40:12 (2000), 1875–1889 | MR | Zbl

[10] Andreev S. S., Davydov A. A., Dbar S. A. et al., “The experience of building a sample hybrid NUMA cluster”, Distributed computing and Grid technologies in science and education, Proc. Internat. Conf. (Dubna, Russia, 2008)

[11] Quadrics shmem programming manual, http://www.quadrics.com/

[12] NVidia CUDA programming guide, ver. 2.1, http://www.nvidia.com/object/cuda home.ht

[13] Rouch P., Vychislitelnaya gidrodinamika, Mir, M., 1980 | Zbl

[14] Belov I. A., Isaev S. A., Korobkov V. A., Zadachi i metody rascheta otryvnykh techenii neszhimaemoi zhidkosti, Sudostroenie, L., 1989

[15] Elizarova T. G., Shilnikov E. V., “Analiz vychislitelnykh svoistv kvazigazodinamicheskogo algoritma na primere resheniya uravnenii Eilera”, Zh. vychisl. matem. i matem. fiz., 49:11 (2009), 1953–1969 | MR

[16] Golant V. E., Zhilinskii A. P., Sakharov I. E., Osnovy fiziki plazmy, Atomizdat, M., 1977