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Zh. Vychisl. Mat. Mat. Fiz., 2019, Volume 59, Number 1, Pages 143–157 (Mi zvmmf10824)  

Simulating flows of viscous incompressible fluid on graphics processors using the splitting scheme and multigrid method

K. N. Volkova, V. N. Emelyanova, A. G. Karpenkob, I. V. Teterinaa

a St. Petersburg Baltic Technical University, St. Petersburg, 190005 Russia
b St. Petersburg State University, St. Petersburg, 198504 Russia

Abstract: The use of general purpose graphics processors for the numerical solution of problems in dynamics of viscous incompressible fluid is discussed. Specific features of the parallel implementation of the splitting scheme (projection method) are considered. The system of difference equations produced by the discretization of Poisson's equations for pressure is solved using the multigrid method. A number of benchmark problems are solved on graphics processors, and approaches to the optimization of program code by using different memory types are discussed. The speedup of computations on graphics processors is compared with the computations on the central processor using grids with different resolution and different decompositions of the initial data into blocks.

Key words: graphics processor, parallel algorithm, viscous fluid, multigrid method, splitting scheme.

Funding Agency Grant Number
Russian Foundation for Basic Research 13-07-12079
16-38-60142
This study was supported by the Russian Foundation for Basic Research, project no. 13-07-12079 and 16-38-60142. The work by A.G. Karpenko was supported by the Russian Foundation for Basic Research, project no. 16-38-60142.


DOI: https://doi.org/10.1134/S0044466919010162


English version:
Computational Mathematics and Mathematical Physics, 2019, 59:1, 136–149

Bibliographic databases:

UDC: 519.65
Received: 05.02.2018
Revised: 12.03.2018

Citation: K. N. Volkov, V. N. Emelyanov, A. G. Karpenko, I. V. Teterina, “Simulating flows of viscous incompressible fluid on graphics processors using the splitting scheme and multigrid method”, Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019), 143–157; Comput. Math. Math. Phys., 59:1 (2019), 136–149

Citation in format AMSBIB
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\vol 59
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\pages 143--157
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\crossref{https://doi.org/10.1134/S0044466919010162}
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