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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2012 Volume 24, Number 2, Pages 17–32 (Mi mm3204)

Numerical simulation of hydrodynamics instabilities evolution on multiprocessor systems

V. S. Chevanin

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow

Abstract: An effective three-dimensional parallel algorithm using a combination of MPI and OpenMP for numerical simulation of hydrodynamic instabilities evolution on the basis of schemes of high order on multiprocessor systems with hybrid architecture has been proposed. A research of the combined techniques of parallelization in comparison with pure MPI is produced. Using the realized numerical algorithm the calculations of two typical problems of hydrodynamic instabilities evolution (Richtmyer-Meshkov and Rayleigh-Taylor) has been produced. For the problem of Rayleigh-Taylor instability a clear Kolmogorov spectrum is received.

Keywords: hydrodynamic instability, high order accuracy scheme, parallel programming, MPI, OpenMP, Richtmyer-Meshkov instabilty, Rayleigh-Taylor instabilty.

Received: 11.02.2011



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