Geodesic
Numerical simulation of hydrodynamics instabilities evolution on multiprocessor systems
Matematičeskoe modelirovanie, Tome 24 (2012) no. 2, pp. 17-32

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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. 
@article{MM_2012_24_2_a1,
     author = {V. S. Chevanin},
     title = {Numerical simulation of hydrodynamics instabilities evolution on multiprocessor systems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {17--32},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_2_a1/}
}
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V. S. Chevanin. Numerical simulation of hydrodynamics instabilities evolution on multiprocessor systems. Matematičeskoe modelirovanie, Tome 24 (2012) no. 2, pp. 17-32. http://geodesic.mathdoc.fr/item/MM_2012_24_2_a1/