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 Num. Meth. Prog., 2013, Volume 14, Issue 2, Pages 18–23 (Mi vmp147)

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Parallel algorithms of solving the Poisson equation using oblique cross grids in backward-facing step domains

A. M. Ryazanov, S. A. Finogenov

Nuclear Safety Institute, RAS, Moscow

Abstract: In problems of hydrodynamics for incompressible fluid, the procedure of solving the Poisson equation to determine the pressure is a main computing unit. The paper suggests a parallel implementation of the fictitious domain method for the Poisson equation in a three-dimensional backward-facing step domain. This method is based on the parallel realization of a fast algorithm for solving the Poisson equation in a parallelepiped. Some standard methods of solving this equation on the basis of the PETSc package are also considered. A comparative analysis of these two approaches is discussed using the numerical results obtained on a multiprocessor complex named “Lomonosov”.

Keywords: gas dynamics; hydrodynamics; Poisson equation; method of fictitious components; parallel computing; MPI; PETSc.

Full text: PDF file (147 kB)
UDC: 519.6

Citation: A. M. Ryazanov, S. A. Finogenov, “Parallel algorithms of solving the Poisson equation using oblique cross grids in backward-facing step domains”, Num. Meth. Prog., 14:2 (2013), 18–23

Citation in format AMSBIB
\Bibitem{RyaFin13} \by A.~M.~Ryazanov, S.~A.~Finogenov \paper Parallel algorithms of solving the Poisson equation using oblique cross grids in backward-facing step domains \jour Num. Meth. Prog. \yr 2013 \vol 14 \issue 2 \pages 18--23 \mathnet{http://mi.mathnet.ru/vmp147}