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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2008, Number 2(3), Pages 39–46 (Mi vtgu97)  

MATHEMATICS

On the Question of $3D$ Decomposition Efficiency for the Numerical Solution of Transport Equation with the Use of Multiprocessor Computer with Distributed Memory

E. A. Danilkin

Tomsk State University, Faculty of Mechanics and Mathematics
Abstract: This paper is devoted to comparison of various ways of decomposition for the numerical solution of transport equation by finite volume method. The preliminary theoretical analysis of transfer costs of a data and numerical experiment with the use of multiprocessor computer TGU SKIF Cyberia were conducted. The investigation has shown that $3D$ decomposition does not give a gain in time in comparison with $2D$ decomposition, at least, for the quantity of processors which is not exceeding 250.
Keywords: geometric decomposition, mathematical modelling, parallel computations.

Accepted: July 19, 2008
Document Type: Article
UDC: 519.684
Language: Russian
Citation: E. A. Danilkin, “On the Question of $3D$ Decomposition Efficiency for the Numerical Solution of Transport Equation with the Use of Multiprocessor Computer with Distributed Memory”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2008, no. 2(3), 39–46
Citation in format AMSBIB
\Bibitem{Dan08}
\by E.~A.~Danilkin
\paper On the Question of $3D$~Decomposition Efficiency for the Numerical Solution of Transport Equation with the Use of Multiprocessor Computer with Distributed Memory
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2008
\issue 2(3)
\pages 39--46
\mathnet{http://mi.mathnet.ru/vtgu97}
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    Вестник Томского государственного университета. Математика и механика
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