RUS  ENG
Full version
JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 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.

UDC: 519.684


Accepted: July 19, 2008



© Steklov Math. Inst. of RAS, 2024