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Num. Meth. Prog., 2008, Volume 9, Issue 3, Pages 191–199 (Mi vmp433)  

Вычислительные методы и приложения

Spatial approximation by the subgrid method in the filtration problem for a viscous compressible fluid in a porous medium

K. Yu. Bogachev, N. S. Melnichenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The filtration problem for a viscous compressible multiphase fluid mixture in an anisotropic porous medium is considered. For this problem, the spatial approximation is discussed in the case of nonorthogonal unstructured grids. A new method of multipoint approximation is proposed. This method is free from the following defects of other similar methods: the orientation effect and the appearance of nonphysical fluxes. Some numerical results obtained on the basis of realistic problems are given.

Keywords: linear systems, subgrid method, fluid filtration, control-volume method, parallel computing.

Full text: PDF file (323 kB)
UDC: 519.6

Citation: K. Yu. Bogachev, N. S. Melnichenko, “Spatial approximation by the subgrid method in the filtration problem for a viscous compressible fluid in a porous medium”, Num. Meth. Prog., 9:3 (2008), 191–199

Citation in format AMSBIB
\Bibitem{BogMel08}
\by K.~Yu.~Bogachev, N.~S.~Melnichenko
\paper Spatial approximation by the subgrid method in the filtration problem for a viscous compressible fluid in a porous medium
\jour Num. Meth. Prog.
\yr 2008
\vol 9
\issue 3
\pages 191--199
\mathnet{http://mi.mathnet.ru/vmp433}


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