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Дата изменения: Thu Jun 19 16:11:44 2008
Дата индексирования: Mon Oct 1 22:43:16 2012
Кодировка:
"Spatial approximation by the subgrid method in the filtration problem for a viscous compressible fluid in a porous medium"  
"Spatial approximation by the subgrid method in the filtration problem for a viscous compressible fluid in a porous medium"
Bogachev K.Yu., Melnichenko N.S.

     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.

Key words: linear systems, subgrid method, fluid filtration, control-volume method, parallel computing

Bogachev K.Yu., Melnichenko N.S.     e-mail: bogachev@mech.math.msu.su