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

Authors

Keywords:

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

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

Author Biographies

N.S. Melnichenko

N.S. Melnichenko

References

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Published

19-06-2008

How to Cite

Богачев К., Мельниченко Н. Spatial Approximation by the Subgrid Method in the Filtration Problem for a Viscous Compressible Fluid in a Porous Medium // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2008. 9. 191-199

Issue

Section

Section 1. Numerical methods and applications

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