This article is cited in 16 papers

Analog of kinetically consistent schemes for simulation of a filtration problem

M. A. Trapeznikova^a, M. S. Belotserkovska^b, B. N. Chetverushkin<sup>a

a</sup> Institute for Mathematical Modelling, Russian Academy of Sciences
^b M. V. Lomonosov Moscow State University

Abstract: A new filtration model is proposed. It is derived using the experience of constructing the kinetically consistent difference schemes and the quasy gas dynamics system of equations. The equation of continuity is modified taking into account the reference scale of averaging at which the microstructure of a filtration medium is unessential. Test predictions based on the new model are presented.

Received: 08.02.2001

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