On an explicit scheme for filtration problem solution

B. N. Chetverushkin; D. N. Morozov; M. A. Trapeznikova; N. G. Churbanova; E. V. Shilnikov

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On an explicit scheme for filtration problem solution

B. N. Chetverushkin ; D. N. Morozov ; M. A. Trapeznikova ; N. G. Churbanova ; E. V. Shilnikov

Matematičeskoe modelirovanie, Tome 22 (2010) no. 4, pp. 99-109

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

The paper is devoted to the consideration of the different models of compressible fluid filtration. As compared to the classical equation system, the discontinuity equation is modified taking into account the minimum scale of space averaging and system internal relaxation time. Three-level explicit finite difference schemes are proposed convenient for parallel implementation. Because of changing of equation system type from parabolic to hyperbolic one, the stability requirements become softer as compared to the two-level schemes.

Keywords: flows in porous media, kinetic schemes, parabolic and hyperbolic systems of equations, three-level explicit schemes.

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     title = {On an explicit scheme for filtration problem solution},
     journal = {Matemati\v{c}eskoe modelirovanie},
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     publisher = {mathdoc},
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     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_4_a6/}
}

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B. N. Chetverushkin; D. N. Morozov; M. A. Trapeznikova; N. G. Churbanova; E. V. Shilnikov. On an explicit scheme for filtration problem solution. Matematičeskoe modelirovanie, Tome 22 (2010) no. 4, pp. 99-109. http://geodesic.mathdoc.fr/item/MM_2010_22_4_a6/