An algorithm for solving the problem of two-phase filtration of incompressible fluids in the 2-dimensional formulation

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Abstract

Under consideration is some mathematical model of two-phase filtration of incompressible fluids that accounts for the capillary pressure. For this model, we construct a monotone balance difference scheme, propose an efficient implementation, and test it in computational trials including those at the cluster MVS-1000.

Keywords

Capillary Pressure Conjugate Gradient Method Precondition Conjugate Gradient Incompressible Fluid Precondition Conjugate Gradient Method 

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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Institute of Computational Mathematics and Mathematical GeophysicsNovosibirskRussia

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