Article · WSEAS TRANSACTIONS ON MATHEMATICS · March 8, 2024
On Solving the Regular Problem of Two-Phase Filtration Taking Into Account The Energy and one Model Problem of Filtration in Potentials by Monte Carlo Methods
Мейрамбек Габдулиевич Тастанов, Anar A. Utemissova, Fedor F. Maiyer, D. S. Kenzhebekova, Nurlan Temirbekov
Abstract
It should be noted that in some practical tasks, it is impossible not to take into account the temperature change. In this case, the energy equation should be added to the filtration equations. The algorithms of «random walk by spheres» and «random walk along boundaries» of Monte Carlo methods are used to solve regular degenerate filtration problems of two immiscible inhomogeneous incompressible liquids in a porous medium. The derivatives of the solution are evaluated using Monte Carlo methods. A model problem of filtration of a two-phase incompressible liquid with capillary forces is considered.
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