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
Tastanov M.G. Utemissova A.A. Maiyer F.F. Kenzhebekova D.S. Temirbekov N.M.
2024World Scientific and Engineering Academy and Society
WSEAS Transactions on Mathematics
2024#23154 - 159 pp.
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.
Dirichlet problem , integral operator , Levy function , Markov chains , Monte Carlo method , unbiased estimation of the solution
Text of the article Перейти на текст статьи
Kostanay Regional University Named after A.Baitursynuly, Kostanay, Kazakhstan
Kostanay Regional University Named after A.Baitursynuly
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026