One approach to constructing a conservative difference scheme for the two-phase filtration problem
Abstract:
A numerical method for solving two-phase filtration problems is developed on the basis of the adaptive artificial viscosity method in the simulation of the continuity equation. The difference scheme developed has a second order of approximation in time and space. A numerical experiment was performed for the proposed two-phase filtration problem. Numerical calculations showed that the proposed method well traces the discontinuities of the numerical solution
