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KIAM Preprint  69, Moscow, 2017
Authors: Popov I. V., Poveschenko Y. A., Polyakov S. V., Rahimli P.I.
One approach to constructing a conservative difference scheme for the two-phase filtration problem
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
difference scheme, adaptive artificial viscosity, advection, filtration problem, mathematical modeling
Publication language: russian,  pages: 12
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Popov Igor Viktorovich, RAS
  • Poveschenko Yuri Andreevich, RAS
  • Polyakov Sergey Vladimirovich, RAS
  • Rahimli Parvin Ilgar kizi,