NUMERICAL SIMULATION OF THE TWO-PHASE FILTRATION PROCESS WITH AN ACTIVE IMPURITY

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Abstract

A comparative analysis of the accuracy of the CABARET (second-order) scheme with the WENO5 and A-WENO (fifth-order in space and fourth-order in time) schemes is carried out when calculating various Riemann problems for a non-convex system of conservation laws of a two-phase filtration model with an active impurity. It is shown that when calculating these problems, the CABARET scheme has significantly higher accuracy compared to the WENO schemes, especially in those areas of precise solution where centered rarefaction waves are adjacent to shock waves.

About the authors

T. S Sharifullina

M. A. Lavrentiev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences

Email: tatiana_06.08@mail.ru
Novosibirsk

A. A Cherevko

M. A. Lavrentiev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences

Email: cherevko@mail.ru
Novosibirsk

V. V Ostapenko

M. A. Lavrentiev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences

Email: ostigil@mail.ru
Novosibirsk

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