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KIAM Preprint № 48, Moscow, 2020
Authors: Alekseev M.V., Savenkov E. B., Voronin F. N.
Numerical solution of Baer-Nunziato model with discontinuous Galerkin method
The paper presents the discontinuous Galerkin method for solving the equations of the Baer-Nunziato model, that describes flows in multiphase media in the framework of completely non-equilibrium formulation. The algebraic completion of the solution up to the second order is used. The monotony of the numerical scheme is ensured by the use of the WENO-S geometric limiter. The results of one-dimensional and two-dimensional test calculations are presented. Lax-Friedrichs and Rusanov flows are used as numerical fluxes. Examples of numerical calculations of one-dimensional and two-dimensional problems are given.
Baer-Nunziato model, multiphase flows, Runge-Kutta discontinuous Galerkin method
Publication language: russian,  pages: 23
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Alekseev Mikhail Vladislavovich, RAS
  • Savenkov Evgeny Borisovich, RAS
  • Voronin Fyodor Nikolaevich, RAS