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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
Abstract:
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.
Keywords:
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
Russian source text:
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About authors:
  • Alekseev Mikhail Vladislavovich,  orcid.org/0000-0003-0231-6095KIAM RAS
  • Savenkov Evgeny Borisovich,  orcid.org/0000-0003-3363-7043KIAM RAS
  • Voronin Fyodor Nikolaevich,  orcid.org/0000-0003-2649-0469KIAM RAS