Abstract <p> The paper is devoted to numerical studies of a two-phase hyperbolic model describing thedynamics of hyperelastic media. The model is a generalization of the well-known multivelocityfully nonequilibrium Baer–Nunziato model widely used when describing shock-wave anddetonation processes in multiphase media. The equations of the model are given both in thegeneral and in the spatially one-dimensional cases, and its properties are described. For numericalstudy, the path-conservative HLL method is applied. The numerical study is carried using anumber of test Riemann problems on the decay of a discontinuity.</p>

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Numerical Studies of a Two-Phase Hyperelastic Model

  • I. M. Ermakov,
  • R. R. Polekhina,
  • E. B. Savenkov

摘要

Abstract

The paper is devoted to numerical studies of a two-phase hyperbolic model describing thedynamics of hyperelastic media. The model is a generalization of the well-known multivelocityfully nonequilibrium Baer–Nunziato model widely used when describing shock-wave anddetonation processes in multiphase media. The equations of the model are given both in thegeneral and in the spatially one-dimensional cases, and its properties are described. For numericalstudy, the path-conservative HLL method is applied. The numerical study is carried using anumber of test Riemann problems on the decay of a discontinuity.