Computation of Traveling Waves in a Heterogeneous Medium with Two Pressures and a Gas Equation of State Depending on Phase Concentrations

  • I. A. Bedarev
  • A. V. Fedorov
  • A. V. Shul’gin
Article

Abstract

A fine structure theory of shock waves occurring in a gas–particle mixture was developed using an Anderson-type model with allowance for different phase pressures and with an equation of state for the gas component depending on the mean densities of both phases. The conditions for the formation of various types of shock waves based on the different speeds of sound in the phases were indicated. A high-order accurate TVD scheme was developed to prove the stability of some types of shock waves. The scheme was used to implement steadily propagating shock waves found in the stationary approximation, namely, shock waves of dispersive, frozen, and dispersive-frozen structures with one or two fronts.

Keywords

heterogeneous media with high particle concentrations shock wave structure numerical methods 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • I. A. Bedarev
    • 1
  • A. V. Fedorov
    • 1
  • A. V. Shul’gin
    • 1
  1. 1.Khristianovich Institute of Theoretical and Applied Mechanics, Siberian BranchRussian Academy of SciencesNovosibirskRussia

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