Experimental Studies of Difference Gas Dynamics Models with Shock Waves

S. K. Godunov, D. V. Klyuchinskii, S. V. Fortova, V. V. Shepelev

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

A linearized version of the classical Godunov scheme as applied to nonlinear discontinuity decays is described. It is experimentally shown that this version guarantees an entropy nondecrease, which makes it possible to simulate entropy growth on shock waves. The structure of shock waves after the discontinuity decays is studied. It is shown that the width of the shock waves and the time required for their formation depend on the choice of the Courant number. The accuracy of the discontinuous solutions is tested numerically.

Original languageEnglish
Pages (from-to)1201-1216
Number of pages16
JournalComputational Mathematics and Mathematical Physics
Volume58
Issue number8
DOIs
Publication statusPublished - 1 Aug 2018

Keywords

  • discontinuous solutions
  • gas dynamics equations
  • Godunov’s scheme
  • Riemann problem
  • shock waves
  • RIEMANN SOLVERS
  • Godunov's scheme
  • SCHEMES

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