A Cartesian grid method for the numerical modeling of shock wave propagation in domains of complex shape

Authors

  • D.A. Sidorenko Institute for Design Automation of RAS (IAP RAS)
  • P.S. Utkin Institute for Design Automation of RAS (IAP RAS)

DOI:

https://doi.org/10.26089/NumMet.v17r433

Keywords:

mathematical modeling, gas dynamics, shock wave, Godunov method, Cartesian grid method

Abstract

This paper is devoted to the development, software implementation, and quantitative estimation of a numerical algorithm based on the Cartesian grid method for the mathematical modeling of shock wave propagation in domains of complex shape with curvilinear boundaries. A detailed description of an algorithm based on the method of «h-boxes» is given. The efficiency of the algorithm is analyzed on the problems of regular and single Mach reflection of a shock wave from a wedge as well as on the problem of shock wave/cylinder interaction.

Author Biographies

D.A. Sidorenko

P.S. Utkin

References

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Published

29-08-2016

How to Cite

Сидоренко Д., Уткин П. A Cartesian Grid Method for the Numerical Modeling of Shock Wave Propagation in Domains of Complex Shape // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2016. 17. 353-364. doi 10.26089/NumMet.v17r433

Issue

Section

Section 1. Numerical methods and applications