DOI: https://doi.org/10.26089/NumMet.v20r329

Comparison of a modified large-particle method with some high resolution schemes. Two-Dimensional test problems

Authors

  • D.V. Sadin
  • B.V. Belyaev
  • V.A. Davidchuk

Keywords:

large-particle method
high resolution
test problems
computational properties

Abstract

A number of computational properties of the previously proposed new modification of a large-particle method are studied on the basis of a nonlinear correction of artificial viscosity at the first (Eulerian) stage and a hybridization of fluxes at the second (Lagrangian and final) stage supplemented by a two-step Runge-Kutta algorithm in time. The method has a second order of approximation in space and time on smooth solutions. The computational efficiency of the method is shown compared to several modern high resolution schemes using the forward facing step problem and the double Mach reflection problem.

New computational technologies

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Published

2019-10-29

Issue

Vol. 20 (2019): Issue 3.

Section

Section 1. Numerical methods and applications

Author Biographies

D.V. Sadin

A.F. Mozhaysky Military Space Academy
• Professor

B.V. Belyaev

A.F. Mozhaysky Military Space Academy
• Associate Professor

V.A. Davidchuk

A.F. Mozhaysky Military Space Academy
• Adjunct

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