This article is cited in 3 papers

Equivalent numerical schemes for the first and second order gas dynamics equations

N. S. Bochkarev

SRC RF TRINITI

Abstract: In the paper on the example of explicit scheme for the system of second order gas dynamics nonlinear wave equations (NWE) equivalent scheme for the system of first order gas dynamics equations (GDE) is constructed. Equivalent schemes have great value to obtain initial data for NWE-schemes and for the investigation of their numerical properties.

Keywords: Lagrange variables, gas dynamics equations, nonlinear wave equations, finite difference schemes, particles and points methods.

UDC: 519.711.3

Received: 14.12.2012

 English version: Mathematical Models and Computer Simulations, 2013, 5:6, 534–537

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