On a difference scheme on triangular meshes for gas dynamics equations

M. A. Lozhnikov

Lomonosov Moscow State University

Abstract: The paper suggests a difference scheme for the equations of isentropic ideal gas on triangular meshes. The scheme satisfies the mass conservation law and guarantees positiveness of the density function. The solution of the scheme satisfies the energy inequality. The solution of the scheme is proven to exist.

Keywords: gas dynamics, difference schemes, unstructured meshes, positive density.

Received: 03.04.2018
Revised: 03.04.2018
Accepted: 14.05.2018

DOI: 10.1134/S0234087919010015

 English version: Mathematical Models and Computer Simulations, 2019, 11:5, 649–666

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