On a Difference Scheme on Triangular Meshes for Gas Dynamics Equations


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Abstract

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

About the authors

M. A. Lozhnikov

Moscow State University

Author for correspondence.
Email: lozhnikovma@gmail.com
Russian Federation, Moscow

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