Volume 19, Issue 5
Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

Deep Ray ,  Praveen Chandrashekar ,  Ulrik S. Fjordholm and Siddhartha Mishra

10.4208/cicp.scpde14.43s

Commun. Comput. Phys., 19 (2016), pp. 1111-1140.

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  • Abstract

We propose an entropy stable high-resolution finite volume scheme to approximate systems of two-dimensional symmetrizable conservation laws on unstructured grids. In particular we consider Euler equations governing compressible flows. The scheme is constructed using a combination of entropy conservative fluxes and entropy-stable numerical dissipation operators. High resolution is achieved based on a linear reconstruction procedure satisfying a suitable sign property that helps to maintain entropy stability. The proposed scheme is demonstrated to robustly approximate complex flow features by a series of benchmark numerical experiments.

  • History

Published online: 2018-04

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