# Research reports

## Entropy stable schemes on two-dimensional unstructured grids

### by D. Ray and P. Chandrashekar and U. Fjordholm and S. Mishra

(Report number 2014-28)

Abstract
We propose an entropy stable high-resolution finite volume scheme to approximate systems of two-dimensional symmetrizable conservation laws on unstructured grids. The scheme is constructed using a judicious combination of entropy conservative fluxes and entropy-stable numerical dissipation operators. High resolution is achieved based on a piecewise linear reconstruction procedure satisfying a suitable sign property. The proposed scheme is demonstrated to robustly approximate complex flow features by a series of benchmark numerical experiments.

Keywords: system of conservation laws; entropy stability; unstructured meshes; Euler equations

BibTeX
@Techreport{RCFM14_578,
author = {D. Ray and P. Chandrashekar and U. Fjordholm and S. Mishra},
title = {Entropy stable schemes on two-dimensional unstructured grids},
institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
number = {2014-28},