@Article{CiCP-19-1111, author = {Deep Ray, Praveen Chandrashekar, Ulrik S. Fjordholm and Siddhartha Mishra}, title = {Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations}, journal = {Communications in Computational Physics}, year = {2018}, volume = {19}, number = {5}, pages = {1111--1140}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.scpde14.43s}, url = {http://global-sci.org/intro/article_detail/cicp/11123.html} }