TY - JOUR T1 - Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations JO - Communications in Computational Physics VL - 5 SP - 1111 EP - 1140 PY - 2018 DA - 2018/04 SN - 19 DO - http://doi.org/10.4208/cicp.scpde14.43s UR - https://global-sci.org/intro/article_detail/cicp/11123.html KW - AB -

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.