TY - JOUR
T1 - Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations
AU - Deep Ray, Praveen Chandrashekar, Ulrik S. Fjordholm & Siddhartha Mishra
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 - <p style="text-align: justify;">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.</p>