Entropy Stable Schemes for Compressible Euler Equations Deep Ray and Praveen Chandrashekar

A novel numerical flux for the Euler equations which is consistent for kinetic energy and entropy condition was proposed recently [1]. This flux makes use of entropy variable based matrix dissipation which can be shown to satisfy an entropy inequality. For hypersonic flows a blended scheme is proposed which gives carbuncle free solutions for blunt body flows while still giving accurate resolution of boundary layers. Several numerical results on standard test cases using high order accurate reconstruction schemes are presented to show the performance of the new schemes.