Two Decades Old Entropy Stable Method for the Euler Equations Revisited

Authors

Björn Sjögreen, Multid Analyses AB
H. C. Yee, NASA Ames Research Center

Date of this Version

2018

Citation

S. J. Sherwin et al. (eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018, Lecture Notes in Computational Science and Engineering 134, https://doi.org/10.1007/978-3-030-39647-3_21

Comments

Open access.

Abstract

The two decades old high order central differencing via entropy splitting and summation-by-parts (SBP) difference closure of Olsson and Oliger, Gerritsen and Olsson, and Yee et al. [2, 7, 25] is revisited. The entropy splitting is a form of skewsymmetric splitting in terms of the physical entropy of the nonlinear Euler flux derivatives. Central differencing applied to the entropy splitting form of the Euler flux derivatives together with SBP difference operators will, hereafter, be referred to as entropy split schemes.