On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows

Autor: Jesse Chan, Hendrik Ranocha, Andrés M. Rueda-Ramírez, Gregor Gassner, Tim Warburton
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Frontiers in Physics, Vol 10 (2022)
Druh dokumentu: article
ISSN: 2296-424X
DOI: 10.3389/fphy.2022.898028
Popis: High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved features. We demonstrate numerically that entropy stable Discontinuous Galerkin (DG) methods which incorporate an “entropy projection” are less likely to require additional limiting to retain positivity for certain types of flows. We conclude by investigating potential explanations for this observed improvement in robustness.
Databáze: Directory of Open Access Journals