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

Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Frontiers Media S.A.
Abstract

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.

Description
Advisor
Degree
Type
Journal article
Keywords
Citation

Chan, Jesse, Ranocha, Hendrik, Rueda-Ramírez, Andrés M., et al.. "On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows." Frontiers in Physics, 10, (2022) Frontiers Media S.A.: https://doi.org/10.3389/fphy.2022.898028.

Has part(s)
Forms part of
Rights
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
Citable link to this page