Universität zu Köln

Chan, Jesse, Ranocha, Hendrik, Rueda-Ramirez, Andres M., Gassner, Gregor and Warburton, Tim ORCID: 0000-0002-3202-1151 (2022). On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows. Front. Physics, 10. LAUSANNE: FRONTIERS MEDIA SA. ISSN 2296-424X

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Chan, Jesse UNSPECIFIED UNSPECIFIED UNSPECIFIED Ranocha, Hendrik UNSPECIFIED UNSPECIFIED UNSPECIFIED Rueda-Ramirez, Andres M. UNSPECIFIED UNSPECIFIED UNSPECIFIED Gassner, Gregor UNSPECIFIED UNSPECIFIED UNSPECIFIED Warburton, Tim UNSPECIFIED orcid.org/0000-0002-3202-1151 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-677896
DOI:	10.3389/fphy.2022.898028
Journal or Publication Title:	Front. Physics
Volume:	10
Date:	2022
Publisher:	FRONTIERS MEDIA SA
Place of Publication:	LAUSANNE
ISSN:	2296-424X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FINITE-DIFFERENCE SCHEMES; BY-PARTS PROPERTY; TURBULENCE; EQUATIONS; SYSTEMS; GAUSS; DG; DISCRETIZATIONS; QUADRATURE; MHD Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/67789