Universität zu Köln

Fernandez, David C. Del Rey, Carpenter, Mark H., Dalcin, Lisandro, Fredrich, Lucas, Winters, Andrew R., Gassner, Gregor J. and Parsani, Matteo ORCID: 0000-0001-7300-1280 (2020). Entropy-stable p-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations. Comput. Fluids, 210. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. ISSN 1879-0747

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Abstract

The entropy-conservative/stable, curvilinear, nonconforming, p-refinement algorithm for hyperbolic conservation laws of Del Rey Fernandez et al. (2019) is extended from the compressible Euler equations to the compressible Navier-Stokes equations. A simple and flexible coupling procedure with planar interpolation operators between adjoining nonconforming elements is used. Curvilinear volume metric terms are numerically approximated via a minimization procedure and satisfy the discrete geometric conservation law conditions. Distinct curvilinear surface metrics are used on the adjoining interfaces to construct the interface coupling terms, thereby localizing the discrete geometric conservation law constraints to each individual element. The resulting scheme is entropy conservative/stable, element-wise conservative, and freestream preserving. Viscous interface dissipation operators that retain the entropy stability of the base scheme are developed. The accuracy and stability of the resulting numerical scheme are shown to be comparable to those of the original conforming scheme in Carpenter et al. (2014) and Parsani et al. (2016), i.e., this scheme achieves similar to p 1/2 convergence on geometrically high-order distorted element grids; this is demonstrated in the context of the viscous shock problem, the Taylor-Green vortex problem at a Reynolds number of Re = 1, 600, and a subsonic turbulent flow past a sphere at Re = 2, 000. (C) 2020 Published by Elsevier Ltd.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fernandez, David C. Del Rey UNSPECIFIED UNSPECIFIED UNSPECIFIED Carpenter, Mark H. UNSPECIFIED UNSPECIFIED UNSPECIFIED Dalcin, Lisandro UNSPECIFIED UNSPECIFIED UNSPECIFIED Fredrich, Lucas UNSPECIFIED UNSPECIFIED UNSPECIFIED Winters, Andrew R. UNSPECIFIED UNSPECIFIED UNSPECIFIED Gassner, Gregor J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Parsani, Matteo UNSPECIFIED orcid.org/0000-0001-7300-1280 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-314974
DOI:	10.1016/j.compfluid.2020.104631
Journal or Publication Title:	Comput. Fluids
Volume:	210
Date:	2020
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD
Place of Publication:	OXFORD
ISSN:	1879-0747
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DISCONTINUOUS GALERKIN SCHEMES; NONLINEAR CONSERVATION-LAWS; FINITE-DIFFERENCE SCHEMES; SHALLOW-WATER EQUATIONS; BOUNDARY-CONDITIONS; GRID INTERFACES; EULER EQUATIONS; IDEAL MHD; ORDER; OPERATORS Multiple languages Computer Science, Interdisciplinary Applications; Mechanics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/31497