Kopriva, David A., Winters, Andrew R., Bohm, Marvin and Gassner, Gregor J. (2016). A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes. Comput. Fluids, 139. S. 148 - 161. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. ISSN 1879-0747

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Abstract

We design a novel provably stable discontinuous Galerkin spectral element (DGSEM) approximation to solve systems of conservation laws on moving domains. To incorporate the motion of the domain, we use an arbitrary Lagrangian-Eulerian formulation to map the governing equations to a fixed reference domain. The approximation is made stable by a discretization of a skew-symmetric formulation of the problem. We prove that the discrete approximation is stable, conservative and, for constant coefficient problems, maintains the free-stream preservation property. We also provide details on how to add the new skew symmetric ALE approximation to an existing discontinuous Galerkin spectral element code. Lastly, we provide numerical support of the theoretical results. (C) 2016 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Kopriva, David A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Winters, Andrew R.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Bohm, MarvinUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Gassner, Gregor J.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-255847
DOI: 10.1016/j.compfluid.2016.05.023
Journal or Publication Title: Comput. Fluids
Volume: 139
Page Range: S. 148 - 161
Date: 2016
Publisher: PERGAMON-ELSEVIER SCIENCE LTD
Place of Publication: OXFORD
ISSN: 1879-0747
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
HIGH-ORDER; SCATTERING; SURFACESMultiple languages
Computer Science, Interdisciplinary Applications; MechanicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/25584

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