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
Full text not available from this repository.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 | ||||||||||||||||||||
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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 | ||||||||||||||||||||
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Refereed: | Yes | ||||||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/25584 |
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