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Kopriva, David A. and Gassner, Gregor J. ORCID: 0000-0002-1752-1158 (2021). A Split-Form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. Technical Report.

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Abstract

We present a hybrid continuous and discontinuous Galerkin spectral element approximation that leverages the advantages of each approach. The continuous Galerkin approximation is used on interior element faces where the equation properties are continuous. A discontinuous Galerkin approximation is used at physical boundaries and if there is a jump in properties at a face. The approximation uses a split form of the equations and two-point fluxes to ensure stability for unstructured quadrilateral/hexahedral meshes with curved elements. The approximation is also conservative and constant state preserving on such meshes. Spectral accuracy is obtained for all examples, which include wave scattering at a discontinuous medium boundary.

Item Type:	Preprints, Working Papers or Reports (Technical Report)
Creators:	Creators Email ORCID ORCID Put Code Kopriva, David A. kopriva@math.fsu.edu UNSPECIFIED UNSPECIFIED Gassner, Gregor J. ggassner@uni-koeln.de orcid.org/0000-0002-1752-1158 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-535475
Series Name at the University of Cologne:	Technical report series. Center for Data and Simulation Science
Volume:	2021-07
Date:	6 October 2021
Language:	English
Faculty:	Central Institutions / Interdisciplinary Research Centers
Divisions:	Center for Data and Simulation Science
Subjects:	Natural sciences and mathematics Mathematics Technology (Applied sciences)
Uncontrolled Keywords:	Keywords Language Discontinuous Galerkin English Continuous Galerkin English Linear wave English
Refereed:	No
URI:	http://kups.ub.uni-koeln.de/id/eprint/53547