Kopriva, David A., Hindenlang, Florian J., Bolemann, Thomas and Gassner, Gregor J. (2019). Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements. J. Sci. Comput., 79 (3). S. 1389 - 1409. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

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Abstract

The under integration of the volume terms in the discontinuous Galerkin spectral element approximation introduces errors at non-conforming element faces that do not cancel and lead to free-stream preservation errors. We derive volume and face conditions on the geometry under which a constant state is preserved. From those, we catalog eight constraints on the geometry that preserve a constant state. Numerical examples are presented to illustrate the results.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Kopriva, David A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Hindenlang, Florian J.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Bolemann, ThomasUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Gassner, Gregor J.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-147047
DOI: 10.1007/s10915-018-00897-9
Journal or Publication Title: J. Sci. Comput.
Volume: 79
Number: 3
Page Range: S. 1389 - 1409
Date: 2019
Publisher: SPRINGER/PLENUM PUBLISHERS
Place of Publication: NEW YORK
ISSN: 1573-7691
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
ORDER; GENERATION; SCHEMESMultiple languages
Mathematics, AppliedMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/14704

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