Universität zu Köln

Kopriva, David A. ORCID: 0000-0002-7416-6551, 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:	Creators Email ORCID ORCID Put Code Kopriva, David A. UNSPECIFIED orcid.org/0000-0002-7416-6551 UNSPECIFIED Hindenlang, Florian J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Bolemann, Thomas UNSPECIFIED UNSPECIFIED UNSPECIFIED Gassner, Gregor J. UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Biology > Botanical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ORDER; GENERATION; SCHEMES Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/14704