Kopriva, David A., Gassner, Gregor J. and Nordstrom, Jan (2022). On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws. J. Comput. Phys., 471. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716
Full text not available from this repository.Abstract
We derive entropy conserving and entropy dissipative overlapping domain formulations for systems of nonlinear hyperbolic equations in conservation form, such as would be approximated by overset mesh methods. The entropy conserving formulation imposes a two-way coupling at the artificial interface boundaries through nonlinear penalty functions that vanish when the solutions coincide. The penalty functions are expressed in terms of entropy conserving fluxes originally introduced for finite volume schemes. In addition to the interface coupling, which is required, entropy dissipation and coupling can optionally be added through the use of linear penalties within the overlap region.(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Item Type: | Journal Article | ||||||||||||||||
Creators: |
|
||||||||||||||||
URN: | urn:nbn:de:hbz:38-685409 | ||||||||||||||||
DOI: | 10.1016/j.jcp.2022.111620 | ||||||||||||||||
Journal or Publication Title: | J. Comput. Phys. | ||||||||||||||||
Volume: | 471 | ||||||||||||||||
Date: | 2022 | ||||||||||||||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||||||||||||||
Place of Publication: | SAN DIEGO | ||||||||||||||||
ISSN: | 1090-2716 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
Uncontrolled Keywords: |
|
||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/68540 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |