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Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering.
2010 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 45, no 1-3, 118-150 p.Article in journal (Refereed) Published
Abstract [en]

A general interface procedure is presented for multi-domain collocation methods satisfying the summation-by-parts (SBP) spatial discretization convention. Unlike more traditional operators (e.g. FEM) applied to the advection-diffusion equation, the new procedure penalizes the solution and the first p derivatives across the interface. The combined interior/interface operators are proven to be pointwise stable, and conservative, although accuracy deteriorates for pa parts per thousand yen2. Penalties between two different sets of variables are compared (motivated by FEM primal and flux formulations), and are shown to be equivalent for certain choices of penalty parameters. Extensive validation studies are presented using two classes of high-order SBP operators: (1) central finite difference, and (2) Legendre spectral collocation.

Place, publisher, year, edition, pages
2010. Vol. 45, no 1-3, 118-150 p.
Keyword [en]
Summation-by-parts (SBP), High-order finite difference, Finite element, DG, Numerical stability, Interface conditions, Conservation, Applied and numerical mathematics
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-26825DOI: 10.1007/s10915-009-9301-5ISI: 000281250600007Scopus ID: 2-s2.0-77956187008OAI: oai:DiVA.org:kth-26825DiVA: diva2:375182
Note
QC 20101207Available from: 2010-12-07 Created: 2010-11-29 Last updated: 2012-03-22Bibliographically approved

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