Enriched Galerkin method for the shallow-water equations

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dc.contributor.authorHauck, Moritz
dc.contributor.authorAizinger, Vadym
dc.contributor.authorFrank, Florian
dc.contributor.authorHajduk, Hennes
dc.contributor.authorRupp, Andreas
dc.date.accessioned2020-08-21T11:37:21Z
dc.date.available2020-08-21T11:37:21Z
dc.date.issued2020-04
dc.description.abstractThis work presents an enriched Galerkin (EG) discretization for the two-dimensional shallow-water equations. The EG finite element spaces are obtained by extending the approximation spaces of the classical finite elements by discontinuous functions supported on elements. The simplest EG space is constructed by enriching the piecewise linear continuous Galerkin space with discontinuous, element-wise constant functions. Similarly to discontinuous Galerkin (DG) discretizations, the EG scheme is locally conservative, while, in multiple space dimensions, the EG space is significantly smaller than that of the DG method. This implies a lower number of degrees of freedom compared to the DG method. The EG discretization presented for the shallow-water equations is well-balanced, in the sense that it preserves lake-at-rest configurations. We evaluate the method’s robustness and accuracy using various analytical and realistic benchmarks and compare the results to those obtained using the DG method. Finally, we briefly discuss implementation aspects of the EG method within our MATLAB / GNU Octave framework FESTUNG.en
dc.identifier.issn2190-1767
dc.identifier.urihttp://hdl.handle.net/2003/39242
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-21159
dc.language.isoen
dc.relation.ispartofseriesErgebnisberichte des Instituts für Angewandte Mathematik;630
dc.relation.replaceshttp://hdl.handle.net/2003/39095
dc.subjectenriched Galerkinen
dc.subjectocean modelingen
dc.subjectlocal conservationen
dc.subjectdiscontinuous Galerkinen
dc.subjectshallow-water equationsen
dc.subjectfinite elementsen
dc.subject.ddc610
dc.subject.rswkFinite Elementede
dc.subject.rswkGalerkin-Methodede
dc.titleEnriched Galerkin method for the shallow-water equationsen
dc.typeText
dc.type.publicationtypepreprint
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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