Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hajduk, Hennes | - |
dc.contributor.author | Kuzmin, Dmitri | - |
dc.contributor.author | Aizinger, Vadym | - |
dc.date.accessioned | 2018-06-12T09:01:32Z | - |
dc.date.available | 2018-06-12T09:01:32Z | - |
dc.date.issued | 2018-06 | - |
dc.identifier.issn | 2190-1767 | - |
dc.identifier.uri | http://hdl.handle.net/2003/36906 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-18905 | - |
dc.description.abstract | Second and higher order numerical approximations of conservation laws for vector fields call for the use of limiting techniques based on generalized monotonicity criteria. In this paper, we introduce a family of directional vertexbased slope limiters for tensor-valued gradients of formally second-order accurate piecewise-linear discontinuous Galerkin (DG) discretizations. The proposed methodology enforces local maximum principles for scalar products corresponding to projections of a vector field onto the unit vectors of a frame-invariant orthogonal basis. In particular, we consider anisotropic limiters based on singular value decompositions and the Gram-Schmidt orthogonalization procedure. The proposed extension to hyperbolic systems features a sequential limiting strategy and a global invariant domain fix. The pros and cons of different approaches to vector limiting are illustrated by the results of numerical studies for the two-dimensional shallow water equations and for the Euler equations of gas dynamics. | en |
dc.language.iso | en | - |
dc.relation.ispartofseries | Ergebnisberichte des Instituts für Angewandte Mathematik;588 | de |
dc.subject | hyperbolic conservation laws | en |
dc.subject | discontinuous Galerkin methods | en |
dc.subject | vector limiters | en |
dc.subject | objectivity | en |
dc.subject | shallow water equations | en |
dc.subject | Euler equations | en |
dc.subject.ddc | 610 | - |
dc.title | Frame-invariant directional vector limiters for discontinuous Galerkin methods | en |
dc.type | Text | - |
dc.type.publicationtype | preprint | - |
dcterms.accessRights | open access | - |
eldorado.secondarypublication | false | - |
Appears in Collections: | Ergebnisberichte des Instituts für Angewandte Mathematik |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Ergebnisbericht Nr. 588.pdf | DNB | 1.67 MB | Adobe PDF | View/Open |
This item is protected by original copyright |
This item is protected by original copyright
rightsstatements.org