dc.date.accessioned | 2020-02-10T19:45:23Z | |
dc.date.available | 2020-02-10T19:45:23Z | |
dc.date.created | 2018-12-02T20:21:16Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Hiltebrand, Andreas Mishra, Siddhartha Parés, Carlos . Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Mathematical Modelling and Numerical Analysis. 2018, 52(3), 995-1022 | |
dc.identifier.uri | http://hdl.handle.net/10852/72949 | |
dc.description.abstract | We propose a space–time discontinuous Galerkin (DG) method to approximate multi-dimensional non-conservative hyperbolic systems. The scheme is based on a particular choice of interface fluctuations. The key difference with existing space–time DG methods lies in the fact that our scheme is formulated in entropy variables, allowing us to prove entropy stability for the method. Additional numerical stabilization in the form of streamline diffusion and shock-capturing terms are added. The resulting method is entropy stable, arbitrary high-order accurate, fully discrete, and able to handle complex domain geometries discretized with unstructured grids. We illustrate the method with representative numerical examples. | en_US |
dc.language | EN | |
dc.title | Entropy-stable space-time DG schemes for non-conservative hyperbolic systems | en_US |
dc.type | Journal article | en_US |
dc.creator.author | Hiltebrand, Andreas | |
dc.creator.author | Mishra, Siddhartha | |
dc.creator.author | Parés, Carlos | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 1638193 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical Modelling and Numerical Analysis&rft.volume=52&rft.spage=995&rft.date=2018 | |
dc.identifier.jtitle | Mathematical Modelling and Numerical Analysis | |
dc.identifier.volume | 52 | |
dc.identifier.issue | 3 | |
dc.identifier.startpage | 995 | |
dc.identifier.endpage | 1022 | |
dc.identifier.doi | https://doi.org/10.1051/m2an/2017056 | |
dc.identifier.urn | URN:NBN:no-76054 | |
dc.type.document | Tidsskriftartikkel | en_US |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0764-583X | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/72949/1/Hiltebrand_Mishra_Pares_M2AN.pdf | |
dc.type.version | PublishedVersion | |