dc.contributor.author | Prebeg, Marin | |
dc.contributor.author | Flåtten, Tore Halsne | |
dc.contributor.author | Müller, Bernhard | |
dc.date.accessioned | 2019-12-13T13:31:50Z | |
dc.date.available | 2019-12-13T13:31:50Z | |
dc.date.created | 2017-12-20T16:55:16Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Mathematical Modelling and Numerical Analysis. 2018, 52 (4), 1239-1260. | nb_NO |
dc.identifier.issn | 0764-583X | |
dc.identifier.uri | http://hdl.handle.net/11250/2633263 | |
dc.description.abstract | We present Large Time Step (LTS) extensions of the Harten-Lax-van Leer (HLL) and Harten-Lax-van Leer-Contact (HLLC) schemes. Herein, LTS denotes a class of explicit methods stable for Courant numbers greater than one. The original LTS method (R.J. LeVeque, SIAM J. Numer. Anal. 22 (1985) 1051–1073) was constructed as an extension of the Godunov scheme, and successive versions have been developed in the framework of Roe's approximate Riemann solver. In this paper, we formulate the LTS extension of the HLL and HLLC schemes in conservation form. We provide explicit expressions for the flux-difference splitting coefficients and the numerical viscosity coefficients of the LTS-HLL scheme. We apply the new schemes to the one-dimensional Euler equations and compare them to their non-LTS counterparts. As test cases, we consider the classical Sod shock tube problem and the Woodward-Colella blast-wave problem. We numerically demonstrate that for the right choice of wave velocity estimates both schemes calculate entropy satisfying solutions. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | EDP Sciences | nb_NO |
dc.subject | Large time step | nb_NO |
dc.subject | HLL | nb_NO |
dc.subject | HLLC | nb_NO |
dc.subject | Euler equations | nb_NO |
dc.subject | Riemann solver | nb_NO |
dc.title | Large time step HLL and HLLC schemes | nb_NO |
dc.title.alternative | Large time step HLL and HLLC schemes | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.rights.holder | © EDP Sciences, SMAI 2018 | nb_NO |
dc.source.pagenumber | 1239-1260 | nb_NO |
dc.source.volume | 52 | nb_NO |
dc.source.journal | Mathematical Modelling and Numerical Analysis | nb_NO |
dc.source.issue | 4 | nb_NO |
dc.identifier.doi | 10.1051/m2an/2017051 | |
dc.identifier.cristin | 1530637 | |
cristin.unitcode | 7401,80,0,0 | |
cristin.unitname | SINTEF Materialer og kjemi | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |