A novel numerical flux for the 3D Euler equations with general equation of state

Handle URI:
http://hdl.handle.net/10754/579134
Title:
A novel numerical flux for the 3D Euler equations with general equation of state
Authors:
Toro, Eleuterio F.; Castro, Cristóbal E. ( 0000-0002-0033-6124 ) ; Bok Jik, Lee
Abstract:
Here we extend the flux vector splitting approach recently proposed in (E F Toro and M E Vázquez-Cendón. Flux splitting schemes for the Euler equations. Computers and Fluids. Vol. 70, Pages 1-12, 2012). The scheme was originally presented for the 1D Euler equations for ideal gases and its extension presented in this paper is threefold: (i) we solve the three-dimensional Euler equations on general meshes; (ii) we use a general equation of state; and (iii) we achieve high order of accuracy in both space and time through application of the semi-discrete ADER methodology on general meshes. The resulting methods are systematically assessed for accuracy, robustness and efficiency on a carefully selected suite of test problems. Formal high accuracy is assessed through convergence rates studies for schemes of up to 4th order of accuracy in both space and time on unstructured meshes.
KAUST Department:
Clean Combustion Research Center
Citation:
A novel numerical flux for the 3D Euler equations with general equation of state 2015 Journal of Computational Physics
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
Issue Date:
30-Sep-2015
DOI:
10.1016/j.jcp.2015.09.037
Type:
Article
ISSN:
00219991
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0021999115006300
Appears in Collections:
Articles; Clean Combustion Research Center

Full metadata record

DC FieldValue Language
dc.contributor.authorToro, Eleuterio F.en
dc.contributor.authorCastro, Cristóbal E.en
dc.contributor.authorBok Jik, Leeen
dc.date.accessioned2015-10-04T12:09:30Zen
dc.date.available2015-10-04T12:09:30Zen
dc.date.issued2015-09-30en
dc.identifier.citationA novel numerical flux for the 3D Euler equations with general equation of state 2015 Journal of Computational Physicsen
dc.identifier.issn00219991en
dc.identifier.doi10.1016/j.jcp.2015.09.037en
dc.identifier.urihttp://hdl.handle.net/10754/579134en
dc.description.abstractHere we extend the flux vector splitting approach recently proposed in (E F Toro and M E Vázquez-Cendón. Flux splitting schemes for the Euler equations. Computers and Fluids. Vol. 70, Pages 1-12, 2012). The scheme was originally presented for the 1D Euler equations for ideal gases and its extension presented in this paper is threefold: (i) we solve the three-dimensional Euler equations on general meshes; (ii) we use a general equation of state; and (iii) we achieve high order of accuracy in both space and time through application of the semi-discrete ADER methodology on general meshes. The resulting methods are systematically assessed for accuracy, robustness and efficiency on a carefully selected suite of test problems. Formal high accuracy is assessed through convergence rates studies for schemes of up to 4th order of accuracy in both space and time on unstructured meshes.en
dc.language.isoenen
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0021999115006300en
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, 30 September 2015. DOI: 10.1016/j.jcp.2015.09.037en
dc.subjectHyperbolic systemsen
dc.subjectUpwindingen
dc.subjectFlux vector splittingen
dc.subjectEuler equationsen
dc.subjectGeneral equation of stateen
dc.subjectADER methoden
dc.titleA novel numerical flux for the 3D Euler equations with general equation of stateen
dc.typeArticleen
dc.contributor.departmentClean Combustion Research Centeren
dc.identifier.journalJournal of Computational Physicsen
dc.eprint.versionPost-printen
dc.contributor.institutionLaboratory of Applied Mathematics, DICAM, University of Trento, Trento, Italyen
dc.contributor.institutionEscuela Universitaria de Ingeniería Mecánica, Universidad de Tarapacá, Arica, Chileen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorLee, Bok Jiken
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.