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Article: Conservative Averaging-reconstruction Techniques (ring Average) For 3-d Finite-volume Mhd Solvers With Axis Singularity

TitleConservative Averaging-reconstruction Techniques (ring Average) For 3-d Finite-volume Mhd Solvers With Axis Singularity
Authors
Issue Date2018
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp
Citation
Journal of Computational Physics, 2018 How to Cite?
AbstractIn cylindrical/spherical geometries, MHD solvers using explicit finite-volume methods face restrictive time steps imposed by the CFL condition due to the clustering of cells in the azimuthal direction near the pole/axis. We use a conservative averaging-reconstruction method (Ring Average) on structured cylindrical/spherical mesh to remove this severe time step restriction for multi-dimensional curvilinear finite-volume MHD solvers. The Ring Average technique is implemented as a post-processing step and thus requires no changes to the existing data structure, grid definition or numerical methods in the original MHD solver. This paper describes the Ring Average algorithm and presents simulation results using field loop advection and MHD blast waves in cylindrical/spherical geometries for validation. The algorithm is shown to be inexpensive and easily implemented in existing curvilinear finite-volume MHD solvers.
Persistent Identifierhttp://hdl.handle.net/10722/260318
ISSN
2015 Impact Factor: 2.556
2015 SCImago Journal Rankings: 2.167

 

DC FieldValueLanguage
dc.contributor.authorZhang, B-
dc.contributor.authorSorathia, K-
dc.contributor.authorLyon, J-
dc.date.accessioned2018-09-14T08:39:39Z-
dc.date.available2018-09-14T08:39:39Z-
dc.date.issued2018-
dc.identifier.citationJournal of Computational Physics, 2018-
dc.identifier.issn0021-9991-
dc.identifier.urihttp://hdl.handle.net/10722/260318-
dc.description.abstractIn cylindrical/spherical geometries, MHD solvers using explicit finite-volume methods face restrictive time steps imposed by the CFL condition due to the clustering of cells in the azimuthal direction near the pole/axis. We use a conservative averaging-reconstruction method (Ring Average) on structured cylindrical/spherical mesh to remove this severe time step restriction for multi-dimensional curvilinear finite-volume MHD solvers. The Ring Average technique is implemented as a post-processing step and thus requires no changes to the existing data structure, grid definition or numerical methods in the original MHD solver. This paper describes the Ring Average algorithm and presents simulation results using field loop advection and MHD blast waves in cylindrical/spherical geometries for validation. The algorithm is shown to be inexpensive and easily implemented in existing curvilinear finite-volume MHD solvers.-
dc.languageeng-
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp-
dc.relation.ispartofJournal of Computational Physics-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.titleConservative Averaging-reconstruction Techniques (ring Average) For 3-d Finite-volume Mhd Solvers With Axis Singularity-
dc.typeArticle-
dc.identifier.emailZhang, B: binzh@hku.hk-
dc.identifier.authorityZhang, B=rp02366-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.jcp.2018.08.020-
dc.identifier.hkuros290268-
dc.publisher.placeUnited States-

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