Central finite volume methods for ideal and shallow water magnetohydrodynamics

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dc.contributor.author Touma, R.
dc.contributor.author Arminjon, Paul
dc.date.accessioned 2016-04-07T09:35:02Z
dc.date.available 2016-04-07T09:35:02Z
dc.date.copyright 2010
dc.date.issued 2016-04-07
dc.identifier.issn 0271-2091 en_US
dc.identifier.uri http://hdl.handle.net/10725/3510
dc.description.abstract We propose two-dimensional central finite volume methods based on our multidimensional extensions of Nessyahu and Tadmor's one-dimensional non-oscillatory central scheme and a constrained transport-type method to solve ideal magnetohydrodynamic problems (MHD) and shallow water magnetohydrodynamic problems (SMHD). The main numerical scheme is second-order accurate both in space and time and uses an original Cartesian grid coupled to a Cartesian- or diamond-staggered dual grid to by-pass the resolution of the Riemann problems at the cell interfaces. To treat the non-vanishing magnetic field/flux divergence we have constructed an adaptation of Evans and Hawley's constrained transport method specifically designed for central schemes. Our numerical results show the efficiency and the potential of the scheme en_US
dc.language.iso en en_US
dc.title Central finite volume methods for ideal and shallow water magnetohydrodynamics en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SAS en_US
dc.author.idnumber 200502835 en_US
dc.author.woa N/A en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal International Journal for Numerical Methods in Fluids en_US
dc.journal.volume 67 en_US
dc.journal.issue 2 en_US
dc.article.pages 155-174 en_US
dc.identifier.doi http://dx.doi.org/10.1002/fld.2340 en_US
dc.identifier.ctation Touma, R., & Arminjon, P. (2011). Central finite volume methods for ideal and shallow water magnetohydrodynamics. International Journal for Numerical Methods in Fluids, 67(2), 155-174. en_US
dc.author.email rony.touma@lau.edu.lb
dc.identifier.url http://onlinelibrary.wiley.com/doi/10.1002/fld.2340/full

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