Central finite volume methods for ideal and shallow water magnetohydrodynamics
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 magnetohydrodynam...
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2010
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| Online Access: | http://hdl.handle.net/10725/3510 http://dx.doi.org/10.1002/fld.2340 http://onlinelibrary.wiley.com/doi/10.1002/fld.2340/full |
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| _version_ | 1864513461357117440 |
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| author | Touma, R. |
| author2 | Arminjon, Paul |
| author2_role | author |
| author_facet | Touma, R. Arminjon, Paul |
| author_role | author |
| dc.creator.none.fl_str_mv | Touma, R. Arminjon, Paul |
| dc.date.none.fl_str_mv | 2010 2016-04-07T09:35:02Z 2016-04-07T09:35:02Z 2016-04-07 |
| dc.identifier.none.fl_str_mv | 0271-2091 http://hdl.handle.net/10725/3510 http://dx.doi.org/10.1002/fld.2340 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. http://onlinelibrary.wiley.com/doi/10.1002/fld.2340/full |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | International Journal for Numerical Methods in Fluids |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Central finite volume methods for ideal and shallow water magnetohydrodynamics |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | 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 |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_d4f1bcfae16dd621ecccfc435b7e736b |
| identifier_str_mv | 0271-2091 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. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/3510 |
| publishDate | 2010 |
| repository.mail.fl_str_mv | |
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| spelling | Central finite volume methods for ideal and shallow water magnetohydrodynamicsTouma, R.Arminjon, PaulWe 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 schemePublishedN/A2016-04-07T09:35:02Z2016-04-07T09:35:02Z20102016-04-07Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0271-2091http://hdl.handle.net/10725/3510http://dx.doi.org/10.1002/fld.2340Touma, 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.http://onlinelibrary.wiley.com/doi/10.1002/fld.2340/fullenInternational Journal for Numerical Methods in Fluidsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/35102016-08-31T06:12:56Z |
| spellingShingle | Central finite volume methods for ideal and shallow water magnetohydrodynamics Touma, R. |
| status_str | publishedVersion |
| title | Central finite volume methods for ideal and shallow water magnetohydrodynamics |
| title_full | Central finite volume methods for ideal and shallow water magnetohydrodynamics |
| title_fullStr | Central finite volume methods for ideal and shallow water magnetohydrodynamics |
| title_full_unstemmed | Central finite volume methods for ideal and shallow water magnetohydrodynamics |
| title_short | Central finite volume methods for ideal and shallow water magnetohydrodynamics |
| title_sort | Central finite volume methods for ideal and shallow water magnetohydrodynamics |
| url | http://hdl.handle.net/10725/3510 http://dx.doi.org/10.1002/fld.2340 http://onlinelibrary.wiley.com/doi/10.1002/fld.2340/full |