Central finite volume methods with constrained transport divergence treatment for ideal MHD
Two and three-dimensional finite volume extensions of the Lax–Friedrichs (LF) and Nessyahu–Tadmor one-dimensional difference schemes were previously presented and successfully applied to several problems for nonlinear hyperbolic systems, and in particular to typical test cases for both inviscid and...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2005
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/3509 http://dx.doi.org/10.1016/j.jcp.2004.10.034 http://www.sciencedirect.com/science/article/pii/S002199910400436X |
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| _version_ | 1864513461356068864 |
|---|---|
| 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 | 2005 2016-04-07T09:09:15Z 2016-04-07T09:09:15Z 2016-04-07 |
| dc.identifier.none.fl_str_mv | 0021-9991 http://hdl.handle.net/10725/3509 http://dx.doi.org/10.1016/j.jcp.2004.10.034 Arminjon, P., & Touma, R. (2005). Central finite volume methods with constrained transport divergence treatment for ideal MHD. Journal of Computational Physics, 204(2), 737-759. http://www.sciencedirect.com/science/article/pii/S002199910400436X |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Journal of Computational Physics |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Central finite volume methods with constrained transport divergence treatment for ideal MHD |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | Two and three-dimensional finite volume extensions of the Lax–Friedrichs (LF) and Nessyahu–Tadmor one-dimensional difference schemes were previously presented and successfully applied to several problems for nonlinear hyperbolic systems, and in particular to typical test cases for both inviscid and viscous compressible flows. These “central” schemes by-pass the resolution, at the cell interfaces, of the Riemann problems, thanks to the use of the staggered LF scheme which serves as the base scheme on which high order finite volume methods can be constructed using van Leer’s MUSCL-type limited reconstruction principle. For this purpose, two dual grids are used at alternate time steps. These methods are extended here to several problems in one- and multi-dimensional ideal compressible magnetohydrodynamics using a modified version of the first author’s central methods with oblique (diamond shaped) dual cells. In two-dimensions the system has eight equations and solving the corresponding Riemann problem is an elaborate and time-consuming process. Central methods lead to significant computing time reductions, and the numerical experiments presented here suggest the accuracy is quite satisfactory. In order to satisfy the physical constraint ∇ · B = 0, we have constructed a strategy (“CTCS”) inspired from the Constrained Transport method of Evans and Hawley. The validity of our base scheme and our CTCS approach is clearly confirmed by the results. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_11cd1ac2f1bdd412ab447ca8f1c50844 |
| identifier_str_mv | 0021-9991 Arminjon, P., & Touma, R. (2005). Central finite volume methods with constrained transport divergence treatment for ideal MHD. Journal of Computational Physics, 204(2), 737-759. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/3509 |
| publishDate | 2005 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Central finite volume methods with constrained transport divergence treatment for ideal MHDTouma, R.Arminjon, PaulTwo and three-dimensional finite volume extensions of the Lax–Friedrichs (LF) and Nessyahu–Tadmor one-dimensional difference schemes were previously presented and successfully applied to several problems for nonlinear hyperbolic systems, and in particular to typical test cases for both inviscid and viscous compressible flows. These “central” schemes by-pass the resolution, at the cell interfaces, of the Riemann problems, thanks to the use of the staggered LF scheme which serves as the base scheme on which high order finite volume methods can be constructed using van Leer’s MUSCL-type limited reconstruction principle. For this purpose, two dual grids are used at alternate time steps. These methods are extended here to several problems in one- and multi-dimensional ideal compressible magnetohydrodynamics using a modified version of the first author’s central methods with oblique (diamond shaped) dual cells. In two-dimensions the system has eight equations and solving the corresponding Riemann problem is an elaborate and time-consuming process. Central methods lead to significant computing time reductions, and the numerical experiments presented here suggest the accuracy is quite satisfactory. In order to satisfy the physical constraint ∇ · B = 0, we have constructed a strategy (“CTCS”) inspired from the Constrained Transport method of Evans and Hawley. The validity of our base scheme and our CTCS approach is clearly confirmed by the results.PublishedN/A2016-04-07T09:09:15Z2016-04-07T09:09:15Z20052016-04-07Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0021-9991http://hdl.handle.net/10725/3509http://dx.doi.org/10.1016/j.jcp.2004.10.034Arminjon, P., & Touma, R. (2005). Central finite volume methods with constrained transport divergence treatment for ideal MHD. Journal of Computational Physics, 204(2), 737-759.http://www.sciencedirect.com/science/article/pii/S002199910400436XenJournal of Computational Physicsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/35092016-08-31T06:13:14Z |
| spellingShingle | Central finite volume methods with constrained transport divergence treatment for ideal MHD Touma, R. |
| status_str | publishedVersion |
| title | Central finite volume methods with constrained transport divergence treatment for ideal MHD |
| title_full | Central finite volume methods with constrained transport divergence treatment for ideal MHD |
| title_fullStr | Central finite volume methods with constrained transport divergence treatment for ideal MHD |
| title_full_unstemmed | Central finite volume methods with constrained transport divergence treatment for ideal MHD |
| title_short | Central finite volume methods with constrained transport divergence treatment for ideal MHD |
| title_sort | Central finite volume methods with constrained transport divergence treatment for ideal MHD |
| url | http://hdl.handle.net/10725/3509 http://dx.doi.org/10.1016/j.jcp.2004.10.034 http://www.sciencedirect.com/science/article/pii/S002199910400436X |