Unstaggered central schemes for MHD and SMHD
We develop second-order nonoscillatory unstaggered central schemes (UCS) with a constrained transport-type method to solve one and two-dimensional hyperbolic problems arising in astrophysics. In contrast with the original central schemes that alternate the numerical solution on two staggered grids,...
محفوظ في:
| المؤلف الرئيسي: | |
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| التنسيق: | conferenceObject |
| منشور في: |
2008
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/8434 http://dx.doi.org/10.1090/psapm/067.2/2605292 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.643.7537&rep=rep1&type=pdf |
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| _version_ | 1864513484933300224 |
|---|---|
| author | Touma, Rony |
| author_facet | Touma, Rony |
| author_role | author |
| dc.creator.none.fl_str_mv | Touma, Rony |
| dc.date.none.fl_str_mv | 2008 2018-09-07T07:59:23Z 2018-09-07T07:59:23Z 2018-09-07 |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10725/8434 http://dx.doi.org/10.1090/psapm/067.2/2605292 Touma, R. (2008). Unstaggered central schemes for MHD and SMHD. In Proceedings of Symposia in Applied Mathematics. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.643.7537&rep=rep1&type=pdf |
| dc.language.none.fl_str_mv | en |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Unstaggered central schemes for MHD and SMHD |
| dc.type.none.fl_str_mv | Conference Paper / Proceeding info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/conferenceObject |
| description | We develop second-order nonoscillatory unstaggered central schemes (UCS) with a constrained transport-type method to solve one and two-dimensional hyperbolic problems arising in astrophysics. In contrast with the original central schemes that alternate the numerical solution on two staggered grids, the method we propose evolves the numerical solution on a single, but uses implicitly ghost staggered cells to bypass the resolution of the Riemann problemsarising at the cell interfaces. To ensure an admissible physical solution whensolving MHD/SMHD problems, we adapt the constrained transport methodand apply it to our unstaggered central schemes.We numerically solve classical problems in astrophysics using the UCS method; the solenoidal property is satisfied at the discrete level thanks to the adapted constrained transport method and the obtained numerical results are in good agreement with their corresponding ones appearing in the recent literature, thus confirming the efficiency and potential of the scheme |
| eu_rights_str_mv | openAccess |
| format | conferenceObject |
| id | LAURepo_c9e29fcd50f708c853d86e12a02a4156 |
| identifier_str_mv | Touma, R. (2008). Unstaggered central schemes for MHD and SMHD. In Proceedings of Symposia in Applied Mathematics. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/8434 |
| publishDate | 2008 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Unstaggered central schemes for MHD and SMHDTouma, RonyWe develop second-order nonoscillatory unstaggered central schemes (UCS) with a constrained transport-type method to solve one and two-dimensional hyperbolic problems arising in astrophysics. In contrast with the original central schemes that alternate the numerical solution on two staggered grids, the method we propose evolves the numerical solution on a single, but uses implicitly ghost staggered cells to bypass the resolution of the Riemann problemsarising at the cell interfaces. To ensure an admissible physical solution whensolving MHD/SMHD problems, we adapt the constrained transport methodand apply it to our unstaggered central schemes.We numerically solve classical problems in astrophysics using the UCS method; the solenoidal property is satisfied at the discrete level thanks to the adapted constrained transport method and the obtained numerical results are in good agreement with their corresponding ones appearing in the recent literature, thus confirming the efficiency and potential of the schemeN/A2018-09-07T07:59:23Z2018-09-07T07:59:23Z20082018-09-07Conference Paper / Proceedinginfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://hdl.handle.net/10725/8434http://dx.doi.org/10.1090/psapm/067.2/2605292Touma, R. (2008). Unstaggered central schemes for MHD and SMHD. In Proceedings of Symposia in Applied Mathematics.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttp://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.643.7537&rep=rep1&type=pdfeninfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/84342021-03-19T10:43:18Z |
| spellingShingle | Unstaggered central schemes for MHD and SMHD Touma, Rony |
| status_str | publishedVersion |
| title | Unstaggered central schemes for MHD and SMHD |
| title_full | Unstaggered central schemes for MHD and SMHD |
| title_fullStr | Unstaggered central schemes for MHD and SMHD |
| title_full_unstemmed | Unstaggered central schemes for MHD and SMHD |
| title_short | Unstaggered central schemes for MHD and SMHD |
| title_sort | Unstaggered central schemes for MHD and SMHD |
| url | http://hdl.handle.net/10725/8434 http://dx.doi.org/10.1090/psapm/067.2/2605292 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.643.7537&rep=rep1&type=pdf |