GODUNOV-TYPE NUMERICAL METHODS FOR ONE- AND TWO-COMPONENT MAGNETOHYDRODYNAMIC EQUATIONS
In this paper we review Godunov-type numerical methods for one- and two-component magnetohydrodynamic equations. Solving these equations numerically is a formidable task as a result of the internal complexity of these equations and the requirements of ∇·B = 0. We present several results of advanced...
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Format: | Article |
Language: | English |
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Gdańsk University of Technology
2009-01-01
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Series: | TASK Quarterly |
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Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2018 |
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author | KRZYSZTOF MURAWSKI |
author_facet | KRZYSZTOF MURAWSKI |
author_sort | KRZYSZTOF MURAWSKI |
collection | DOAJ |
description |
In this paper we review Godunov-type numerical methods for one- and two-component magnetohydrodynamic equations. Solving these equations numerically is a formidable task as a result of the internal complexity of these equations and the requirements of ∇·B = 0. We present several results of advanced numerical simulations for complex systems. These results prove that the numerical codes which are based on Godunov-type methods, cope with all problems very well.
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first_indexed | 2024-12-12T19:35:42Z |
format | Article |
id | doaj.art-dfe9400efa6f468b9f1b7745fb4eb3af |
institution | Directory Open Access Journal |
issn | 1428-6394 |
language | English |
last_indexed | 2024-12-12T19:35:42Z |
publishDate | 2009-01-01 |
publisher | Gdańsk University of Technology |
record_format | Article |
series | TASK Quarterly |
spelling | doaj.art-dfe9400efa6f468b9f1b7745fb4eb3af2022-12-22T00:14:20ZengGdańsk University of TechnologyTASK Quarterly1428-63942009-01-01131-2GODUNOV-TYPE NUMERICAL METHODS FOR ONE- AND TWO-COMPONENT MAGNETOHYDRODYNAMIC EQUATIONSKRZYSZTOF MURAWSKI0Institute of Physics, UMCS In this paper we review Godunov-type numerical methods for one- and two-component magnetohydrodynamic equations. Solving these equations numerically is a formidable task as a result of the internal complexity of these equations and the requirements of ∇·B = 0. We present several results of advanced numerical simulations for complex systems. These results prove that the numerical codes which are based on Godunov-type methods, cope with all problems very well. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2018numerical simulations of hyperbolic equationsGodunov methodsmagnetohydrodynamics |
spellingShingle | KRZYSZTOF MURAWSKI GODUNOV-TYPE NUMERICAL METHODS FOR ONE- AND TWO-COMPONENT MAGNETOHYDRODYNAMIC EQUATIONS TASK Quarterly numerical simulations of hyperbolic equations Godunov methods magnetohydrodynamics |
title | GODUNOV-TYPE NUMERICAL METHODS FOR ONE- AND TWO-COMPONENT MAGNETOHYDRODYNAMIC EQUATIONS |
title_full | GODUNOV-TYPE NUMERICAL METHODS FOR ONE- AND TWO-COMPONENT MAGNETOHYDRODYNAMIC EQUATIONS |
title_fullStr | GODUNOV-TYPE NUMERICAL METHODS FOR ONE- AND TWO-COMPONENT MAGNETOHYDRODYNAMIC EQUATIONS |
title_full_unstemmed | GODUNOV-TYPE NUMERICAL METHODS FOR ONE- AND TWO-COMPONENT MAGNETOHYDRODYNAMIC EQUATIONS |
title_short | GODUNOV-TYPE NUMERICAL METHODS FOR ONE- AND TWO-COMPONENT MAGNETOHYDRODYNAMIC EQUATIONS |
title_sort | godunov type numerical methods for one and two component magnetohydrodynamic equations |
topic | numerical simulations of hyperbolic equations Godunov methods magnetohydrodynamics |
url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2018 |
work_keys_str_mv | AT krzysztofmurawski godunovtypenumericalmethodsforoneandtwocomponentmagnetohydrodynamicequations |