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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Main Author: KRZYSZTOF MURAWSKI
Format: Article
Language:English
Published: Gdańsk University of Technology 2009-01-01
Series:TASK Quarterly
Subjects:
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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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