An approximate Riemann solver for magnetohydrodynamics: (that works in more then one dimension
Abstract: "An approximate Riemann solver is developed for the governing equations of ideal magnetohydrodynamics (MHD). The Riemann solver has an eight-wave structure, where seven of the waves are those used in previous work on upwind schemes for MHD, and the eighth wave is related to the diverg...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1994
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1994,7 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "An approximate Riemann solver is developed for the governing equations of ideal magnetohydrodynamics (MHD). The Riemann solver has an eight-wave structure, where seven of the waves are those used in previous work on upwind schemes for MHD, and the eighth wave is related to the divergence of the magnetic field. The structure of the eighth wave is not immediately obvious from the governing equations as they are usually written, but arises from a modification of the equations that is presented in this paper. The addition of the eighth wave allows multi- dimensional MHD problems to be solved without the use of staggered grids or a projection scheme, one or the other of which was necessary in previous work on upwind schemes for MHD A test problem made up of a shock tube with rotated initial conditions is solved to show that the two-dimensional code yields answers consistent with the one-dimensional methods developed previously. |
| Beschreibung: | 11 S. |
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| 100 | 1 | |a Powell, Kenneth Grant |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An approximate Riemann solver for magnetohydrodynamics |b (that works in more then one dimension |c K. G. Powell |
| 264 | 1 | |a Amsterdam |c 1994 | |
| 300 | |a 11 S. | ||
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1994,7 | |
| 520 | 3 | |a Abstract: "An approximate Riemann solver is developed for the governing equations of ideal magnetohydrodynamics (MHD). The Riemann solver has an eight-wave structure, where seven of the waves are those used in previous work on upwind schemes for MHD, and the eighth wave is related to the divergence of the magnetic field. The structure of the eighth wave is not immediately obvious from the governing equations as they are usually written, but arises from a modification of the equations that is presented in this paper. The addition of the eighth wave allows multi- dimensional MHD problems to be solved without the use of staggered grids or a projection scheme, one or the other of which was necessary in previous work on upwind schemes for MHD | |
| 520 | 3 | |a A test problem made up of a shock tube with rotated initial conditions is solved to show that the two-dimensional code yields answers consistent with the one-dimensional methods developed previously. | |
| 650 | 4 | |a Magnetohydrodynamics | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1994,7 |w (DE-604)BV010177152 |9 1994,7 | |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:02Z |
| institution | BVB |
| language | English |
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| physical | 11 S. |
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| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Powell, Kenneth Grant Verfasser aut An approximate Riemann solver for magnetohydrodynamics (that works in more then one dimension K. G. Powell Amsterdam 1994 11 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1994,7 Abstract: "An approximate Riemann solver is developed for the governing equations of ideal magnetohydrodynamics (MHD). The Riemann solver has an eight-wave structure, where seven of the waves are those used in previous work on upwind schemes for MHD, and the eighth wave is related to the divergence of the magnetic field. The structure of the eighth wave is not immediately obvious from the governing equations as they are usually written, but arises from a modification of the equations that is presented in this paper. The addition of the eighth wave allows multi- dimensional MHD problems to be solved without the use of staggered grids or a projection scheme, one or the other of which was necessary in previous work on upwind schemes for MHD A test problem made up of a shock tube with rotated initial conditions is solved to show that the two-dimensional code yields answers consistent with the one-dimensional methods developed previously. Magnetohydrodynamics Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1994,7 (DE-604)BV010177152 1994,7 |
| spellingShingle | Powell, Kenneth Grant An approximate Riemann solver for magnetohydrodynamics (that works in more then one dimension Magnetohydrodynamics |
| title | An approximate Riemann solver for magnetohydrodynamics (that works in more then one dimension |
| title_auth | An approximate Riemann solver for magnetohydrodynamics (that works in more then one dimension |
| title_exact_search | An approximate Riemann solver for magnetohydrodynamics (that works in more then one dimension |
| title_full | An approximate Riemann solver for magnetohydrodynamics (that works in more then one dimension K. G. Powell |
| title_fullStr | An approximate Riemann solver for magnetohydrodynamics (that works in more then one dimension K. G. Powell |
| title_full_unstemmed | An approximate Riemann solver for magnetohydrodynamics (that works in more then one dimension K. G. Powell |
| title_short | An approximate Riemann solver for magnetohydrodynamics |
| title_sort | an approximate riemann solver for magnetohydrodynamics that works in more then one dimension |
| title_sub | (that works in more then one dimension |
| topic | Magnetohydrodynamics |
| topic_facet | Magnetohydrodynamics |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT powellkennethgrant anapproximateriemannsolverformagnetohydrodynamicsthatworksinmorethenonedimension |