Reduced MHD and Astrophysical Fluid Dynamics

Recent work has shown a relationship between between the equations of Reduced Magnetohydrodynamics (RMHD), used to model magnetic fusion laboratory experiments, and incompressible magnetoconvection (IMC), employed in the simulation of astrophysical fluid dynamics (AFD), which means that the two syst...

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Bibliographic Details
Published inProceedings of the International Astronomical Union Vol. 6; no. S271; pp. 355 - 360
Main Author Arter, Wayne
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.06.2010
Subjects
Astrophysics
Computational fluid dynamics
Contributed Papers
Dynamical systems
Fluid dynamics
Fluid flow
Mathematical analysis
Mathematical models
Simulation
Turbulence
Turbulent flow
convection
MHD
methods: numerical
turbulence
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Summary:Recent work has shown a relationship between between the equations of Reduced Magnetohydrodynamics (RMHD), used to model magnetic fusion laboratory experiments, and incompressible magnetoconvection (IMC), employed in the simulation of astrophysical fluid dynamics (AFD), which means that the two systems are mathematically equivalent in certain geometries. Limitations on the modelling of RMHD, which were found over twenty years ago, are reviewed for an AFD audience, together with hitherto unpublished material on the role of finite-time singularities in the discrete equations used to model fluid dynamical systems. Possible implications for turbulence modelling are mentioned.
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ISSN:1743-9213
1743-9221
DOI:10.1017/S1743921311017789