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Reduced MHD and Astrophysical Fluid Dynamics

Published online by Cambridge University Press:  12 August 2011

Wayne Arter
Wayne Arter*
Affiliation:
EURATOM/CCFE Fusion Association, Culham Science Centre, Abingdon, Oxon. OX14 3DB, UK email: [email protected]
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Abstract

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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the modelling of RMHD, which were found over twenty years ago, are reviewed for an AFD audience, together with hitherto unpublished material on the role of finite-time singularities in the discrete equations used to model fluid dynamical systems.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.

Keywords

methods: numericalconvectionMHDturbulence
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 6 , Symposium S271: Astrophysical Dynamics: From Stars to Galaxies , June 2010 , pp. 355 - 360
Copyright
Copyright © International Astronomical Union 2011

References

Arter, W., Plasma Physics and Controlled Fusion, To be submitted, 2010.Google Scholar
Arter, W., Reports on Progress in Physics, 58: 1–59, 1995.CrossRefGoogle Scholar
Arter, W. & Eastwood, J. W., Transport Theory and Statistical Physics, 16: 433–446, 1987.CrossRefGoogle Scholar
Davidson, J., Dynamics of semi-discretised fluid flow, 1995. Dissertation submitted to the University of Cambridge.Google Scholar
Eastwood, J. W. & Arter, W., Physical Review Letters, 57: 2528–2531, 1986.CrossRefGoogle Scholar
Eastwood, J. W. & Arter, W., Physics of Fluids, 30: 2774–2783, 1987a.CrossRefGoogle Scholar
Eastwood, J. W. & Arter, W., I.M.A. Journal of Numerical Analysis, 7: 205–222, 1987b.CrossRefGoogle Scholar
Hazeltine, R. D. & Meiss, J. D., Plasma Confinement. Addison-Wesley, Redwood City, 1992.Google Scholar
Hou, T. Y., Acta Numerica, 18: 277–346, 2009.CrossRefGoogle Scholar
Moffatt, H. K., In Ricca, R.L., editor, Lectures on Topological Fluid Mechanics, pages 157–166. Springer Verlag, 2009.CrossRefGoogle Scholar
Proctor, M. R. E., In Soward, A.M., Jones, C.A., Hughes, D.W., and Weiss, N.O., editors, Fluid dynamics and dynamos in astrophysics and geophysics, pages 235–278. CRC, 2005.Google Scholar
Tritton, D. J., Physical Fluid Dynamics, 2nd Edition. Clarendon Press, Oxford, 1988.Google Scholar