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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 66
COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Paper XI.6

Explicit and Implicit Parallel Upwind Monotone Residual Distribution Solver for the Time Dependent Ideal 3D Magnetohydrodynamic Equations on Unstructured Grids

A. Csik+#, H. De Sterck+#, M. Ricchiuto+, S. Poedts#, H. Deconinck# and D. Roose*

+von Karman Institute for Fluid Dynamics Brussels, Belgium
#Department of Mathematics, Center for Plasma Astrophysics, Katholieke Universiteit Leuven, Heverlee, Belgium
*Department of Computer Science, Katholieke Universiteit Leuven, Heverlee, Belgium

Full Bibliographic Reference for this paper
A. Csik, H. De Sterck, M. Ricchiuto, S. Poedts, H. Deconinck, D. Roose, "Explicit and Implicit Parallel Upwind Monotone Residual Distribution Solver for the Time Dependent Ideal 3D Magnetohydrodynamic Equations on Unstructured Grids", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 311-323, 2000. doi:10.4203/ccp.66.11.6
Abstract
Monotone multidimensional upwind schemes for the numerical simulation of Space Weather magnetohydrodynamic plasma flows are presented. The extension of the steady residual distribution magnetohydrodynamic schemes to three spatial dimensions is described. Residual distribution schemes for time dependent flows are discussed that make use of the Flux Corrected Transport approach and that are second order accurate away from discontinuities while retaining positivity. The schemes are tested on basic flow problems in two and three dimensions

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