Divergence Free High Order Filter Methods for the Compressible MHD Equations

H. C. Yee () and Björn Sjögreen ()
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H. C. Yee: NASA Ames Research Center
Björn Sjögreen: Royal Institute of Technology

A chapter in Modeling, Simulation and Optimization of Complex Processes, 2005, pp 559-575 from Springer

Abstract: Summary The generalization of a class of low-dissipative high order filter finite difference methods for long time wave propagation of shock/turbulence/combustion compressible viscous gas dynamic flows to compressible MHD equations for structured curvilinear grids has been achieved. The new scheme is shown to provide a natural and efficient way for the minimization of the divergence of the magnetic field numerical error. Standard divergence cleaning is not required by the present filter approach. For certain MHD test cases, divergence free preservation of the magnetic fields has been achieved.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27170-3_42

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DOI: 10.1007/3-540-27170-8_42

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