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Divergence Free High Order Filter Methods for the Compressible MHD Equations

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Modeling, Simulation and Optimization of Complex Processes

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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.

Part of this work was performed while the second author was a RIACS visiting scientist at NASA Ames Research Center.

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Author information

Authors and Affiliations

  1. NASA Ames Research Center, USA

    H. C. Yee

  2. Royal Institute of Technology, Sweden

    Björn Sjögreen

Authors
  1. H. C. Yee
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  2. Björn Sjögreen
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Editor information

Editors and Affiliations

  1. Interdisziplinäres Zentrum für Wissenschaftliches Rechnen (IWR), Universität Heidelberg, Im Neuenheimer Feld 368, 69120, Heidelberg, Germany

    Hans Georg Bock  & Ekaterina Kostina  & 

  2. Institute of Mathematics, Vietnamese Academy of Science and Technology (VAST), 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam

    Hoang Xuan Phu

  3. Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, 68120, Heidelberg, Germany

    Rolf Rannacher

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© 2005 Springer-Verlag Berlin Heidelberg

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Yee, H.C., Sjögreen, B. (2005). Divergence Free High Order Filter Methods for the Compressible MHD Equations. In: Bock, H.G., Phu, H.X., Kostina, E., Rannacher, R. (eds) Modeling, Simulation and Optimization of Complex Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27170-8_42

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