IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-75712-2_57.html
   My bibliography  Save this book chapter

Comparison of Several Finite Difference Methods for Magnetohydrodynamics in 1D and 2D

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • P. Havlík

    (Czech Technical University in Prague Trojanova 13, Nuclear Science and Physical Engineering)

  • R. Liska

    (Czech Technical University in Prague Brehova 7, Nuclear Sciences and Physical Engineering)

Abstract

The comparison of several finite difference methods for ideal magnetohydrodynamics (MHD) is presented. Compared finite difference methods include composite schemes, central scheme, WENO, component wise CWENO, and public freely available packages Nirvana and Flash. 1D Cartesian tests concern smooth, Brio–Wu and intermediate shock formation problems. From 2D Cartesian tests we shortly present Orszag–Tang vortex problem and shock–cloud interaction problem. As we are interested in the generalization of schemes from Cartesian to cylindrical r — z geometry, we include also generalization of composite and CWENO schemes to cylindrical geometry with their application to 2D conical z-pinch problem.

Suggested Citation

  • P. Havlík & R. Liska, 2008. "Comparison of Several Finite Difference Methods for Magnetohydrodynamics in 1D and 2D," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 585-592, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_57
    DOI: 10.1007/978-3-540-75712-2_57
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-540-75712-2_57. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.