IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-55711-8_67.html
   My bibliography  Save this book chapter

Afternotes on PHM: Harmonic ENO Methods

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • Antonio Marquina

    (Universitat de València, Departamento de Matemática Aplicada)

  • Susana Serna

    (Universitat de València, Departamento de Matemática Aplicada)

Abstract

PHM methods have been used successfully as reconstruction procedures to design high-order Riemann solvers for nonlinear scalar and systems of conservation laws, (see [8], [1], [4]). We introduce a new class of polynomial reconstruction procedures based on the harmonic mean of the absolute values of finite diferences used as difference-limiter, following the original idea used before to design the piecewise hyperbolic method, introduced in [8]. We call those methods ’harmonic ENO methods’, (HENO). Furthermore, we give analytical and numerical evidence of the good behavior of these methods used as reconstruction procedures for the numerical approximation by means of shock-capturing methods for scalar and systems of conservation laws in ID. We discuss, in particular, the behavior of a fourth order harmonic ENO method,(HEN04 in short), compared with PHM, EN03 and WEN05 methods, (see [2], [10], [3]).

Suggested Citation

  • Antonio Marquina & Susana Serna, 2003. "Afternotes on PHM: Harmonic ENO Methods," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 717-725, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_67
    DOI: 10.1007/978-3-642-55711-8_67
    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:978-3-642-55711-8_67. 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.