IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-34288-5_81.html
   My bibliography  Save this book chapter

Numerical Simulation of Vortex-Dipole Wall Interactions Using an Adaptive Wavelet Discretization with Volume Penalisation

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Kai Schneider

    (Université de Provence, LMSNM-CNRS & CMI)

  • Marie Farge

    (Ecole Normale Supérieure, LMD-CNRS)

Abstract

We present an adaptive wavelet method for solving the incompressible Navier-Stokes equations in two space dimensions using the vorticity-stream function formulation. For time discretization a semi-implicit scheme of second order is used. The space discretization is based on a Petrov-Galerkin method, where orthogonal spline wavelets of 4th order are employed as trial functions and operator adapted wavelets as test functions. The no-slip boundary conditions are imposed using a volume penalisation method. As example we present adaptive simulations of vortexdipole wall interactions.

Suggested Citation

  • Kai Schneider & Marie Farge, 2006. "Numerical Simulation of Vortex-Dipole Wall Interactions Using an Adaptive Wavelet Discretization with Volume Penalisation," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 822-830, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_81
    DOI: 10.1007/978-3-540-34288-5_81
    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:978-3-540-34288-5_81. 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.