IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-11795-4_41.html
   My bibliography  Save this book chapter

Adaptive Two-Step Peer Methods for Incompressible Navier–Stokes Equations

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • B. Gottermeier

    (Technische Universität Darmstadt, Department of Mathematics
    DFG Cluster of Excellence Smart Interfaces)

  • J. Lang

    (Technische Universität Darmstadt, Department of Mathematics
    DFG Cluster of Excellence Smart Interfaces)

Abstract

The paper presents a numerical study of two-step peer methods up to order six, applied to the non-stationary incompressible Navier–Stokes equations. These linearly implicit methods show good stability properties, but the main advantage over one-step methods lies in the fact that even for PDEs no order reduction is observed. To investigate whether the higher order of convergence of the two-step peer methods equipped with variable time steps pays off in practically relevant CFD computations, we consider typical benchmark problems. Higher accuracy and better efficiency of the two-step peer methods compared to classical third-order one-step methods of Rosenbrock-type can be observed.

Suggested Citation

  • B. Gottermeier & J. Lang, 2010. "Adaptive Two-Step Peer Methods for Incompressible Navier–Stokes Equations," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 387-395, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_41
    DOI: 10.1007/978-3-642-11795-4_41
    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:978-3-642-11795-4_41. 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.