IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-28396-6_5.html
   My bibliography  Save this book chapter

Solving Multidimensional Reactive Flow Problems with Adaptive Finite Elements

In: Reactive Flows, Diffusion and Transport

Author

Listed:
  • M. Braack

    (Universität Heidelberg, Institut für Angewandte Mathematik)

  • T. Richter

    (Universität Heidelberg, Institut für Angewandte Mathematik)

Abstract

Summary We describe recent developments in the design and implementation of finite element methods for the compressible Navier-Stokes equations modeling chemically reactive flows. The emphasize is on the low-Mach number regime including the limit case of incompressible flow. The most important ingredients are appropriate finite element discretizations, residual driven a posteriori mesh refinement, fully coupled defect-correction iteration for linearization, and optimal multigrid preconditioning. The potential of automatic mesh adaptation together with multilevel techniques is illustrated by 2D and 3D simulations of laminar methane combustion including detailed reaction mechanisms.

Suggested Citation

  • M. Braack & T. Richter, 2007. "Solving Multidimensional Reactive Flow Problems with Adaptive Finite Elements," Springer Books, in: Willi Jäger & Rolf Rannacher & Jürgen Warnatz (ed.), Reactive Flows, Diffusion and Transport, pages 93-112, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-28396-6_5
    DOI: 10.1007/978-3-540-28396-6_5
    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:978-3-540-28396-6_5. 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.