IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v54y2000i1p65-80.html
   My bibliography  Save this article

A two colorable fourth-order compact difference scheme and parallel iterative solution of the 3D convection diffusion equation

Author

Listed:
  • Zhang, Jun
  • Ge, Lixin
  • Kouatchou, Jules

Abstract

A new fourth-order compact difference scheme for the three-dimensional (3D) convection diffusion equation with variable coefficients is presented. The novelty of this new difference scheme is that it only requires 15 grid points and that it can be decoupled with two colors. The entire computational grid can be updated in two parallel subsweeps with a Gauss–Seidel type iterative method. This is compared with the known 19-point fourth-order compact difference scheme which requires four colors to decouple the computational grid. Numerical results, with multigrid methods implemented on a shared memory parallel computer, are presented to compare the 15-and 19-point fourth-order compact schemes.

Suggested Citation

  • Zhang, Jun & Ge, Lixin & Kouatchou, Jules, 2000. "A two colorable fourth-order compact difference scheme and parallel iterative solution of the 3D convection diffusion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 54(1), pages 65-80.
    • Handle: RePEc:eee:matcom:v:54:y:2000:i:1:p:65-80
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475400002056
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Jun & Kouatchou, Jules & Ge, Lixin, 2002. "A family of fourth-order difference schemes on rotated grid for two-dimensional convection–diffusion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 59(5), pages 413-429.
    2. Deka, Dharmaraj & Sen, Shuvam, 2022. "Compact higher order discretization of 3D generalized convection diffusion equation with variable coefficients in nonuniform grids," Applied Mathematics and Computation, Elsevier, vol. 413(C).

    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:eee:matcom:v:54:y:2000:i:1:p:65-80. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.