IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/428681.html
   My bibliography  Save this article

Optimized Weighted Essentially Nonoscillatory Third-Order Schemes for Hyperbolic Conservation Laws

Author

Listed:
  • A. R. Appadu
  • A. A. I. Peer

Abstract

We describe briefly how a third-order Weighted Essentially Nonoscillatory (WENO) scheme is derived by coupling a WENO spatial discretization scheme with a temporal integration scheme. The scheme is termed WENO3. We perform a spectral analysis of its dispersive and dissipative properties when used to approximate the 1D linear advection equation and use a technique of optimisation to find the optimal cfl number of the scheme. We carry out some numerical experiments dealing with wave propagation based on the 1D linear advection and 1D Burger’s equation at some different cfl numbers and show that the optimal cfl does indeed cause less dispersion, less dissipation, and lower errors. Lastly, we test numerically the order of convergence of the WENO3 scheme.

Suggested Citation

  • A. R. Appadu & A. A. I. Peer, 2013. "Optimized Weighted Essentially Nonoscillatory Third-Order Schemes for Hyperbolic Conservation Laws," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-12, July.
  • Handle: RePEc:hin:jnljam:428681
    DOI: 10.1155/2013/428681
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2013/428681.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/JAM/2013/428681.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2013/428681?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

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


    Cited by:

    1. Barnosa Pola, Fernanda Paula & Venturini Pola, Ives Renê, 2019. "Optimizing computational high-order schemes in finite volume simulations using unstructured mesh and topological data structures," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 1-17.

    More about this item

    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:hin:jnljam:428681. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.