IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v99y2014icp54-70.html
   My bibliography  Save this article

Numerical approximation of the Smagorinsky turbulence model applied to the primitive equations of the ocean

Author

Listed:
  • Chacón Rebollo, Tomás
  • Hecht, Frédéric
  • Gómez Mármol, Macarena
  • Orzetti, Giordano
  • Rubino, Samuele

Abstract

This paper deals with the development of efficient numerical solvers for the primitive equations of the ocean in turbulent regime. We derive the numerical approximation of a reduced model by the Smagorinsky turbulence model that includes stabilization of the pressure discretization by a penalty technique. We perform the numerical analysis of this discretization (stability, convergence, error estimates), obtaining error estimates of at most first order in natural norms, due to the penalty structure of the Smagorinsky eddy viscosity. We finally perform some numerical tests for the primitive and Navier–Stokes equations, that confirm the theoretical convergence expectations.

Suggested Citation

  • Chacón Rebollo, Tomás & Hecht, Frédéric & Gómez Mármol, Macarena & Orzetti, Giordano & Rubino, Samuele, 2014. "Numerical approximation of the Smagorinsky turbulence model applied to the primitive equations of the ocean," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 99(C), pages 54-70.
  • Handle: RePEc:eee:matcom:v:99:y:2014:i:c:p:54-70
    DOI: 10.1016/j.matcom.2013.04.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475413002012
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2013.04.023?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
    ---><---

    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. Rubino, Samuele, 2019. "An efficient time-splitting approximation of the Navier–Stokes equations with LPS modeling," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 318-337.

    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:99:y:2014:i:c:p:54-70. 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.