IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v348y2019icp318-337.html
   My bibliography  Save this article

An efficient time-splitting approximation of the Navier–Stokes equations with LPS modeling

Author

Listed:
  • Rubino, Samuele

Abstract

In this work, the solution of the Navier–Stokes equations (NSE) is addressed by a Finite Element (FE) Local Projection Stabilization (LPS) method combined with an efficient time-splitting approximation strategy. The focus is on the high-order term-by-term stabilization method that has one level, in the sense that it is defined on a single mesh, and in which the projection-stabilized structure of standard LPS methods is replaced by an alternative interpolation-stabilized structure. The main contribution is on numerically analyzing for the cited LPS method the proposed time approximation via stable velocity–pressure segregation, using semi-implicit Backward Differentiation Formulas (BDF). An overview about theoretical results from the numerical analysis of the proposed method is given, by highlighting the used mathematical tools. Numerical studies support the analytical results and illustrate the potential of the method for the efficient and accurate simulation of turbulent flows on relatively coarse grids. Smooth unsteady flows are simulated with optimal order of accuracy.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:348:y:2019:i:c:p:318-337
    DOI: 10.1016/j.amc.2018.11.065
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318310397
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.11.065?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.

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Maia, A.A.G. & Cavalca, D.F. & Tomita, J.T. & Costa, F.P. & Bringhenti, C., 2022. "Evaluation of an effective and robust implicit time-integration numerical scheme for Navier-Stokes equations in a CFD solver for compressible flows," Applied Mathematics and Computation, Elsevier, vol. 413(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:apmaco:v:348:y:2019:i:c:p:318-337. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

      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.