IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v422y2022ics0096300322000571.html
   My bibliography  Save this article

A two-step stabilized finite element algorithm for the Smagorinsky model

Author

Listed:
  • Zheng, Bo
  • Shang, Yueqiang

Abstract

This study considers an efficient two-step stabilized finite element algorithm for the simulation of Smagorinsky model, which involves solving a stabilized nonlinear Smagorinsky problem by the lowest equal-order P1−P1 finite elements and solving a stabilized linear Smagorinsky problem by the quadratic equal-order P2−P2 finite elements. We theoretically and numerically show that the present two-step algorithm can provide an approximate solution with basically the same accuracy as that of solving the stabilized P2−P2 finite element method, and represent a reduction in CPU time.

Suggested Citation

  • Zheng, Bo & Shang, Yueqiang, 2022. "A two-step stabilized finite element algorithm for the Smagorinsky model," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    • Handle: RePEc:eee:apmaco:v:422:y:2022:i:c:s0096300322000571
    DOI: 10.1016/j.amc.2022.126971
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322000571
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.126971?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. An, Rong & Li, Yuan & Zhang, Yuqing, 2016. "Error estimates of two-level finite element method for Smagorinsky model," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 786-800.
    2. Zheng, Bo & Shang, Yueqiang, 2019. "Parallel iterative stabilized finite element algorithms based on the lowest equal-order elements for the stationary Navier–Stokes equations," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 35-56.
    3. Zheng, Bo & Shang, Yueqiang, 2020. "Local and parallel stabilized finite element algorithms based on the lowest equal-order elements for the steady Navier–Stokes equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 464-484.
    4. Shi, Dongyang & Li, Minghao & Li, Zhenzhen, 2019. "A nonconforming finite element method for the stationary Smagorinsky model," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 308-319.
    Full references (including those not matched with items on IDEAS)

    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.
    1. Shi, Dongyang & Li, Minghao & Li, Zhenzhen, 2019. "A nonconforming finite element method for the stationary Smagorinsky model," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 308-319.
    2. Zheng, Bo & Shang, Yueqiang, 2020. "Local and parallel stabilized finite element algorithms based on the lowest equal-order elements for the steady Navier–Stokes equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 464-484.
    3. Zheng, Bo & Shang, Yueqiang, 2020. "A two-level stabilized quadratic equal-order finite element variational multiscale method for incompressible flows," Applied Mathematics and Computation, Elsevier, vol. 384(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:apmaco:v:422:y:2022:i:c:s0096300322000571. 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.