IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v89y2016icp363-372.html
   My bibliography  Save this article

A stabilized finite volume method for the stationary Navier–Stokes equations

Author

Listed:
  • Sheng, Ying
  • Zhang, Tie
  • Jiang, Zhong-Zhong

Abstract

In the present paper, we propose a stabilized finite volume element method for the Navier–Stokes equations using the lowest order P1−P0 element pair. The stabilized method is designed by adding a jump term of the discrete pressure to the continuity approximation equation. A discrete inf–sup condition is established for the stabilized finite volume element scheme which assures the stability of the discrete solutions. The optimal error estimates are derived in the H1-norm for velocity and the L2-norm for pressure, respectively. Moreover, the optimal L2- error estimate is also given for velocity approximation.

Suggested Citation

  • Sheng, Ying & Zhang, Tie & Jiang, Zhong-Zhong, 2016. "A stabilized finite volume method for the stationary Navier–Stokes equations," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 363-372.
    • Handle: RePEc:eee:chsofr:v:89:y:2016:i:c:p:363-372
    DOI: 10.1016/j.chaos.2016.01.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077916000047
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2016.01.002?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. Bai, Feng & Wang, Yi, 2022. "A reduced order modeling method based on GNAT-embedded hybrid snapshot simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 199(C), pages 100-132.
    2. Xiaoling Tang & Aifeng Zhai & Xiaowen Ding & Qiande Zhu, 2019. "Safety Guarantee System of Drinking Water Source in Three Gorges Reservoir Area and Its Application in Huangjuedu Drinking Water Source Area," Sustainability, MDPI, vol. 11(24), pages 1-13, December.

    More about this item

    Keywords

    Finite volume method; Navier–Stokes problem; Stabilized method; P1 − P0 element pair; Inf–sup condition;
    All these keywords.

    JEL classification:

    • P1 - Political Economy and Comparative Economic Systems - - Capitalist Economies
    • P0 - Political Economy and Comparative Economic Systems - - General

    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:eee:chsofr:v:89:y:2016:i:c:p:363-372. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.