IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v305y2017icp136-160.html
   My bibliography  Save this article

Constructing a Godunov-type scheme for the model of a general fluid flow in a nozzle with variable cross-section

Author

Listed:
  • Cuong, Dao Huy
  • Thanh, Mai Duc

Abstract

A Godunov-type scheme for the model of a general fluid flow in a nozzle with variable cross-section is presented. The model has the form of a nonconservative system of balance laws, which poses many challenging questions for study. First, exact Riemann solvers in computing form are described in both subsonic and supersonic regions. Second, the computable exact solutions of local Riemann problem are incorporated into a Godunov-type scheme. Third, the scheme is shown to be well-balanced in the sense that it can capture exactly stationary waves. Finally, numerical tests for data belong to both subsonic and supersonic regions are presented. These tests show that the scheme has a very fine accuracy. Especially, the scheme can give very good approximations to the exact solutions even in the resonant phenomenon where the solution contains three waves of the same speed.

Suggested Citation

  • Cuong, Dao Huy & Thanh, Mai Duc, 2017. "Constructing a Godunov-type scheme for the model of a general fluid flow in a nozzle with variable cross-section," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 136-160.
    • Handle: RePEc:eee:apmaco:v:305:y:2017:i:c:p:136-160
    DOI: 10.1016/j.amc.2017.01.065
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300317300917
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2017.01.065?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. Cuong, Dao Huy & Thanh, Mai Duc, 2015. "A Godunov-type scheme for the isentropic model of a fluid flow in a nozzle with variable cross-section," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 602-629.
    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. Thanh, Mai Duc, 2018. "The Riemann problem for the shallow water equations with horizontal temperature gradients," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 159-178.

    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. Thanh, Mai Duc, 2018. "The Riemann problem for the shallow water equations with horizontal temperature gradients," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 159-178.
    2. Thanh, Mai Duc & Cuong, Dao Huy, 2020. "Building a van Leer-type numerical scheme for a model of two-phase flows," Applied Mathematics and Computation, Elsevier, vol. 366(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:305:y:2017:i:c:p:136-160. 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.