IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v266y2015icp713-737.html
   My bibliography  Save this article

A choice of forcing terms in inexact Newton iterations with application to pseudo-transient continuation for incompressible fluid flow computations

Author

Listed:
  • Botti, L.

Abstract

A strategy for choosing the forcing terms in inexact Newton iterations is presented. The final goal is to obtain fast steady state marching strategies for the solution of PDEs. The new approach is analyzed and tested in the context of inexact Newton methods but is also well suited to be applied in the pseudo-transient continuation framework. To validate the strategy and assess its gains in terms of computational costs we seek approximate solutions of the incompressible Navier–Stokes equations at high-Reynolds numbers. In particular we consider the well known 2D lid-driven cavity flow and backward-facing step problem focusing on the efficiency of the time marching strategy. Residual history and computation time are monitored and compared with many fixed and adaptive forcing term choices of reference.

Suggested Citation

  • Botti, L., 2015. "A choice of forcing terms in inexact Newton iterations with application to pseudo-transient continuation for incompressible fluid flow computations," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 713-737.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:713-737
    DOI: 10.1016/j.amc.2015.05.136
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315007675
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.05.136?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. Zhang, Xu & Jiang, Yanqun & Hu, Yinggang & Chen, Xun, 2022. "High-order implicit weighted compact nonlinear scheme for nonlinear coupled viscous Burgers’ equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 151-165.

    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:266:y:2015:i:c:p:713-737. 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: 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.