IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v145y2018icp186-208.html
   My bibliography  Save this article

Numerical simulation of fluid–structure interaction problems with hyperelastic models: A monolithic approach

Author

Listed:
  • Langer, Ulrich
  • Yang, Huidong

Abstract

In this paper, we consider a monolithic approach to handle coupled fluid–structure interaction problems with different hyperelastic models in an all-at-once manner. We apply Newton’s method in the outer iteration dealing with nonlinearities of the coupled system. We discuss preconditioned Krylov sub-space, algebraic multigrid and algebraic multilevel methods for solving the linearized algebraic equations. Finally, we compare the results of the monolithic approach with those of the corresponding partitioned approach that was studied in our previous work.

Suggested Citation

  • Langer, Ulrich & Yang, Huidong, 2018. "Numerical simulation of fluid–structure interaction problems with hyperelastic models: A monolithic approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 145(C), pages 186-208.
    • Handle: RePEc:eee:matcom:v:145:y:2018:i:c:p:186-208
    DOI: 10.1016/j.matcom.2016.07.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475416301185
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2016.07.008?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. Boffi, Daniele & Credali, Fabio & Gastaldi, Lucia & Scacchi, Simone, 2024. "A parallel solver for fluid–structure interaction problems with Lagrange multiplier," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 406-424.
    2. Martina Bukač, 2021. "An Extension of Explicit Coupling for Fluid–Structure Interaction Problems," Mathematics, MDPI, vol. 9(15), pages 1-20, July.
    3. Nazim Hussain Hajano & Muhammad Sabeel Khan & Lisheng Liu & Mumtaz Ali Kaloi & Hai Mei, 2023. "Combined Micro-Structural Effects of Linearly Increasing Reynolds Number and Mean Inflow Velocity on Flow Fields with Mesh Independence Analysis in Non-Classical Framework," Mathematics, MDPI, vol. 11(9), pages 1-21, April.

    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:matcom:v:145:y:2018:i:c:p:186-208. 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: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.