IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v228y2025icp514-533.html
   My bibliography  Save this article

Adaptive refinement in incompressible fluid flow simulation based on THB-splines-powered isogeometric analysis

Author

Listed:
  • Bastl, Bohumír
  • Slabá, Kristýna

Abstract

In this paper, we deal with adaptive refinement in numerical simulation of incompressible flow solved by isogeometric analysis. We study various error estimators and compare them with respect to convergence to the exact solution. Further, we propose a new class of error estimators based on stabilization methods for numerical solving of incompressible flow and we show that they provide viable option to standard error estimators. Moreover, we comment on different choices of marking strategies and their suitability to the case of incompressible flow and provide comparison of error estimators also with respect to selected marking strategies and selected representative pairs of discretization spaces in isogeometric analysis.

Suggested Citation

  • Bastl, Bohumír & Slabá, Kristýna, 2025. "Adaptive refinement in incompressible fluid flow simulation based on THB-splines-powered isogeometric analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 228(C), pages 514-533.
    • Handle: RePEc:eee:matcom:v:228:y:2025:i:c:p:514-533
    DOI: 10.1016/j.matcom.2024.09.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475424003719
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2024.09.016?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. Bastl, Bohumír & Brandner, Marek & Egermaier, Jiří & Michálková, Kristýna & Turnerová, Eva, 2018. "Isogeometric analysis for turbulent flow," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 145(C), pages 3-17.
    2. Burda, Pavel & Novotný, Jaroslav & Sousedík, Bedřich, 2003. "A posteriori error estimates applied to flow in a channel with corners," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(3), pages 375-383.
    3. Hosseini, Babak S. & Möller, Matthias & Turek, Stefan, 2015. "Isogeometric Analysis of the Navier–Stokes equations with Taylor–Hood B-spline elements," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 264-281.
    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. Bastl, Bohumír & Michálková, Kristýna, 2020. "Automatic generators of multi-patch B-spline meshes of blade cascades and their comparison," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 382-406.
    2. Burda, P. & Novotný, J. & Šístek, J., 2007. "Numerical solution of flow problems by stabilized finite element method and verification of its accuracy using a posteriori error estimates," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(1), pages 28-33.
    3. Lahcen El Ouadefli & Omar El Moutea & Abdeslam El Akkad & Ahmed Elkhalfi & Sorin Vlase & Maria Luminița Scutaru, 2023. "Mixed Isogeometric Analysis of the Brinkman Equation," Mathematics, MDPI, vol. 11(12), pages 1-20, June.
    4. Maria Luminița Scutaru & Sohaib Guendaoui & Ouadie Koubaiti & Lahcen El Ouadefli & Abdeslam El Akkad & Ahmed Elkhalfi & Sorin Vlase, 2023. "Flow of Newtonian Incompressible Fluids in Square Media: Isogeometric vs. Standard Finite Element Method," Mathematics, MDPI, vol. 11(17), pages 1-14, August.
    5. Williamson, Kevin & Burda, Pavel & Sousedík, Bedřich, 2019. "A posteriori error estimates and adaptive mesh refinement for the Stokes–Brinkman problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 266-282.

    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:228:y:2025:i:c:p:514-533. 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: 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.