IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i18p3242-d908390.html
   My bibliography  Save this article

Numerical Simulation for Brinkman System with Varied Permeability Tensor

Author

Listed:
  • Lahcen El Ouadefli

    (Mechanical Engineering Laboratory, Faculty of Science and Technology, B.P. 30000 Route Imouzzer, Fez 30000, Morocco)

  • Abdeslam El Akkad

    (Mechanical Engineering Laboratory, Faculty of Science and Technology, B.P. 30000 Route Imouzzer, Fez 30000, Morocco
    Department of Mathematics Regional Centre for Professions of Education and Training (CREMF Fès-Meknès), Rue Koweit, B.P: 49 Commune Agudal, Ville Nouvelle, Fez 30050, Morocco)

  • Omar El Moutea

    (Laboratory of Mathematics and Applications, ENS, Hassan II University Casablanca, Casablanca 20000, Morocco)

  • Hassan Moustabchir

    (Laboratory of Systems Engineering and Applications (LISA), National School of Applied Sciences of Fez, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco)

  • Ahmed Elkhalfi

    (Mechanical Engineering Laboratory, Faculty of Science and Technology, B.P. 30000 Route Imouzzer, Fez 30000, Morocco)

  • Maria Luminița Scutaru

    (Faculty of Mechanical Engineering, Transilvania University of Brasov, 500036 Brasov, Romania)

  • Radu Muntean

    (Faculty of Civil Engineering, Transilvania University of Brasov, 500036 Brasov, Romania)

Abstract

The aim of this paper is to study a stationary Brinkman problem in an anisotropic porous medium by using a mini-element method with a general boundary condition. One of the important aspects of the P 1 − B u b b l e / P 1 method is satisfying the inf-sup condition, which allows us the existence and the uniqueness of the weak solution to our problem. To go further in this theoretical study, an a priori error estimate is established. To see the importance of this method in reality, we applied this method to a real problem. The numerical simulation studies support our results and demonstrate the effectiveness of this method.

Suggested Citation

  • Lahcen El Ouadefli & Abdeslam El Akkad & Omar El Moutea & Hassan Moustabchir & Ahmed Elkhalfi & Maria Luminița Scutaru & Radu Muntean, 2022. "Numerical Simulation for Brinkman System with Varied Permeability Tensor," Mathematics, MDPI, vol. 10(18), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3242-:d:908390
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/18/3242/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/18/3242/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Omar El Moutea & Lahcen El Ouadefli & Abdeslam El Akkad & Nadia Nakbi & Ahmed Elkhalfi & Maria Luminita Scutaru & Sorin Vlase, 2023. "A Posteriori Error Estimators for the Quasi-Newtonian Stokes Problem with a General Boundary Condition," Mathematics, MDPI, vol. 11(8), pages 1-20, April.
    2. 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.

    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:gam:jmathe:v:10:y:2022:i:18:p:3242-:d:908390. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.