Numerical Simulation for Brinkman System with Varied Permeability Tensor

Lahcen El Ouadefli, Abdeslam El Akkad, Omar El Moutea, Hassan Moustabchir, Ahmed Elkhalfi, Maria Luminița Scutaru () and Radu Muntean
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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
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

Mathematics, 2022, vol. 10, issue 18, 1-12

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.

Keywords: anisotropic porous media; ADINA system; a priori estimate error; Brinkman equation; mini-element; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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