Abstract : In this work, we study the Brinkman-Forchheimer equations for unsteady flows. We prove the continuous dependence of the solution on the Brinkman's and Forchheimer's coefficients as well as the initial data and externel forces. Next, we propose and study a perturbed compressible system that approximate the Brinkman-Forchheimer equations. Finally, we propose a time dicretization of the perturbed system by a semi-implicit Euler scheme and next a lowesst-order Raviart-Thomas element is applied for spatial discretization. Some numerical results are given.
https://hal-normandie-univ.archives-ouvertes.fr/hal-02343592
Contributeur : Nour Seloula
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Soumis le : samedi 2 novembre 2019 - 20:58:22
Dernière modification le : vendredi 8 novembre 2019 - 01:41:12
Mohammed Louaked, Nour Seloula, Shuyu Sun, Saber Trabelsi. A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations. Differential and integral equations, Khayyam Publishing, 2015. ⟨hal-02343592⟩
