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Journal articles
A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations
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.
Cited literature [16 references]
https://hal-normandie-univ.archives-ouvertes.fr/hal-02343592
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Submitted on : Saturday, November 2, 2019 - 8:58:22 PM
Last modification on : Tuesday, November 16, 2021 - 4:23:10 AM
Long-term archiving on: : Monday, February 3, 2020 - 2:11:12 PM
Contributor : Nour SELOULA Connect in order to contact the contributor
Submitted on : Saturday, November 2, 2019 - 8:58:22 PM
Last modification on : Tuesday, November 16, 2021 - 4:23:10 AM
Long-term archiving on: : Monday, February 3, 2020 - 2:11:12 PM
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