A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations - Archive ouverte HAL Access content directly
Journal Articles Differential and integral equations Year : 2015

A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations

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Nour Seloula
Shuyu Sun
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  • PersonId : 1057364
Saber Trabelsi
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  • PersonId : 860970

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.
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Dates and versions

hal-02343592 , version 1 (02-11-2019)

Identifiers

  • HAL Id : hal-02343592 , version 1

Cite

Mohammed Louaked, Nour Seloula, Shuyu Sun, Saber Trabelsi. A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations. Differential and integral equations, 2015. ⟨hal-02343592⟩
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