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March/April 2015 A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations
Mohammed Louaked, Nour Seloula, Shuyu Sun, Saber Trabelsi
Differential Integral Equations 28(3/4): 361-382 (March/April 2015).

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 external forces. Next, we propose and study a perturbed compressible system that approximate the Brinkman-Forchheimer equations. Finally, we propose a time discretization of the perturbed system by a semi-implicit Euler scheme and next a lowest-order Raviart-Thomas element is applied for spatial discretization. Some numerical results are given.

Citation

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Mohammed Louaked. Nour Seloula. Shuyu Sun. Saber Trabelsi. "A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations." Differential Integral Equations 28 (3/4) 361 - 382, March/April 2015.

Information

Published: March/April 2015
First available in Project Euclid: 4 February 2015

zbMATH: 1340.35264
MathSciNet: MR3306568

Subjects:
Primary: 35B30, 35K55, 35Q35

Rights: Copyright © 2015 Khayyam Publishing, Inc.

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Vol.28 • No. 3/4 • March/April 2015
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