A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations
2015
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.
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