Local Brinkman Flow in Porous Media with Permeable Obstructions
Consider the local Brinkman flow in porous media with permeable obstructions such as Biofilm. We impose the parabolic inflow boundary condition and natural outflow boundary conditions. Numerical solution is obtained by using the MAC scheme which is a direct discretization using second order finite differences on a staggered grid. My code was written in MATLAB which is capable of generating numerical solutions with input image of any porous media.
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