This is part of my thesis work at Clemson University. You can access my thesis here. It couples the Darcy and Stokes equations to model a filtration problem. The associated publication is: A deposition model coupling Stokes’ and Darcy’s equations with nonlinear deposition. This work is based on some results from the paper Nonlinear Darcy fluid flow with deposition. Most of this work is related to the Finite Element Method. Some filtration simulations associated to the Nonlinear Darcy problem can be found here.
JRR3/Stokes-Darcy
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