Fundamental Areas / Numerical Analysis of Partial Differential Equations
These figures show the two-domain geometry and boundaries, the approximated Brinkman vorticity magnitude, and the approximated velocity magnitude and vectors arising from the numerical simulation of flow in a porous medium with a smoothed V-shaped crack. The numerical approach is given by a suitable mixed finite element method solving the coupled Brinkman-Darcy problem involved. Further details can be found in:
Alvarez, M., Gatica, G.N. and Ruiz-Baier, R.: Analysis of a vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem. Preprint 2014-34, Centro de Investigacion en Ingenieria Matematica (CI²MA), Universidad de Concepcion, (2014).