Fundamental Areas / Numerical Analysis of Partial Differential Equations
The above figures show the numerical simulation of the velocity for the Brinkman problem in a contracting channel with a porous obstacle (the rectangle on the middle) under a decreasing finite sequence of the permeability of the obstacle. These results are obtained by an augmented mixed finite element method applied to a velocity-vorticity-pressure formulation of the corresponding model. Further details can be found in:
Anaya, V., Gatica, G.N., Mora, D. and Ruiz-Baier, R.: An augmented velocity-vorticity-pressure formulation for the Brinkman problem. Preprint 2014-11, Centro de Investigacion en Ingenieria Matematica (CI²MA), Universidad de Concepcion, (2014).