Porous media

In a model of porous media, the fluid domain has a certain permeability described by a permeability matrix K, which prescribes a permeability which can be different in each flow direction. In the simplest case K is a scalar, corresponding to an isotropic permeability in all directions. 

In the course GitHub repo, a template file is added which implements a Navier-Stokes-Brinkman model for porous media:  

Navier-Stokes-Brinkman equations, FEniCS Jupiter notebook (GitHub) Links to an external site. 

To read more about the model, see e.g. 

Fuchsberger, Jana et al. "On the incorporation of obstacles in a fluid flow problem using Navier-Stokes-Brinkman penalisation approach, arXiv 2021. Links to an external site. 

Zhang Jian et al. "Study of wind break performance of tree canopy by numerical simulation method", The Journal of Computational Multiphase Flow, 2018. Links to an external site.  

Acker, Matthew R., "A 2D DFC simulation for wind turbine wakes using a porous element", MSc thesis Northern Arizona University, 2018. Links to an external site.