1 research outputs found
Navier-Stokes/Forchheimer models for filtration through porous media
Modeling the filtration of incompressible fluids through porous media requires dealing
with different types of partial differential equations in the fluid and porous subregions of
the computational domain. Such equations must be coupled through physically significant
continuity conditions at the interface separating the two subdomains. To avoid the
difficulties of this heterogeneous approach, a widely used strategy is to consider the
Navier–Stokes equations in the whole domain and to correct them introducing suitable
terms that mimic the presence of the porous medium. In this paper we discuss these two
different methodologies and we compare them numerically on a sample test case after
proposing an iterative algorithm to solve a Navier–Stokes/Forchheimer problem. Finally, we
apply these strategies to a problem of internal ventilation of motorbike helmets