Abstract:
The present paper reports a cascaded collision lattice Boltzmann model for
the simulation of an incompressible two-dimensional fluid flow in a porous
media regime. The cascaded model is first validated for the nonporous
regime using limiting conditions against previous finite element model
reports. Subsequently, the cascaded collision model is applied to the liddriven porous-filled cavity to demonstrate the largely augmented numerical
stability of the model against the more common Bhatnagar–Gross–Krook
and multiple relaxation time collision models. Finally, the cascaded model is
applied to an inflow–outflow case of flow and heat transfer over a porous
bluff body to showcase its efficiency in capturing the complex fluid and heat
transport phenomenon through porous media.