Improved Approximation of the Brinkman Equation Using a Lattice Boltzmann Method.
Improved Approximation of the Brinkman Equation Using a
Lattice Boltzmann Method.
Martys, N. S.
Physics of Fluids, Vol. 13, No. 6, 1807-1810, June
equations; Brinkman equation; lattice Boltzmann;
permeability; porous media; stokes equations
In this brief communication, it is shown how to properly
generalize the lattice Boltzmann method to produce fluid
flow consistent with the Brinkman equation. The method
described in this communication avoids second order
errors in velocity that occur in a previously proposed
lattice Boltzman-based model.