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Improved Approximation of the Brinkman Equation Using a Lattice Boltzmann Method.


pdf icon Improved Approximation of the Brinkman Equation Using a Lattice Boltzmann Method. (84 K)
Martys, N. S.

Physics of Fluids, Vol. 13, No. 6, 1807-1810, June 2001.

Keywords:

equations; Brinkman equation; lattice Boltzmann; permeability; porous media; stokes equations

Abstract:

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.