Dual Grid Lattice Boltzmann method for multiphase flows

We present a new methodology for implementing multiphase flow solvers using the Lattice Boltzmann method. Two grids of different size are used to discretize the momentum and the order parameter so that derivatives of the latter (responsible for the forcing terms at the interfaces) are calculated with high accuracy while maintaining a moderate computational cost. We apply the technique to two recently proposed formulations of the multiphase Lattice Boltzmann method, and show that this technique produces significant improvements over a homogeneous mesh refinement in both cases. Copyright (C) 2010 John Wiley & Sons, Ltd.