DISSIPATIVE HYDRODYNAMIC INTERACTIONS VIA LATTICE-GAS CELLULAR AUTOMATA

A three-dimensional lattice-gas model has been used to determine the dissipative hydrodynamic interactions between spherical particles. When the particles are close together the accuracy of the lattice-gas simulations is superior to typical integral-equation solutions of the creeping-flow equations. Moreover, the computational requirements scale linearly with system size, instead of quadratically or cubically. A new set of microrules have been implemented, which simulate a constant-velocity, no-slip boundary condition at the solid-fluid surfaces. Numerical results for various drag coefficients are reported. © 1990 American Institute of Physics.