Fluid flow is simulated by a massively parallel data processor having combinational logic for processing collision rules at lattice sites. Following collision processing, particle representations are moved to different sites dependent on direction and velocity of the particles. The collision rules are based on collisions of particles positioned at sites of a three-dimensional lattice. Particle representations identify particles of plural energy levels, and the collision rules allow for transfer of energy between particles. Particle representations relate to particles which move along four-dimensional face-centered hypercube lattices which project to the three-dimensional lattice. The lattice may include interfacing grids of different unit dimensions depending on the resolution required in individual volumes of space.