This paper by Li et al. of SUNY Stony Brook describes the acceleration of the computation of Lattice-Boltzmann methods on graphics hardware, by grouping particle packets into 2D textures and mapping the Boltzmann equations completely to the rasterization and frame buffer operations. The LBM is then used to simulate smoke.(Implementing Lattice Boltzmann Computation on Graphics Hardware. Wei Li, Xiaoming Wei, and Arie Kaufman. To appear in The Visual Computer.)

Harris et al. at UNC Chapel Hill use programmable graphics hardware for real-time visual simulation of diverse dynamic phenomena. The simulations use an extension of cellular automata known as coupled map lattice (CML). (Follow this link for more info, papers, videos, and demos.)