Cellular automaton fluids 1: Basic theory

@article{Wolfram1986CellularAF,
  title={Cellular automaton fluids 1: Basic theory},
  author={S. Wolfram},
  journal={Journal of Statistical Physics},
  year={1986},
  volume={45},
  pages={471-526}
}
  • S. Wolfram
  • Published 1986
  • Mathematics
  • Journal of Statistical Physics
Continuum equations are derived for the large-scale behavior of a class of cellular automaton models for fluids. The cellular automata are discrete analogues of molecular dynamics, in which particles with discrete velocities populate the links of a fixed array of sites. Kinetic equations for microscopic particle distributions are constructed. Hydrodynamic equations are then derived using the Chapman-Enskog expansion. Slightly modified Navier-Stokes equations are obtained in two and three… Expand
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