Europhysics Letters (EPL) · 1986 · 384 citations · 5 references
Natural SciencesPhysicsComputational Fluid DynamicsComputational PhysicsFluid DynamicsGas-liquid FlowNavier-stokes EquationsBody-centered Cubic LatticeCubic Crystal LatticesCubic LatticesFace-centered Cubic LatticeLattice Gas ModelsLattice ModelsThree-dimensional Computational Fluid DynamicsThree-dimensional Flow Modeling
The 3D Navier-Stokes equations are obtained from two different lattice gas models. The first one has its sites on a cubic lattice and has particle speeds zero, one and √2. The second one is a 3D projection of a lattice gas implementation of the 4D Navier-Stokes equations, residing on a face-centred hypercubic lattice.
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Lattice-Gas Automata for the Navier-Stokes Equation
U. Frisch, B. Hasslacher, Yves Pomeau · Physical Review Letters · 1986 · 2.8K citations · Full text
Computing, Computer Science, Physics +15
Thermodynamics and Hydrodynamics for a Modeled Fluid
J. Hardy, Yves Pomeau · Journal of Mathematical Physics · 1972 · 69 citations
Theories of Transport in Fluids
H. S. Green · Journal of Mathematical Physics · 1961 · 56 citations