Lattice-gas and lattice-Boltzmann models of miscible fluids

DOI10.1007/BF01341756zbMath0925.82035OpenAlexW2081053368MaRDI QIDQ1379422

Richard Holme, Daniel H. Rothman

Publication date: 2 November 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01341756

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of liquids (82D15) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

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Cites Work

• Low-viscosity lattice gases
• Cellular automaton fluids. I: Basic theory
• Immiscible cellular-automaton fluids.
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Cusp Development in Hele–Shaw Flow with a Free Surface
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