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Lattice Boltzmann Representations of Neutral Gas Hydrodynamics
Author(s) -
Krasheninnikov S. I.,
Catto Peter J.
Publication year - 1998
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150380156
Subject(s) - hpp model , lattice boltzmann methods , monatomic ion , monatomic gas , physics , lattice (music) , statistical physics , lattice gas automaton , navier–stokes equations , boltzmann equation , lattice model (finance) , classical mechanics , mechanics , quantum mechanics , compressibility , nuclear magnetic resonance , polymer , stochastic cellular automaton , automaton , astronomy , reynolds number , acoustics , turbulence
Lattice Boltzmann prescriptions attempt to replace continuous Navier‐Stokes equations with kinetic equations on a discrete lattice on which particles are only allowed to move to other lattice sites during each time step. We employ a Grad procedure to find the constraints which must be satisfied to model a monatomic gas in a long scale length limit. A non‐invariant form of the equilibrium function allows us to reduce the number of sub‐lattices which are needed to compensate for non‐physical lattice effects and recover the exact Navier‐Stokes equations.