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Lattice Boltzmann methods

LC control no.sh2008008129
Topical headingLattice Boltzmann methods
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Variant(s)LBMs (Computational fluid dynamics)
See alsoComputational fluid dynamics
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Transport theory
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Found inWork cat.: Parker, James Muirhead. A novel lattice Boltzmann method for treatment of multicomponent convection, diffusion, and reaction phenomena in multiphase systems, 2008.
McGraw-Hill dictionary of scientific and technical terms, 2003 (lattice Boltzmann method: a numerical method of solving the Boltzmann transport equation, using a finite difference approximation on a discrete phase space in which both discrete particle velocities and discrete spatial locations are assumed)
Wikipedia, accessed, Oct. 14, 2008 (Lattice Boltzmann methods (LBM) is a class of computational fluid dynamics (CFD) methods for fluid simulation. Instead of solving the Navier Stokes equations, the discrete Boltzmann equation is solved to simulate the flow of a Newtonian fluid with collision models such as Bhatnagar-Gross-Krook (BGK). By simulating the interaction of a limited number of particles the viscous flow behavior emerges automatically from the intrinsic particle streaming and collision processes)
Lallemand, Pierre. Theory of the lattice Boltzmann method : dispersion, dissipation, isotropy, Galilean invariance, and stability, 2000.
Luo, Li-Shi. Theory of the lattice Boltzmann method : lattice Boltzmann models for non-ideal gases, 2001.