Journal ArticleDOI
Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method.
TLDR
This paper shows that both of these effects of a non-Galilean invariance caused by a density-dependent coefficient in the convection term can be eliminated exactly in a lattice Boltzmann-equation model.Citations
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Lattice boltzmann method for fluid flows
Shiyi Chen,Gary D. Doolen +1 more
TL;DR: An overview of the lattice Boltzmann method, a parallel and efficient algorithm for simulating single-phase and multiphase fluid flows and for incorporating additional physical complexities, is presented.
Journal ArticleDOI
Numerical simulations of particulate suspensions via a discretized boltzmann equation: part 1. theoretical foundation
TL;DR: In this article, a general technique for simulating solid-fluid suspensions is described, which combines Newtonian dynamics of the solid particles with a discretized Boltzmann equation for the fluid phase; the many-body hydrodynamic interactions are fully accounted for, both in the creeping flow regime and at higher Reynolds numbers.
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On pressure and velocity flow boundary conditions and bounceback for the lattice Boltzmann BGK model
TL;DR: In this paper, Chen et al. used the half-way wall bounceback boundary condition for the 2-D Poiseuille flow with forcing to obtain second-order accuracy for the 3-D square duct flow.
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Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability
Pierre Lallemand,Li-Shi Luo +1 more
TL;DR: The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a generalized lattice Boltzmann equation (LBE) is studied in detail and linear analysis of the LBE evolution operator is equivalent to Chapman-Enskog analysis in the long-wavelength limit (wave vector k=0).
Journal ArticleDOI
On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
TL;DR: The half-way wall bounceback boundary condition is also used with the pressure ~density! inlet/outlet conditions proposed in this article to study 2-D Poiseuille flow and 3-D square duct flow.