Table of Contents

Articles on lattice Boltzmann

The following is a selection of articles which illustrate or elaborate on a point raised on LBMethod.org. Use the following links

Theory of the LB method

2006X. Shan e.a.Kinetic theory representation of hydrodynamics: a way behond the Navier-Stokes equation
2006J. Latt and B. ChopardLattice Boltzmann method with regularized non-equilibrium distribution functions
2003P. DellarIncompressible limits of lattice Boltzmann equations using multiple relaxation times
2002B. Chopard e.a.Cellular Automata and Lattice Boltzmann techniques: an approach to model and simulate complex systems
2002Z. Guo e.a.Discrete lattice effects on the forcing term in the lattice Boltzmann method
2002D. d'Humières e.a.Multiple-relaxation-time lattice Boltzmann models in three-dimensions
1998X. He, X. Shan and G. DoolenDiscrete Boltzmann equation model for nonideal gases
1998S. Chen and G. DoolenLattice Boltzmann method for fluid flows
1997X. He and L.-S. LuoTheory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
1988G. McNamara and G. ZanettiUse of the Boltzmann equation to simulate lattice-gas automata

Complex fluids

2002Z. Guo e.a.A coupled lattice BGK model for the Boussinesq equations
1993X. Shan and H. ChenLattice Boltzmann model for simulating flows with multiple phases and components

Fluid turbulence

1998C. M. TeixeiraIncorporating turbulence models into the Lattice-Boltzmann Method

Boundary and Initial Conditions

2008J. Latt e.a.Straight velocity boundaries in the lattice Boltzmann method
2002Z. Guo e.a.An extrapolation method for boundary conditions in lattice Boltzmann method
2001M. Bouzidi e.a.Momentum transfer of a Boltzmann-lattice fluid with boundaries
1997Q. Zou and X. HeOn pressure and velocity boundary conditions for the lattice Boltzmann BGK model
1995T. Inamuro e.a.A non-slip boundary condition for lattice Boltzmann simulations
1993P. A. SkordosInitial and boundary conditions for the lattice Boltzmann method

Grid refinement and other numerical techniques

Benchmarks and applications

2006S. Geller e.a.Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows