====== 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 * to access [[literature:full_list|a more exhaustive list of articles]], * to learn [[literature:add_article_howto|how to add an article of your choice to the list]], or * to get {{literature:lbmethod.bib|a single BibTeX file with all articles}}. ===== Theory of the LB method ===== |2006|X. Shan e.a.|[[literature:shan_06|Kinetic theory representation of hydrodynamics: a way behond the Navier-Stokes equation]]| |2006|J. Latt and B. Chopard|[[literature:latt_06|Lattice Boltzmann method with regularized non-equilibrium distribution functions]]| |2003|P. Dellar|[[literature:dellar_03|Incompressible limits of lattice Boltzmann equations using multiple relaxation times]]| |2002|B. Chopard e.a.|[[literature:chopard_02|Cellular Automata and Lattice Boltzmann techniques: an approach to model and simulate complex systems]]| |2002|Z. Guo e.a.|[[literature:guo_02b|Discrete lattice effects on the forcing term in the lattice Boltzmann method]]| |2002|D. d'Humières e.a.|[[literature:dhumieres_02|Multiple-relaxation-time lattice Boltzmann models in three-dimensions]]| |1998|X. He, X. Shan and G. Doolen|[[literature:he_98|Discrete Boltzmann equation model for nonideal gases]]| |1998|S. Chen and G. Doolen|[[literature:chen_98|Lattice Boltzmann method for fluid flows]]| |1997|X. He and L.-S. Luo|[[literature:he_97|Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation]]| |1988|G. McNamara and G. Zanetti|[[literature:mcnamara_88|Use of the Boltzmann equation to simulate lattice-gas automata]]| ===== Complex fluids ===== |2002|Z. Guo e.a.|[[literature:guo_02c|A coupled lattice BGK model for the Boussinesq equations]]| |1993|X. Shan and H. Chen|[[literature:shan_chen_93|Lattice Boltzmann model for simulating flows with multiple phases and components]]| ===== Fluid turbulence ===== |1998|C. M. Teixeira|[[literature:teixeira_98|Incorporating turbulence models into the Lattice-Boltzmann Method]]| ===== Boundary and Initial Conditions ===== |2008|J. Latt e.a.|[[literature:latt_08|Straight velocity boundaries in the lattice Boltzmann method]]| |2002|Z. Guo e.a.|[[literature:guo_02|An extrapolation method for boundary conditions in lattice Boltzmann method]]| |2001|M. Bouzidi e.a.|[[literature:bouzidi_01|Momentum transfer of a Boltzmann-lattice fluid with boundaries]]| |1997|Q. Zou and X. He|[[literature:zou_he_97|On pressure and velocity boundary conditions for the lattice Boltzmann BGK model]]| |1995|T. Inamuro e.a.|[[literature:inamuro_95|A non-slip boundary condition for lattice Boltzmann simulations]]| |1993|P. A. Skordos|[[literature:skordos_93|Initial and boundary conditions for the lattice Boltzmann method]]| ===== Grid refinement and other numerical techniques ===== ===== Benchmarks and applications ===== |2006|S. Geller e.a.|[[literature:geller_06|Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows]]|