Lattice Gas Hydrodynamics in Two and Three Dimensions

By U. Frisch, Dominique d'Humières, B. Hasslacher, Pierre Lallemand, Y. Pomeau, J. Rivet. 1987

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1. Zhaoli Guo
2. Qing Li
3. Y. Feng
4. K. Han
5. Paul J. Dellar
6. Yangyang He
7. Baochang Shi
8. Chong Pan

Citations in the corpus

• Algorithmic independence of initial condition and dynamical law in thermodynamics and causal inference (2015, background): “The transition from s to ¢ s can be seen as a naturalmodel of amixing process of a gas, as described by popular toymodels like lattice gases [51].”
• Advances, Applications and Performance of the Global Arrays Shared Memory Programming Toolkit (2006, methodology): “The lattice Boltzmann algorithm is a method for simulating hydrodynamic flows based on a discretized version of the Boltzmann equation and is distinguished by its simplicity and stability[83].”
• TeraFLOP computing on a desktop PC with GPUs for 3D CFD (2008, unknown): “Performing either a Chapman–Enskog (Frisch et al. 1987) or an asymptotic expansion (Inamuro et al. 1997, Junk et al. 2005) of Equation (2), it can be shown that the LBM is a scheme of first order in time and second order in space for the incompressible Navier–Stokes equations in the low Mach number…”
• Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation (2005, background): “(6) can be obtained by a standard Chapman–Enskog expansion [7] for a typical perturbation length e , where e is a small parameter.”
• An evaluation of lattice Boltzmann schemes for porous medium flow simulation (2006, background): “Historically, the lattice Boltzmann equation (LBE) for modeling hydrodynamics [1,2] originated from the latticegas cellular automata (LGCA) [3, 4 ].”
• Lattice-Boltzmann Simulations of Particle-Fluid Suspensions (2001, methodology): “The macrodynamical behavior arising from the lattice-Boltzmann equation can be found from a multi-time-scale analysis, (41) using an expansion parameter E, defined as the ratio of the lattice spacing to a characteristic macroscopic length; the hydrodynamic limit corresponds to E ° 1.”
• Flow patterns in the sedimentation of an elliptical particle (2009, methodology): “(2.5) After the streaming operation in the LBM, the distribution function along eα at the wall can be obtained using linear interpolation between the fluid node and the boundary node, fα(xw, t + δt) = fα(xf , t + δt) + [fα(xb, t + δt) − fα(xf , t + δt)].”