Lattice Boltzmann method is relatively new method in the field of computational fluid dynamics. It has been derived from lattice gas automata and is still under development. Basic steps of the LBM (collision, streaming, boundary conditions, macroscopic quantities) will be presented. Comparison with the finite difference method that uses Navier-Stokes equation on a lid driven cavity benchmark te...

In this chapter, we present a GPU-based implementation of a photon transport model that is particularly effective in global illumination of participating media, including atmospheric geometry such as clouds, smoke, and haze, as well as densely placed, translucent surfaces. The model provides the “perfect” GPU application in the sense that the kernel code can be structured to minimize control fl...

A model for real-time generation of deep-water waves is suggested. It is based on a lattice-Boltzmann (LB) technique. Computation of wave dynamics and (ray-traced) rendering for a lattice of size 1024 can be carried out simultaneously on a single graphics card at 25 frames per second. In addition to the computational speed, the LB technique is seen to offer a simple and physically accurate meth...

We introduce a lattice Boltzmann computational scheme capable of modeling ther-mohydrodynamic flows of monatomic gases. The parallel nature of this approach provides a numerically efficient alternative to traditional methods of computational fluid dynamics. The scheme uses a small number of discrete velocity states and a linear, single-time-relaxation collision operator. Numerical simulations i...

Xiaoyi He1,2,* and Li-Shi Luo Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 Complex Systems Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 ICASE, MS 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001 ~Received 29 April 1997; revised ma...

A new technique for lighting participating media is suggested. The technique is based on the lattice-Boltzmann method, which is gaining popularity as alternative to finite-element methods for flow computations, due to its ease of implementation and ability to handle complex boundary conditions. A relatively simple, grid-based photon transport model is postulated and then shown to describe, in t...

– The lattice Boltzmann algorithm efficiently simulates the Navier Stokes equation of isothermal fluid flow, but ignores thermal fluctuations of the fluid, important in mesoscopic flows. We show how to adapt the algorithm to include noise, satisfying a fluctuation-dissipation theorem (FDT) directly at lattice level: this gives correct fluctuations for mass and momentum densities, and for stress...

A model for real-time generation of deep-water waves is suggested. It is based on a lattice-Boltzmann (LB) technique. Computation of wave dynamics and (ray-traced) rendering for a lattice of size 1024 can be carried out simultaneously on a single graphics card at 25 frames per second. In addition to the computational speed, the LB technique is seen to offer a simple and physically accurate meth...

In this paper we present lattice Boltzmann (LB) schemes for convection diffusion coupled to fluid flow on two-dimensional rectangular lattices. Via inverse Chapman-Enskog analysis of LB schemes including source terms, we show that for consistency with physics it is required that the moments of the equilibrium distributions equal those of the Maxwell-Boltzmann distribution. These constraints can...