Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction

By Dieter A. Wolf-Gladrow. 2000

1,723 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Computer Vision and Pattern Recognition

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Citations in the corpus

Pinocchio: Nearly Practical Verifiable Computation (2013, methodology): “After all bases have been considered, we square the accumu-lator (to “move” the portion of the exponent we’ve computed into the next higher “slot”), and then repeat.”
Viscous flow computations with the method of lattice Boltzmann equation (2003, methodology): “In the last 15 years or so, there has been rapid progress in developing the method of the lattice Boltzmann equation (LBE) for solving a variety of fluid dynamic problems [1–17].”
Optimal Stability of Advection-Diffusion Lattice Boltzmann Models with Two Relaxation Times for Positive/Negative Equilibrium (2010, positive): “Developed for solving the Navier-Stokes equation, [3, 15, 16], then rapidly adapted for the diffusion equation [7, 35], the Lattice-Boltzmann schemes (LBE) become more and more popular for solving different problems governed by linear or non-linear, isotropic or anisotropic advection-diffusion equat”
Lattice Boltzmann method for modeling liquid‐vapor interface configurations in porous media (2004, methodology): “Chen and Doolen [1998] and Qian et al. [1995] prepared reviews of lattice Boltzmann methods for fluid flows, and a number of books are available [Rothman and Zaleski, 1997; Wolf-Gladrow, 2000; Succi, 2001].”
Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, methodology): “continuous Maxwell-Boltzmann distribution function [1, 11]”
Benchmark computations based on Lattice-Boltzmann, Finite Element and Finite Volume Methods for laminar Flows (2006, background): “It can be shown by a multi-scale expansion [1], that the dynamics of the moments in (4) are solutions of the incompressible Navier-Stokes equation if it is ensured that the flow velocity is small compared to the sound speed of the LB system and the relaxation time (in units of ∆t) is chosen as”
The lattice Boltzmann method for complex flows (2007, methodology): “of this LGCA ‘disease’ along with techniques of how to cure it can be found in [56,58,67].”
GPU Cluster for High Performance Computing (2004, methodology): “Between streaming steps, the Bhatnager, Gross, Krook (BGK) model is used to model collisions as a statistical redistribution of momentum, which locally drives the system toward equilibrium while conserving mass and momentum [31].”