We prepose a 5-bit lattice Boltzmann model for KdV equation. Using Chapman-Enskog expansion and multiscale technique, we obtained high order moments of equilibrium distribution function, and the 3rd dispersion coefficient and 4th order viscosity. The parameters of this scheme can be determined by analysing the energy dissipation. KEY WORDS: lattice Boltzmann method, KdV equation, multiscale technique, 5-bit lattice, conservational law in time scale to O(e3). e is Knudsen number.
LATTICE BOLTZMANN MODEL
The Definition of Macroscopic QuantityConsider a one dimensional model, we discrede the velocity of particles into four directions, a lattice with unit spacing is used in which each node has four nearest neighbors connected by four links. The distribution function f~ is the probability of finding a particle
This article contributes. to the variation of a shearing,flownear the entvance of a b!,pass with a ball in it. ,In order to ,fit more complicated geometry, the fir&e element method is used. Especially, the automatic FEM Code Composition Systee is used. It reduces the computing work tremendously.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.