Chopard, Luthi, Masselot. Cellular automata and lattice Boltzmann techniques.. An approach to model and plex systems (review, 1998)(137s).pdf

文档介绍：Cellular Automata and Lattice Boltzmann
T ec hniques
An Approac h to Mo del and Sim ulate
Complex Systems
Bastien Chopard
P ascal Luthi and Alexandre Masselot
Computer Scienc e Dep artment
Univ ersit y of Genev a
Genev a
Switzerland
Abstract
W e discuss the cellular automata approac h and its extensions
the lat
tice Boltzmann and m ultiparticle metho ds
The p oten tial of these tec h
niques is demonstrated in the case of mo plex systems
In par
ticular
w e consider applications tak en from v arious
elds of ph ysics
suc h
as reaction
di
usion systems
pattern formation phenomena
uid
o ws
fracture pro cesses and road tra
c mo dels
Con ten ts
The Cellular Automata approac h

In troduction

De
nition

CA as a mo del of the ph ysical w orld

Limitations
adv an tage
dra wbac ks and Extension

Examples of simple rules

Agro wthmodel

Ising
lik e dynamics

Comp etition mo dels and cell di
eren tiation

T ra
c mo dels

One
dimensional mo dels

A
D tra
c mo del

A simple gas
the HPP mo del

Random w alk

The tra v eling an t

P opulation dynamics

F rom micro
ph ysics to macro
ph ysics

TheFHPmodel

Micro dynamics

The macroscopic v ariables

Multiscale Chapman
Ensk og expansion

Chapman
Ensk og pro cedure

Balance equations

Lo cal equilibrium

Correction to