▪ Abstract We present an overview of the lattice Boltzmann method (LBM), a parallel and
efficient algorithm for simulating single-phase and multiphase fluid flows and for …

Since the subject of traffic dynamics has captured the interest of physicists, many surprising
effects have been revealed and explained. Some of the questions now understood are the …

We propose the lattice BGK models, as an alternative to lattice gases or the lattice
Boltzmann equation, to obtain an efficient numerical scheme for the simulation of fluid …

We introduce a stochastic discrete automaton model to freeway traffic. Monte-Carlo
simulations of the model show a transition from laminar traffic flow to start-stop-waves with …

In recent years, stylized forms of the Boltzmann equation, now going by the name of" Lattice
Boltzmann equation"(LBE), have emerged, which relinquish most mathematical complexities …

We present a novel method for simulating hydrodynamic phenomena. This particle-based
method combines features from molecular dynamics and lattice-gas automata. It is shown …

A lattice Boltzmann model is developed which has the ability to simulate flows containing
multiple phases and components. Each of the components can be immiscible with the others …

Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered
in condensed matter physics and statistical mechanics, this book provides an introduction to …

Plasticity of cancer invasion and metastasis depends on the ability of cancer cells to switch
between collective and single-cell dissemination, controlled by cadherin-mediated cell–cell …

The stochastic differential equations corresponding to the updating algorithm of Dissipative
Particle Dynamics (DPD), and the corresponding Fokker-Planck equation are derived. It is …