With its roots in kinetic theory and the cellular automaton concept, the lattice-Boltzmann (LB)
equation can be used to obtain continuum flow quantities from simple and local update rules …

Accurate modeling of gas microflow is crucial for the microfluidic devices in MEMS. Gas
microflows through these devices are often in the slip and transition flow regimes …

This review summarizes the rigorous mathematical theory behind the lattice Boltzmann
equation (LBE). Relevant properties of the Boltzmann equation and a derivation of the LBE …

We develop a two-relaxation-time (TRT) Lattice Boltzmann model for hydrodynamic
equations with variable source terms based on equivalent equilibrium functions. A special …

Turbulent combustion sits at the interface of two important nonlinear, multiscale phenomena:
chemistry and turbulence. Its study is extremely timely in view of the need to develop new …

The aim of this paper is twofold: the first aim is to formulate and validate a multi-scale
discrete Boltzmann method (DBM) based on density functional kinetic theory for thermal …

The lattice Boltzmann method (LBM) has experienced tremendous advances and been well
accepted as a popular method for simulating various fluid flow problems in porous media …

Advancements in electronic performance result in a decrease in device size and increase in
power density. Because of these advancements, current cooling mechanisms for electronic …

We present the lattice Boltzmann equation (LBE) with multiple relaxation times (MRT) to
simulate pressure-driven gaseous flow in a long microchannel. We obtain analytic solutions …

Owing to its kinetic nature and distinctive computational features, the lattice Boltzmann
method for simulating rarefied gas flows has attracted significant research interest in recent …