Shale gas, although unconventional, is a prospective clean energy source. Shale gas
production is a complex multi-scale process with its spatial size ranging from the nanoscale …

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 …

Lattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of
complex fluid systems and has attracted interest from researchers in computational physics …

Based on the Boltzmann-BGK (Bhatnagar-Gross-Krook) equation, in this paper a discrete
unified gas kinetic scheme (DUGKS) is developed for low-speed isothermal flows. The …

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 …

The lattice Boltzmann method (LBM) has experienced tremendous advances and has been
well accepted as a useful method to simulate various fluid behaviors. For computational …

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 …

A lattice Boltzmann model with a multiple-relaxation-time (MRT) collision operator for the
convection–diffusion equation is presented. The model uses seven discrete velocities in …

We propose a thermal boundary condition treatment based on the “bounce-back” idea and
interpolation of the distribution functions for both the Dirichlet and Neumann (normal …

The geometric complexity of the 3D pore-fracture system of tight rock at the pore-scale is a
primary challenge for the prediction of gas flow. In this paper, the 3D pore-fracture systems …