… Bhatnagar–Gross–Krook model, Discrete Boltzmann Models (DBMs) that consider various
orders of TNE effects are developed to study flows in various depths of TNE. In numerical tests…

… the depth of the phase separation procedure. More precisely, at t = 0.045, for the case of small
K = 10 −5 , numerous … separation depth for the three cases are almost the same; all cases …

… In this paper a Discrete Boltzmann Equation model (… system, resulting from the depth-averaging
procedure of mass and … Equation model (DBE) has been applied to the simulation of two-…

… In this report, we focus on the initial stage of depth filtration. Numerous models have been
proposed … The lattice–Boltzmann model thus has a completely discrete phase space and time. …

… equations may be divided by the depth y, which may be moved … It must be emphasized that
the discrete Boltzmann is not … capability of the Boltzmann scheme in modeling complex flow …

… scheme, lattice-Boltzmann discrete element method (LBDEM), for porous … simulation. The
LBDEM approach couples the lattice-Boltzmann method for fluid mechanics and a discrete …

… using a combined lattice Boltzmann method (LBM) and discrete element method (DEM). …
Boltzmann formulation for the solution of fluid flows, the incorporation of a large eddy simulation…

… interparticle interactions, lattice Boltzmann simulation provides an excellent alternative to …
a discrete Boltzmann equation for microfluidics that is based on the continuous Boltzmann …

… Boltzmann (LB) models – D2Q5 and D2Q9 in two dimensions with five and nine discrete …
The local equilibria in both the discrete velocity space and the moment space are provided …

… equations to obtain horizontal flow velocities in various depths. In the multilayer MRT-LBM, …
Boltzmann models and discrete Boltzmann models such as the lattice Boltzmann model. …