Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic
scale resolved is the mesh size and time step. The CFD algorithm can be constructed …

The stochastic particle method based on Bhatnagar-Gross-Krook (BGK) or ellipsoidal
statistical BGK (ESBGK) model approximates the pairwise collisions in the Boltzmann …

Bhatnagar–Gross–Krook (BGK) models are widely used to study rarefied gas dynamics.
However, as simplified versions of the Boltzmann collision model, their performances are …

The force-driven Poiseuille flow of dense gases between two parallel plates is investigated
through the numerical solution of the generalized Enskog equation for two-dimensional hard …

It is well-known that the Boltzmann collision term can be simplified by Bhatnagar–Gross–
Krook (BGK) and Fokker–Planck (FP) models. These two kinetic models satisfy the …

Numerical solutions of the Enskog equation obtained employing a finite-difference lattice
Boltzmann (FDLB) and a direct simulation Monte Carlo–like particle method (PM) are …

For lattice Boltzmann (LB) models, their particle feature is ensured by the streaming–
collision mechanism. However, this mechanism is often discarded for high-order LB models …

The Boltzmann equation becomes invalid as the size of gas molecules is comparable with
the average intermolecular distance. A better description is provided by the Enskog collision …

To reduce the computational costs related to direct simulation Monte Carlo computations for
low Knudsen number flows, a new particle method, based on the ellipsoidal statistical …

The Ellipsoidal Statistical model (ES-model) and the Shakhov model (Smodel) were
constructed to correct the Prandtl number of the original BGK model through the modification …