We use LVDSMC simulations to calculate the second-order temperature jump coefficient for a dilute gas whose temperature is governed by the Poisson equation with a constant forcing term. Both the hard sphere gas and the BGK model of the Boltzmann equation are considered. Our results show that the temperature jump coefficient is different from the well known linear and steady case where the tempe...

Purpose – The aim of the present study is to evaluate the accuracy and efficiency of Lattice-BGK (LBGK) method application in simulation of the 3D flow through complex geometry. On the other hand, the steady flows through vascular tube with Reynolds number 10-150 and different constriction spacing ratios are simulated. Design/methodology/approach – The numerical method is based on the LGBK meth...

A lattice Boltzmann model for binary mixtures is formally derived from a two-fluid kinetic model for Maxwell molecules by discretizing the Boltzmann equation. In this model, collisions among the same and different species are treated separately, as non-linear BGK terms, enabling the independent management of the species viscosities and thermal conductivities from the binary diffusion coefficien...

We present a numerical method for computing transitional flows as described by the BGK equation of gas kinetic theory. Using the minimum entropy principle to define a discrete equilibrium function, a discrete velocity model of this equation is proposed. This model, like the continuous one, ensures positivity of solutions, conservation of moments, and dissipation of entropy. The discrete velocit...

We present and analyse solutions of a recent derivation of a drift-diffusion model of miniband transport in strongly coupled superlattices. The model is obtained from a single-miniband Boltzmann–Poisson transport equation with a BGK (Bhatnagar–Gross–Krook) collision term by means of a consistent Chapman–Enskog expansion. The reduced drift-diffusion equation is solved numerically and travelling ...

The Bhatnagar-Gross-Krook (BGK) single-relaxation-time collision model for the Boltzmann equation serves as foundation of lattice BGK (LBGK) method developed in recent years. description a uniform relaxation process distribution function towards its equilibrium is, many scenarios, simplistic. Based on previous series papers, we present formulated independent relaxations irreducible components H...

Abstract Frequent observations of ion beams moving out from Saturn’s plasma environment hints at the generation Bernstein–Greene–Kruskal (BGK) modes. As environments Saturn and its moon Enceladus are characterized by ubiquitous presence massive negatively charged dust particles, existing BGK theory for electron-ion models cannot address this scenario. This manuscript develops a theoretical mode...