We establish forward and backward relations between entropy satisfying BGK models such as those introduced previously by the author and the rst order ux vector splitting numerical methods for systems of conservation laws. Classically, to a kinetic BGK model that is compatible with some family of entropies we can associate an entropy ux vector splitting. We prove that the converse is true: any e...

In this work a new class of numerical methods for the BGK model of kinetic equations is introduced. The schemes proposed are implicit with respect to the distribution function, while the macroscopic moments are evolved explicitly. In this fashion, the stability condition on the time step coincides with a macroscopic CFL, evaluated using estimated values for the macroscopic velocity and sound sp...

Abstract The unified stochastic particle method based on the Bhatnagar-Gross-Krook model (USP-BGK) has been proposed recently to overcome low accuracy and efficiency of traditional methods, such as direct simulation Monte Carlo (DSMC) method, for multi-scale gas flows. However, running with extra virtual particles space interpolation, previous USP-BGK cannot be directly transplanted into existi...

As one of the main governing equations in kinetic theory, Boltzmann equation is widely utilized aerospace, microscopic flow, etc. Its high-resolution simulation crucial these related areas. However, due to high dimensionality equation, simulations are often difficult achieve numerically. The moment method which was first proposed Grad (Commun Pure Appl Math 2(4):331–407, 1949) among popular num...

The purpose of this paper is to investigate the EGM method and the behavior of a solid particle suspended in a twodimensional rectangular cavity due to conjugate natural convection. A thermal lattice Boltzmann BGK model is implemented to simulate the two dimensional natural convection and the particle phase was modeled using the Lagrangian–Lagrangian approach where the solid particles are treat...

We consider the Bathnagar–Gross–Krook (BGK) model, an approximation of Boltzmann equation, describing time evolution a single momoatomic rarefied gas and satisfying same two main properties (conservation entropy inequality). However, in practical applications, one often has to deal with additional physical issues. First, does not consist only species, but it consists mixture different species. ...

An investigation of charging a spherical particle in partially ionized nonisothermal plasma is carried out on the basis numerical solution BGK (Bhatnagar–Gross–Krook) model kinetic equation. Stationary values charge and electron ion currents are calculated for various collisional regimes. It verified that, strongly regime, effective potential has Coulomb form at large distance from surface. A n...

The geographical distribution of herpes simplex virus type 1 (HSV-1) restriction fragment length polymorphism (RFLP) variants BgK(L) and BgO(L) and the high relative frequency (RF) of BgK(L) in orolabial lesions has led to a dispersion-replacement hypothesis for these variants. The pathogenic properties of HSV-1 variants in mice and professional sumo wrestlers were examined here. The wrestlers ...