This work is mainly concerned with the extension of hydrodynamics beyond the Navier–
Stokes equations, a regime known as Burnett hydrodynamics. The derivation of the Burnett …

Quasi-gas-dynamic Equations Page 1 Chapter 3 Quasi-gas-dynamic Equations In this
chapter, we present two variants of constructing the quasi-gas-dynamic system, which allow us …

The Boltzmann equation describes the dynamics of rarefied gas flows, but the
multidimensional nature of its collision operator poses a real challenge for its numerical …

This paper describes an Adaptive Mesh and Algorithm Refinement (AMAR) methodology for
multi-scale simulations of gas flows and the challenges associated with extending this …

Recently a discrete unified gas kinetic scheme (DUGKS) in a finite-volume formulation
based on the Boltzmann model equation has been developed for gas flows in all flow …

Although the fast spectral method has been established for solving the Boltzmann equation
for single-species monatomic gases, its extension to gas mixtures is not easy because of the …

The discrete unified gas kinetic scheme (DUGKS) was originally developed for single-
species flows covering all the regimes, whereas the gas mixtures are more frequently …

In this work, we propose a new Galerkin–Petrov method for the numerical solution of the
classical spatially homogeneous Boltzmann equation. This method is based on an …

Gas mixtures are important for many practical applications. Extending kinetic model
equations of the Bhatnagar–Gross–Krook (BGK) type from a single-species gas to a multi …

In the present paper a new numerical method for the Boltzmann equation is developed. The
gain part of the collision integral is written in a form which allows its numerical computation …