This article discusses the development of continuum models to describe processes in gases
in which the particle collisions cannot maintain thermal equilibrium. Such a situation typically …

This contribution presents a comprehensive overview of lattice Boltzmann models for non-
ideal fluids, covering both theoretical concepts at both kinetic and macroscopic levels and …

In this work we present a general derivation of relativistic fluid dynamics from the Boltzmann
equation using the method of moments. The main difference between our approach and the …

Our aim is to propose a theory which goes beyond the classical formulation of
thermodynamics. This is achieved by enlarging the space of basic independent variables …

The method of moments is employed to extend the validity of continuum-hydrodynamic
models into the transition-flow regime. An evaluation of the regularized 13 moment …

Boundary conditions are the major obstacle in simulations based on advanced continuum
models of rarefied and micro-flows of gases. In this paper, we present a theory how to …

In this work we present a finite difference scheme to compute steady state solutions of the
regularized 13 moment (R13) equations of rarefied gas dynamics. The scheme allows fast …

The use of moment closures for the prediction of continuum and moderately non-equilibrium
flows offers modelling and numerical advantages over other methods. The maximum …

We present a general framework for constructing trans-scale discrete Boltzmann models
(DBMs) for high-speed compressible flows ranging from continuum to transition regime. This …

The regularized 13-moment equations for rarefied gas flows are considered for planar
microchannel flows. The governing equations and corresponding kinetic boundary …