In the past few years meshless methods for numerically solving partial differential equations
have come into the focus of interest, especially in the engineering community. This class of …

In this paper, we present a meshless discretization technique for instationary convection-
diffusion problems. It is based on operator splitting, the method of characteristics, and a …

The purpose of this note is to give an introductory overview of the different direct simulation
Monte Carlo (DSMC) methods for the numerical solution of the Boltzmann equation …

Stochastic numerical methods play an important role in large scale computations in the
applied sciences. Such algorithms are convenient, since inherent stochastic components of …

A criterion for automatic domain decomposition has been introduced for the coupling of the
Boltzmann and Euler equations. This criterion is obtained by using the Grad's 13-moments …

the solution or its gradient. These new discretization techniques are promising approaches
to overcome the severe problem of mesh-generation. Furthermore, the easy coupling of …

The evaporation of metallic elements in vacuum metallurgy is an issue of great industrial
concern. It is well known that a rarefied gas atmosphere raises the evaporation of the liquid …

The aim of this paper is to introduce and validate a coupled Navier–Stokes Boltzman
approach for the calculation of hypersonic rarefied flows around manoeuvering vehicles …

A numerical scheme for the nonstationary Boltzmann equation in the incompressible Navier--
Stokes limit is developed. The scheme is induced by the asymptotic analysis of the Navier …

We present a coupling procedure for two different types of particle methods for the
Boltzmann and the Navier–Stokes equations. A variant of the DSMC method is applied to …