By taking into account the inhomogeneity introduced by the presence of a solid boundary,
slip-flow theory extends the range of applicability of the venerable Navier–Stokes …

In the past decade, the particle-based Fokker–Planck (FP) method has been extensively
studied to reduce the computational costs of the direct simulation Monte Carlo method for …

The unified gas-kinetic wave–particle method (UGKWP) has been developed for the
multiscale gas, plasma, and multiphase flow transport processes for the past years. In this …

We introduce a framework for generating samples of a distribution given a finite number of
its moments, targeted at particle-based solutions of kinetic equations and rarefied gas flow …

Simulations of nonequilibrium gas flows have garnered significant interest in modern
engineering problems involving rarefied gas flow characteristics. Despite the popularity of …

Experimental and theoretical studies on millimetre-sized droplets suggest that at low
Reynolds number the difference between the drag force on a circulating water droplet and …

Abstract A new Micro-Macro-Surrogate (MMS) hybrid method is presented that couples the
Direct Simulation Monte Carlo (DSMC) method with Computational Fluid Dynamics (CFD) to …

Simulations of large density gradients present a number of challenges for direct Monte Carlo
methods, since they lead to too few particles in dilute regions and prohibitively many in the …

We develop an importance-weight-based variance reduction method for direct Monte Carlo
simulations of the Fokker-Planck equation with applications to rarefied gas and plasma …

We report flow statistics and visualizations from molecular-gas-dynamics simulations using
the direct simulation Monte Carlo (DSMC) method for turbulent Couette flow in a minimal …