ABSTRACT We review Monte Carlo methods for solving the Boltzmann equation for
applications to small-scale transport processes, with particular emphasis on nanoscale heat …

The accuracy of a recently proposed direct simulation Monte Carlo (DSMC) algorithm,
termed “sophisticated DSMC,” is investigated by comparing simulation results to analytical …

The Direct Simulation Monte Carlo (DSMC) method models fluid flows using simulation
particles which represent a large number of real molecules in a probabilistic simulation to …

A previously developed hybrid particle-continuum method JB Bell, A. Garcia, and SA
Williams, Multiscale Model. Simul., 6 (2008), pp. 1256–1280 is generalized to dense fluids …

Rare ed gas ows around a NACA 0012 airfoil are simulated using both particle and
continuum approaches. Three different conditions are considered: supersonic, transonic …

A computational investigation has been carried out to examine a non-reacting rarefied
hypersonic flow over cavities by employing the Direct Simulation Monte Carlo (DSMC) …

Mixing in microchannels is an important problem because the flow is always laminar flow
even though the velocity may be high. The present paper analyzes the inherent factors …

In this paper, a computational investigation of hypersonic rarefied gas flows in the
transitional flow regime over 3D cavities is carried out by using the direct simulation Monte …

Molecular simulations of sound waves propagating in a dilute hard sphere gas have been
performed using the direct simulation Monte Carlo method. A wide range of frequencies is …

We present an extension of the existing continuum theory for sound wave propagation in
dilute gases in “narrow” two-dimensional channels to arbitrary Knudsen numbers; the theory …