The motivation of the current paper is to provide a detailed review of crucial topics in micro-
and nanoscale gas flows, ie, velocity slip and temperature jump phenomena and their …

Accurate modeling of gas microflow is crucial for the microfluidic devices in MEMS. Gas
microflows through these devices are often in the slip and transition flow regimes …

In the subsurface, fluids play a critical role by transporting dissolved minerals, colloids, and
contaminants (sometimes over long distances); by mediating dissolution and precipitation …

In the 50 years since its invention, the acceptance and applicability of the DSMC method
have increased significantly. Extensive verification and validation efforts have led to its …

We present predictions for the statistical error due to finite sampling in the presence of
thermal fluctuations in molecular simulation algorithms. Specifically, we establish how these …

This paper reviews basic results and recent developments in the field of small-scale
gaseous hydrodynamics which has received significant attention in connection with small …

The discovery of governing equations from data is revolutionizing the development of some
research fields, where the scientific data are abundant but the well-characterized …

Micro gas flows are often encountered in MEMS devices and classical CFD could not
accurately predict the flow and thermal behavior due to the high Knudsen number …

Adaptive mesh and algorithm refinement (AMAR) embeds a particle method within a
continuum method at the finest level of an adaptive mesh refinement (AMR) hierarchy. The …

We propose a continuous-time formulation of the direct simulation Monte Carlo that allows
the evaluation of the transport coefficient dependence on the time step through the use of …