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

Granular materials, like sand, powder or grains present intriguing phenomena. Vibration and
shearing can lead to convective motion and segregation. A variation of stress may cause …

Rarefied gas flows in channels, pipes, and ducts with smooth surfaces are studied in a wide
range of Knudsen number (Kn) at low Mach number (M) with the objective of developing …

Using data samples of 89.5 and 711 fb-1 recorded at energies of s= 10.52 and 10.58 GeV,
respectively, with the Belle detector at the KEKB e+ e-collider, we report measurements of …

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 …

The primary concern of computational fluid dynamics is the development and application of
numerical methods to solve the partial differential equations of hydrodynamics. 1 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 …

A detailed analytical and numerical analysis of a recently introduced stochastic model for
fluid dynamics with continuous velocities and efficient multi-particle collisions is presented. It …

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 …

Using the Green–Kubo theory, the dependence of the viscosity and thermal conductivity on
cell size is obtained explicitly for stochastic particle methods such as direct simulation Monte …