Population balance modeling is an established framework to describe the dynamics of
particle populations in disperse phase systems found in a broad field of industrial, civil, and …

The 10 and 14-moment maximum-entropy methods are applied to the study of high-Mach-
number non-reacting crossflows past a flat plate at large degrees of rarefaction. The moment …

A tractable solution is proposed to a classical problem in kinetic theory, namely, given any
set of realizable velocity moments up to order 2n, a closure for the moment of order 2n+1 is …

As one of the main governing equations in kinetic theory, the Boltzmann equation is widely
utilized in aerospace, microscopic flow, etc. Its high-resolution simulation is crucial in these …

Starting from coupled Boltzmann–Enskog (BE) kinetic equations for a two-particle system
consisting of hard spheres, a hyperbolic two-fluid model for binary, hard-sphere mixtures is …

Achieving high mechanical performance in metallic materials requires precise control of the
inclusion population, and the treatment of liquid steel in gas-stirred ladles is crucial for …

Particle‐laden flows in a vertical channel were simulated using an Eulerian–Eulerian,
Anisotropic Gaussian (EE‐AG) model. Two sets of cases varying the overall mass loading …

Solving the population balance equation (PBE) for the dynamics of a dispersed phase
coupled to a continuous fluid is expensive. Still, one can reduce the cost by representing the …

Maximum-entropy moment methods allow for the modeling of gases from the continuum
regime to strongly rarefied conditions. The development of approximated solutions to the …

The dynamics of cavitation bubbles are important in many flows, but their small sizes and
high number densities often preclude direct numerical simulation. We present a …