This review article aims to provide a comprehensive and understandable account of the
theoretical foundation, modeling issues, and numerical implementation of the Lagrangian …

The revised Enskog theory for inelastic hard spheres is considered as a model for rapid flow
granular media at finite densities. A normal solution is obtained via the Chapman-Enskog …

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 …

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 …

Granular materials are ubiquitous in nature and are also employed in many industrial
settings such as those involving chemical processes, pharmaceutical products, mining, and …

The dynamics for a system of hard spheres with dissipative collisions is described at the
levels of statistical mechanics, kinetic theory, and simulation. The Liouville operator (s) and …

Abstract Direct Monte Carlo simulations of the Enskog-Boltzmann equation for a spatially
uniform system of smooth inelastic spheres are performed. In order to reach a steady state …

The homogeneous cooling state of a granular flow of smooth spherical particles described
by the Boltzmann equation is investigated by means of the direct simulation Monte Carlo …

We derive from the first principles new hydrodynamic equations—Smoluchowski-Euler
equations for aggregation kinetics in space-inhomogeneous fluids with fluxes. Starting from …

The aim of the present study is to develop the method of determining the kinetic boundary
condition (KBC) at a vapor-liquid interface in net evaporation/condensation. We proposed a …