Dilute gas-particle flows can be described by a kinetic equation containing terms for spatial transport, gravity, fluid drag, and particle-particle collisions. However, the direct numerical solution of the kinetic equation is intractable for most applications due to the large number of independent variables. A useful alternative is to reformulate the problem in terms of the moments of the veloc...

The Enskog–Vlasov equation is a phenomenological kinetic that extends the Enskog for dense (non-ideal) hard-sphere fluid by adding an attractive soft potential tail to purely repulsive contribution. Simplifying assumptions about pair correlations lead Vlasov-like self-consistent force field adds non-local collision integral. Within limitations imposed underlying assumptions, extension gives abi...

[1] Transient hydraulic tomography (THT) is a potentially cost-effective and highresolution technique for mapping spatial distributions of the hydraulic conductivity and specific storage in aquifers. Interpretation of abundant well hydrographs of a THT survey, however, is a computational challenge. We take on this challenge by developing an estimation approach that utilizes the zeroth and first...

Lattice Boltzmann equations for the isothermal Navier-Stokes equations have been constructed systematically using a truncated moment expansion of the equilibrium distribution function from continuum kinetic theory. Applied to the shallow water equations, with its different equation of state, the same approach yields discrete equilibria that are subject to a grid scale computational instability....