A numerical scheme for particle-laden thin film flow in two dimensions

Theory for shock dynamics in particle-laden thin films.

We present a theory to explain the emergence of a particle-rich ridge observed experimentally in a thin film particle-laden flow on an incline. We derive a lubrication theory for this system which is qualitatively compared to preliminary experimental data. The ridge formation arises from the creation of two shocks due to the differential transport rates of fluid and particles. This parallels re...

A Theory for Shock Dynamics in Particle-Laden Thin Films

We present a theory to explain the emergence of a particle-rich ridge observed experimentally in thin film particle-laden flow on an incline. We derive a lubrication theory for this system which is qualitatively compared to preliminary experimental data. The ridge formation arises from the creation of two shocks due to the differential transport rates of fluid and particles. This parallels rece...

development of an explicit eulerian method for treating particle laden turbulent flow in dust collectors

Hyperbolic systems of conservation laws in gravity-driven, particle-laden thin-film flows

Our study focuses on gravity-driven, particle-laden flows which are pertinent to a wide range of industrial and geophysical settings in which transport of suspensions occur. In the present study we employ a previously derived model [1] which uses the lubrication approximation to describe particle-laden films on an incline. The model consists of a coupled system of hyperbolic conservation laws f...

Robust Simulation of Small-Scale Thin Features in SPH-based Free Surface Flows

Smoothed particle hydrodynamics (SPH) is efficient, mass preserving, and flexible in handling topological changes. However, small-scale thin features are difficult to simulate in SPH-based free surface flows, due to a number of robustness and stability issues. In this paper, we address this problem from two perspectives: the robustness of surface forces and the numerical instability of thin fea...