A Vortex Dynamic Equation for Sediment Transport

Abstract

This work presents a new vortex dynamic equation for quasi-geostrophic flows over strongly variable sediment bottoms. The equation considers erosion/deposition exchanges near the bottom and the geometrical changes of the bed interface, extending some of the most commonly used vortex dynamic equations in the literature. This new equation shows promise for further coastal engineering applications. The derivation of the vortex equation is presented in detail, including all physical and hydrodynamic mechanisms involved. Various variants of the vortex dynamic equation are also presented, which are particularly useful for multiphase turbulent flows. The advantages of our model are explained, and several observations are made.