Vortex erosion in a shallow-water model

Real-Time Erosion Using Shallow Water Simulation

We present a new real-time hydraulic erosion simulation for Computer Graphics. In our system water runs over the surface and disintegrates the underlying layer of soil. The grit is simulated as a fluid with higher viscosity and moves on the ground of the water pool. When water evaporates, or the dissolved soil exceeds a critical level, the dissolved matter is deposited back on the ground for ac...

A new spherical shallow-water model: building in wave–vortex decomposition

A new approach to simulating spherical shallow-water flows is described and illustrated. The approach exploits the distinction between slow vortical motions and fast gravity waves at leading order. Contour advection is used for the vortical part, specifically for the potential vorticity. This allows an accurate representation of the vortical dynamics at modest grid resolution. New variables are...

A ‘‘vortex in cell” model for quasi-geostrophic, shallow water dynamics on the sphere

Article history: Received 15 July 2009 Received in revised form 29 December 2009 Accepted 4 January 2010 Available online 1 February 2010

Investigating vortex dynamics in shallow water with topography

A Shallow Water Spectral Wave Model

A shallow water spectral wave prediction model based on a numerical solution of the radiative transfer equation is presented. The model is second generation and uses a simple yet effective representation for the nonlinear source term. In addition, the model pays particular attention to the shallow water processes of refraction, shoaling, bottom friction, and wave breaking. The flexibility of th...