Author(s)

A. Font & R.W. Barber

Abstract

This paper describes a two-dimensional discrete vortex model for simulating the Navier-Stokes equations at low Reynolds numbers. The numerical model employs a novel form of 'viscous-splitting' technique to solve the vorticity- transport equation governing the evolution of vorticity. During the advective stage of the computation, a semi-Lagrangian scheme is used to update the vortex positions, whilst an analytical diffusion algorithm employing Oseen vortices is implemented during the diffusive time step. Redistributing the vorticity analytically instead of using the more traditional random-walk diffusion method enables

Keywords