Investigation of Two-dimensional Discrete Vortex Method with Viscous Diffusion Model

Abstract

The discrete vortex method has been used for incompressible high Reynolds number flows as a simple numerical simulation method. Ohgami and Akamatsu proposed the viscous diffusion model, and applied the vortex method to simulate viscous flow. In this study, we estimate the accuracy of this model both mathematically and numerically, and then show the computational procedures of this method for the case of application to an arbitrarily shaped body. In the discrete vortex method, the surface pressure distribution is calculated conventionally from the unsteady Bernoulli equation, but it is not available for viscous flow. We propose a simple method based on the boundary element method to calculate the pressure distribution for the discrete vortex method with the viscous diffusion model.