Numerical Simulations of Viscous Flows around Impulsive Started Bodies by Lagrangian Vortex Method

Abstract

This paper is concerned with the simulation of 2D incompressible unsteady viscous flows past bodies, using the vorticity formulation of the Navier-Stokes equations. A Lagrangian vortex method is implemented to solve the vorticity transport equation with a vorticity boundary condition. The Biot-Savart integral is used to compute the velocity field from a vorticity distribution over a fluid domain. The vorticity boundary condition is improved by the use of an iteration scheme connected with the well-established panel method. In the early stages of development of flows past an impulsively started hydrofoil with varying angles of attack, the computational results obtained by the Lagrangian vortex method are compared with the experimental results observed by Huang et al.