A New Vortex Method for Modelling Two-Dimensional, Unsteady, Incompressible, Viscous Flows. G.U. Aero Report 9245

This report presents details of a new mathematical model of viscous, incompressible, unsteady flow around multiple closed bodies. A system of vortex particles is employed in the model, on all solid boundaries and in the wake, to represent quantities of vorticity. The method is a Lagrangian technique and does not require the generation of a flow mesh. A review of recent advances in vortex modelling is provided in the Introduction. Many of these ideas are incorporated into the model or are planned for future inclusion. Section 2 is the main core of the report where the theoretical development of the model is presented. The extensive numerical details have been omitted and will be presented in a future report. Conclusions are made regarding the development of the model and the verification procedure required to validate the algorithm