Department of Aerospace Engineering, University of Glasgow
Abstract
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
