University of Iowa, Iowa City, IA
Solution of two-dimensional, inviscid fluid flows is commonly performed using one of a class of numerical approaches that involve direct evolution of the vorticity field on a set of advected control points. This class of numerical methods, which we refer to as Lagrangian vorticity methods, includes vortex particle and blob methods, contour dynamics methods and vortex sheet methods. These methods offer efficient flow discretization, since control points are required to cover only the vorticity support and are advected about by the flow, and they are free from the effects of numerical diffusion without experiencing numerical stability difficulties. Despite these advantages, Lagrangian vortex methods have been slow in attaining widespread usage for more general three-dimensional, viscous flow problems. The talk will provide a status report on recent developments in Lagrangian vorticity methods, describing some of the challenging issues involved with more general usage of these methods and evaluating a variety of approaches for resolving these issues. The talk will focus particularly on incompressible, three-dimensional, viscous flows past immersed solid bodies. Some new results for Lagrangian solution of two-phase flows will also be described.
Please join us for refreshments before the lecture at 2:30p.m. in room 353 Jabara Hall.
[ Spring 1999]