Vortex Flows and Related Numerical Methods

Many important phenomena in fluid motion are evident in vortex flows, i.e., flows in which vortical structures are significant in determining the whole flow. This text, which consists of lectures given at a NATO ARW held in Grenoble, France in June 1992, provides an up-to-date account of current research in the study of these phenomena by means of numerical methods and mathematical modelling. Such methods include Eulerian methods (finite difference, spectral and wavelet methods) as well as Lagrangian methods (contour dynamics, vortex methods) and are used to study such topics as 2- or 3-dimensional turbulence, vorticity generation by solid bodies, shear layers and vortex sheets, and vortex reconnection Designed for researchers and graduate students in computational fluid dynamics, numerical analysis and applied mathematics.