Vortex Dominated Flows 'A Volume Celebrating Lu Ting''s 80th Birthday'

Honoring the contributions of one of the field's leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena. The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective. Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled “Periodic vibrations of systems governed by nonlinear partial differential equations”, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differential equations of methods which, previously, had been used almost exclusively on ordinary differential equations. Professsor Lu Ting is an expert in both fluid dynamics and the use of matched asymptotic expansions. His physical insight into fluid flows has led the way to finding the appropriate mathematical simplications used in the solutions to many difficult flow problems. Contents:Circular Discrepancy and a Monte Carlo Algorithm for Generating a Low Circular Discrepancy SequencePeriodic and Quasiperiodic Motion of Point VorticesExperiments on Heave/Pitch Limit-Cycle Oscillations of a Supercritical Airfoil Close to the Transonic DipVortices in SuperconductorsAccurate Numerical Simulation of Three-dimensional Lid-driven Cavity Flows with Different Span LengthsGeometric, Stochastic and Algebraic VorticesExperimental Investigation and Numerical Simulation of Oblique Shock/Vortex InteractionBreakdown of Slender Vortices: The State of the ArtA Numerical Analysis of Vortex Dislocation in Wake-type Flow with Different Spanwise NonuniformityVortex Dipole Coordinates on the SphereMagneto-Fluid-Dynamic Flow ControlInteraction between Longitudinal Vortices and Normal and Oblique ShocksAnalysis of Rotor Vortex Wake Structure Using 3-C PIV MeasurementsTypical Vortex Phenomena in Flow Fields Past Space Vehicles Readership: Researchers in mathematics, aerospace engineering and physics who are interested in vortex dominated flows. Keywords:Vortex Dynamics;Vortex Breakdown;Dipoles;Superconductors;Shocks;Wavelets;Simulation;MHDKey Features:Honors the work of one of the greatest contributors to vortical flow research — Lu TingContains important new results, which also provide a rich and far-reaching context for the research presented