This is a comprehensive account of the asymptotic theory of slender vortices with diffusion cores. Addressed to both graduate students and researchers it describes the mathematical model and its numerical analysis. The asymptotic analysis involves two length and two time scales. Consistency conditions and time invariance of moments of vorticity are given and applied to numerical solutions. The authors also describe consistency conditions between the large circumferential and axial velocity in the core.

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"...an indispensable learning and reference source for anyone wishing to study the motion of viscous vortices...permeating the book is the obvious insight and intuition of Lu Ting into vortex dynamics and his record for translating this insight and intuition into practical methods and solutions" Max D. Gunzberger, Virginia Tech

Bibliographic Information

Book Title: Viscous Vortical Flows
Authors: Lu Ting, Rupert Klein
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/3-540-53713-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1991
Softcover ISBN: 978-3-662-13850-2Published: 17 April 2014
eBook ISBN: 978-3-540-47009-0Published: 05 August 2005
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: V, 222
Number of Illustrations: 18 b/w illustrations
Topics: Mathematical Methods in Physics, Numerical and Computational Physics, Simulation, Fluid- and Aerodynamics, Numerical Analysis

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Viscous Vortical Flows

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Table of contents (5 chapters)

Front Matter

Introduction

Vortex dominated flows and general theory

Motion and decay of vortex filaments

Numerical solutions of viscous vortical flows

Closing remarks

Back Matter

Keywords

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