Applied Mathematical Sciences

Analysis and Computation for Multiple Scale Phenomena

By: Lu Ting, Omar M. Knio, Rupert Klein

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Hardcover | 25 June 2007

At a Glance

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524 Pages

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23.5 x 15.88 x 2.54

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This monograph provides in-depth analyses of vortex dominated flows via matched and multiscale asymptotics, and demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. The book explores the dynamics of slender vortex filaments in detail, including fundamental derivations, compressible core structure, weakly non-linear limit regimes, and associated numerical methods. Similarly, the volume covers asymptotic analysis and computational techniques for weakly compressible flows involving vortex-generated sound and thermoacoustics. The book is addressed to both graduate students and researchers.

Industry Reviews

From the reviews:

"...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

"An up-to-date description of the theory of viscous incompressible vortical flows including important remarks on their numerical treatment. ... The book is very well-written ... and will most certainly quickly develop into the standard reference for many years to come. ... will be the source of innumerable insights even for inclined beginners who are willing to work hard. It is certainly indispensable for the research worker and well-suited to be used in a graduate course. ... is simply a 'must'." (Thomas Sonar, Zeitschrift fuer Angewandte Mathematik und Physik, Vol. 59, 2008)

"This monograph familiarizes the reader with theoretical foundations of vortex-dominated flows, provides in-depth analyses via matched and multiscale asymptotics, and demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. ... this book serves both for graduate students and researchers working in the areas of applied mathematics and of theoretical and/or computational fluid dynamics." (Felix Kaplanski, Zentralblatt MATH, Vol. 1130 (8), 2008)

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You Can Find This Book In

Non-Fiction Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Fluids Science Physics Classical Mathematics Fluid Mechanics Wave Mechanics including Vibration & Acoustics Mechanical Engineering Mathematics

Probability & Statistics Mathematical Physics Applied Mathematics Thermodynamics & Heat Calculus & Mathematical Analysis Numerical Analysis

Introduction	p. 1
Vortex-dominated flows and general theory	p. 7
Motion and decay of vortex filaments - matched asymptotics	p. 35
Nonlinear dynamics of nearly straight vortex filaments	p. 155
Numerical simulation of slender vortex filaments	p. 227
Numerical simulations of the merging of vortices or filaments	p. 285
Flow generated	p. 347
Sound generated flow	p. 383
Epilogue	p. 455
Governing equations	p. 465
Second-order two-time solutions	p. 469
Equations of motion of filaments	p. 475
Formulae for the coefficients in (6.2.74) and (6.2.75)	p. 475
Transformations of filament attached coordinates	p. 481
Table of Contents provided by Blackwell. All Rights Reserved.

Applied Mathematical Sciences

Analysis and Computation for Multiple Scale Phenomena

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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