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9783540685814

Vortex Dominated Flows

by ; ;
  • ISBN13:

    9783540685814

  • ISBN10:

    3540685812

  • Format: Hardcover
  • Copyright: 2007-08-03
  • Publisher: Springer Verlag

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Summary

Addressed to both graduate students and researchers this monograph provides in-depth analyses of vortex dominated flows via matched and multiscale asymptotics, and it demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. The dynamics of slender vortex filaments is discussed 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.

Table of Contents

Introductionp. 1
Vortex-dominated flows and general theoryp. 7
Motion and decay of vortex filaments - matched asymptoticsp. 35
Nonlinear dynamics of nearly straight vortex filamentsp. 155
Numerical simulation of slender vortex filamentsp. 227
Numerical simulations of the merging of vortices or filamentsp. 285
Flow generatedp. 347
Sound generated flowp. 383
Epiloguep. 455
Governing equationsp. 465
Second-order two-time solutionsp. 469
Equations of motion of filamentsp. 475
Formulae for the coefficients in (6.2.74) and (6.2.75)p. 475
Transformations of filament attached coordinatesp. 481
Table of Contents provided by Blackwell. All Rights Reserved.

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