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Vortex Dominated Flows [electronic resource] : Analysis and Computation for Multiple Scale Phenomena / by Lu Ting, Rupert Klein, Omar M. Knio.

By: Contributor(s): Series: Applied Mathematical Sciences ; 161Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Description: XIV, 508 p. 139 illus., 8 illus. in color. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540685821
Subject(s): Genre/Form: Additional physical formats: Printed edition:: No titleDDC classification:
  • 530.1 23
LOC classification:
  • QC19.2-20.85
Online resources:
Contents:
Vortex-Dominated Flows and General Theory -- Motion and Decay of Vortex Filaments — Matched Asymptotics -- Nonlinear Dynamics of Nearly Straight Vortex Filaments -- Numerical Simulation of Slender Vortex Filaments -- Numerical Simulations of the Merging of Vortices or Filaments -- Flow Generated -- Sound Generated Flow -- Epilogue.
In: Springer eBooksSummary: 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.
Item type: eBooks
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Vortex-Dominated Flows and General Theory -- Motion and Decay of Vortex Filaments — Matched Asymptotics -- Nonlinear Dynamics of Nearly Straight Vortex Filaments -- Numerical Simulation of Slender Vortex Filaments -- Numerical Simulations of the Merging of Vortices or Filaments -- Flow Generated -- Sound Generated Flow -- Epilogue.

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.

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