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Vortex Dominated Flows: Analysis and Computation for Multiple Scale Phenomena

Vortex Dominated Flows: Analysis and Computation for Multiple Scale Phenomena

Hardcover

Series: Applied Mathematical Sciences, Book 161

General MathematicsPhysics

ISBN10: 3540685812
ISBN13: 9783540685814
Publisher: Springer
Published: Jun 25 2007
Pages: 508
Weight: 1.99
Height: 1.13 Width: 6.14 Depth: 9.21
Language: English

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 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. The book is addressed to both graduate students and researchers.

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