Vortex dominated flows : analysis and computation for multiple scale phenomena
著者
書誌事項
Vortex dominated flows : analysis and computation for multiple scale phenomena
（Applied mathematical sciences, v. 161）
Springer, c2007
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注記
Includes bibliographical references (p. [489]-499) and index
"With 139 figures"
内容説明・目次
内容説明
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.
目次
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.
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