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Titlebook: Vortex Flows and Related Numerical Methods; J. T. Beale,G.-H. Cottet,S. Huberson Book 1993 Springer Science+Business Media Dordrecht 1993

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书目名称Vortex Flows and Related Numerical Methods
编辑J. T. Beale,G.-H. Cottet,S. Huberson
视频video
丛书名称Nato Science Series C:
图书封面Titlebook: Vortex Flows and Related Numerical Methods;  J. T. Beale,G.-H. Cottet,S. Huberson Book 1993 Springer Science+Business Media Dordrecht 1993
描述Many important phenomena in fluid motion are evident in vortexflow, i.e., flows in which vortical structures are significant indetermining the whole flow. This book, which consists of lecturesgiven at a NATO ARW held in Grenoble (France) in June 1992, providesan up-to-date account of current research in the study of thesephenomena by means of numerical methods and mathematicalmodelling..Such methods include Eulerian methods (finite difference, spectral andwavelet methods) as well as Lagrangian methods (contour dynamics,vortex methods) and are used to study such topics as 2- or3-dimensional turbulence, vorticity generation by solid bodies, shearlayers and vortex sheets, and vortex reconnection..For researchers and graduate students in computational fluid dynamics,numerical analysis, and applied mathematics.
出版日期Book 1993
关键词Particle-in-cell; Potential; algorithms; combustion; computational fluid dynamics; fluid dynamics; modelin
版次1
doihttps://doi.org/10.1007/978-94-015-8137-0
isbn_softcover978-90-481-4263-7
isbn_ebook978-94-015-8137-0Series ISSN 1389-2185
issn_series 1389-2185
copyrightSpringer Science+Business Media Dordrecht 1993
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Velicity Methods: Lagrangian Numerical Methods which Preserve the Hamiltonian Structure of Incompresbased on the canonical Hamiltonian formulation of incompressible flow. The method preserves at least three invariants of the flow: the kinetic energy, the impulse, and the angular momentum. We present numerical results which validate the method and elucidate the structure of the Hamiltonian variables in two and three dimensions.
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Point Vortices and Localization in Euler FlowsWe study the time evolution of an inviscid incompressible two-dimensional fluid when the initial vorticity is sharply concentrated in . small regions of diameter e. We give a rigourous proof of the validity of the point vortex model as . vanishes. Then we discuss the three-dimensional case and other possible generalizations.
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Viscous Simulation of Wake PatternsVortex sheet motion is regularized by smoothing the initial data and solving the Navier-Stokes equations. The underlying flow is induced by a vortex sheet containing positive and negative circulation. Wake patterns are obtained which closely resemble previous experimental results and vortex blob simulations.
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