Titlebook: Vortex Dominated Flows; Analysis and Computa Lu Ting,Rupert Klein,Omar M. Knio Book 2007 Springer-Verlag Berlin Heidelberg 2007 Asymptotic

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0066-5452 ations.Presents numerical schemes based on asymptotic theoryAddressed 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 i

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Vortex-Dominated Flows and General Theory,bounded two- or three-dimensional space and specify the initial data and far-field behavior. A number of fundamental properties or integral invariants of the flow fields are derived. These invariants shall be employed to refine the analytical description of the far-field behavior and to verify the a

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Numerical Simulation of Slender Vortex Filaments,ons that the characteristic radius of curvature of the filament centerline is much larger than the core size, and that the vortex core remains well-separated from solid boundaries. Under these assumptions, the asymptotic theory provides (1) a leading-order prediction of the filament centerline veloc

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Book 2007mptotics, 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, weakl

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Biological Indicators of Freshwater Pollution and Environmental Management