Viscous Vortical Flows
"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 nonlinear 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."--BOOK JACKET.
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Vortex Dominated Flows and General Theory
Motion and Decay of Vortex Filaments
6 other sections not shown
asymmetric asymptotic analysis axial velocity axisymmetric background flow background potential flow background velocity binormal boundary conditions boundary data center line centerline circumferential velocity coefficients components computational domain contour lines coordinates core size defined denotes doublet expansion extended asymptotic solution field behavior finite difference flow field global merging governing equations induced initial core initial data initial vorticity distribution inner solution interaction inviscid theory isosurface leading order core length scale linear combinations matching condition maximum vorticity merging problems moments of vorticity motion N-S equations normal time scale nth moments numerical scheme numerical solution obtain one-time solution order core structure order equations outer parameter Poisson equation potential flow quadrupoles r-average radial radius scalar potential second order shown in Fig stream function strong interaction trajectory two-dimensional type 1(a variables vector potential velocity field velocity potential viscous viscous vortical vortex center vortex point vortex rings vortical core vortical flow vorticity field zero