An Analytical and Numerical study of Axisymmetric Flow Around Spheroids
Resource
Journal of Fluid Mechanics 234: 219-246
Journal
Journal of Fluid Mechanics
Pages
219-246
Date Issued
1992
Date
1992
Author(s)
Abstract
Axisymmetric viscous flow around ellipsoids of circular section is studied in detail by the method of matched asymptotic expansion and a deterministic hybrid vortex method. The main feature of the hybrid vortex method consists in solving the viscous vorticity equation by interlacing a finite-difference method for diffusion and a vortex-in-cell method for convection and stretching. Numerical results are presented for an ellipsoid of axis ratio 2:1 and the limiting case of a sphere at various Reynolds numbers between 100 and 3000. Special consideration is given to the evaluation of the drag coefficient which is computed with three different approaches, denoted by S, P and V respectively. Particular emphasis is placed on the numerical implications and physical significance of each of these different approaches. Comparisons between numerical and analytical results at small times show very close agreement in each case. Separation angles, wake lengths and stationary drag coefficients for the sphere are also found to be in good agreement with previous results by a finite-difference method and with the standard drag curve.
Other Subjects
Axisymmetric Flow; Bodies-Ellipsoids; Modelling-Mathematical; Spheroids
Type
journal article
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