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Indirect boundary element method for unsteady linearized flow over prolate and oblate spheroids and hemispheroidal protuberances
Author(s) -
Shatz Lisa F.
Publication year - 2003
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.633
Subject(s) - torque , boundary element method , spheroid , prolate spheroid , singularity , oblate spheroid , flow (mathematics) , mechanics , boundary (topology) , prolate spheroidal coordinates , mathematical analysis , physics , classical mechanics , boundary value problem , streamlines, streaklines, and pathlines , mathematics , finite element method , chemistry , biochemistry , in vitro , thermodynamics
The indirect boundary element method was used to study the hydrodynamics of oscillatory viscous flow over prolate and oblate spheroids, and over hemispheroidal bodies hinged to a plate. Analytic techniques, such as spheroidal coordinates, method of images, and series representations, were used to make the numerical methods more efficient. A novel method for computing the hydrodynamic torque was used, since for oscillatory flow the torque cannot be computed directly from the weightings. Instead, a Green's function for torque was derived to compute the torque indirectly from the weightings. For full spheroids, the method was checked by comparing the results to exact solutions at low and high frequencies, and to results computed using the singularity method. For hemispheroids hinged to a plate, the method for low frequencies was checked by comparing the results to previous results, and to exact solutions at high frequencies. Copyright © 2004 John Wiley & Sons, Ltd.