The Initialization of Vortical Free-Surface Flows

[+] Author and Article Information
D. G. Dommermuth

Naval Hydrodynamics Division, Science Applications International Corporation, 10260 Campus Point Drive, MS 34, San Diego, CA 92121

J. Fluids Eng 116(1), 95-102 (Mar 01, 1994) (8 pages) doi:10.1115/1.2910249 History: Received June 30, 1992; Revised February 23, 1993; Online May 23, 2008


Numerical simulations of vortical free-surface flows are prone to developing spurious high-frequency dispersive waves unless the flow field is given sufficient time to adjust. At low Froude numbers, the high-frequency waves obscure the true hydrostatic balance of the free-surface elevation with the component of the pressure that is induced by the vortical portion of the flow. The high-frequency waves must be eliminated for remote sensing applications because otherwise the roughening of the free surface and the predicted radar backscatter will be incorrect. A procedure is developed for reducing the initial impulse of the pressure and the subsequent generation of high-frequency waves. Numerical simulations of whirls illustrate the effectiveness of the procedure. The pressure field of the whirls forms dimples on the free surface.

Copyright © 1994 by The American Society of Mechanical Engineers
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