Efficient Simulation of Short and Long-Wave Interactions With Applications to Capillary Waves

[+] 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), 77-82 (Mar 01, 1994) (6 pages) doi:10.1115/1.2910246 History: Received August 31, 1992; Revised May 06, 1993; Online May 23, 2008


A perturbation expansion and a multigrid technique are developed for simulating the fully-nonlinear unsteady-interaction of short waves riding on long gravity waves. Both numerical techniques are capable of simulating wave slopes near breaking and wavelength ratios greater than thirty, but the multigrid technique converges more rapidly and it is more efficient. The results of numerical simulations agree qualitatively with experimental measurements of ripple formation on the front face of a gravity-capillary wave.

Copyright © 1994 by The American Society of Mechanical Engineers
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