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Numerical simulations of the quasi-stationary stage of ripple excitation by steep gravity–capillary waves

Published online by Cambridge University Press:  26 April 2006

K. D. Ruvinsky ,
F. I. Feldstein  and
G. I. Freidman
K. D. Ruvinsky
Affiliation:
Institute of Applied Physics, Academy of Sciences of the USSR, 46 Uljonov Street, 603600, Gorky, USSR Present address: 37/6 Yosef Street, Hadar, Haifa 33145, Israel.
F. I. Feldstein
Affiliation:
Institute of Applied Physics, Academy of Sciences of the USSR, 46 Uljonov Street, 603600, Gorky, USSR
G. I. Freidman
Affiliation:
Institute of Applied Physics, Academy of Sciences of the USSR, 46 Uljonov Street, 603600, Gorky, USSR
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Abstract

The dependence of the parameters of capillary–gravity ripples on the characteristics of the steep surface waves (in the range 4–20 cm) that excite them is found. For steep 4–6 cm waves calculations are performed on the basis of the improved first Stokes method. Qualitative coincidence of the theoretical results with the experimental data is shown. For 7–20 cm waves the results are obtained by the multiple-scale method where the large-scale motion and the driving force for the ripple are found by the improved first Stokes method. Qualitative agreement between theory and experiment in this wavelength range is achieved.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 230 , September 1991 , pp. 339 - 353
Copyright
© 1991 Cambridge University Press

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