NUMERICAL SIMULATIONS OF THE QUASI-STATIONARY STAGE OF RIPPLE EXCITATION BY STEEP GRAVITY CAPILLARY WAVES

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.