The evolution of surface gravity waves on deep water excited by a stochastic external force concentrated in small wave number was studied. The primitive Eular equations were implemented for the potential flow of an ideal fluid with free surface written in hamiltonian canonical varibles. The growth of wave energy due to stochastic external force was arrested by nonlinear resonant four-wave processes, which leads to formation of powerlike Kolmogorov spectrum. It was found that, for the different pumping level surface elevation spectra differ only due to the different energy flux.
ASJC Scopus subject areas
- Physics and Astronomy(all)