Numerical Analysis of Weakly Nonlinear Wave Turbulence (Hamilton's Principle, Wave-Wave Interactions, Oceanic Internal Waves, Relaxation Phenomena, Statistical Mechanics).

摘要

This paper studies the propagation of weakly nonlinear waves. The analysis is applicable to plasma waves, surface water waves, the interaction of laser beams with matter, particle accelerators, etc. The specific motivation for this work is, however, the study of internal waves in the ocean. Hamilton's principle is used to write the fluid equations in Hamiltonian form in terms of linear eigenmode amplitudes. Numerical studies are made of the effect of Fourier grid size and resonance widths. Statistical information is generated from an ensemble of initial states of the random wave field. (Author)