Numerical analysis of weakly nonlinear wave turbulence | Zendy

James D. Meiss | Zendy; Neil Pomphrey | Zendy; Kenneth Watson | Zendy

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Numerical analysis of weakly nonlinear wave turbulence

Author(s) -

James D. Meiss,

Neil Pomphrey,

Kenneth Watson

Publication year - 1979

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.76.5.2109

Subject(s) - physics , wave turbulence , hamiltonian (control theory) , nonlinear system , turbulence , surface wave , wave propagation , classical mechanics , internal wave , amplitude , normal mode , breaking wave , wavenumber , nonlinear resonance , quantum electrodynamics , computational physics , mechanics , quantum mechanics , optics , mathematics , mathematical optimization , vibration

We consider the propagation of weakly nonlinear waves such as plasma waves, surface water waves, the interaction of laser beams with matter, particle accelerators, etc. Specifically, we study 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.

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