Slepyshev A. Transport properties of the week-nonlinear internal and trapped topographic waves

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0510U000535

Applicant for

Specialization

  • 04.00.22 - Геофізика

15-06-2010

Specialized Academic Board

Д50.158.02

Essay

The Thesis is devoted research of transport properties of the internal and trapped topographic waves. Transport properties of waves associated with nonlinearity since nonlinearity causes presence of average currents. The nonlinear Shrodinger equation for amplitude of the trapped topographic waves and the average current induced by a wave are derived. For the first time it is shown, that the trapped topographic waves are unstable to modulations. The model of interaction of the trapped topographic waves with turbulence of a benthonic layer is constructed. Vertical distribution of energy of the turbulence generated by a wave is derived. In diffusion approach vertical distribution of concentration of the sediments weighed by a wave is received. The theory of non-stationary weak-nonlinear packets of internal waves is developed on a case of the account of rotation of the Earth. It is shown, that the account of rotation of the Earth leads to that, in a long-wave limit internal waves are unstable to modulation. The average currents induced by a wave and non-oscillating the amendment to density are defined. The characteristic scale of generated vertical thin structure corresponds observed in natural experiment. For the first time it is shown, that in the presence of turbulent viscosity and diffusion the vertical component of velocity stokes а drift is distinct from zero and brings main contribution in wave transport. Wave fluxes on a shelf can are comparable or even greater than corresponding turbulent fluxes.

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