Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

Numerical simulation of dynamics of nonlinear internal waves of different length in two-layer basin with gently sloping bottom

Litvinenko A.A., Khabakhpashev G.A.

Institute of Computational Technologies SB RAS,
Institute of Thermophysics SB RAS (Novosibirsk)

This paper deals with the numerical realization of a solution on the differential model offered before for two-dimensional nonlinear wave processes in the ocean of an arbitrary depth. It is considered, that the two-layer liquid is ideal, incompressible and immiscible, a stationary component of the water velocity is equal to zero, and the arising currents are potential and are characterized by small but finite amplitude. The calculations on evolution of the pycnocline solitary perturbations (both the wave trough type and oscillating) are performed at a change of the pool depth. It is shown the formation of wave packets or disturbances of the triangular shape.

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Note. Abstracts are published in author's edition

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