Chinese Journal of Theoretical and Applied Mechanics ›› 2019, Vol. 51 ›› Issue (6): 15891604.DOI: 10.6052/0459187919326
Special Issue: 海洋工程专题（2019年第6期）
• Articles on“Ocean Engineering” • Previous Articles Next Articles
Wang Zhan^{*}^{†}^{2)}(),Zhu Yuke^{**}
Received:
20191025
Accepted:
20191110
Online:
20191118
Published:
20191226
Contact:
Wang Zhan
CLC Number:
Wang Zhan, Zhu Yuke. THEORY, MODELLING AND COMPUTATION OF NONLINEAR OCEAN INTERNAL WAVES^{1)}[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 15891604.
Fig.1 Ekman’s dead water experiments reproduced with modern technology by French experimentalists in the laboratory of physics at of Lyon. The threelayer fluid system was used as the model(distinguished by red, white and yellow from top to bottom). The of each layer was 5.0 cm, 3.0 cm, and 5.5 cm respectively, and the density was 0.9967 g/cm$^3$, 1.0079 g/cm$^3$, and 1.0201 g/cm$^3$. The model ship sails from left to right, and snapshots from top to bottom show the position of the model as well as the internal wave profiles at different times
Fig.3 A largeamplitude internal solitary wave observed in the South China Sea. The horizontal coordinate represents the time, sampling every 1 min, and the vertical coordinate indicates the depth of the ocean (the total depth is about 340 m)
Fig.7 Particle trajectories under internal solitary waves. Internal solitary waves move from left to right labeled with black, red, and green in order, and particle positions are marked as the corresponding colors. Numerical experiments were carried out in the fully nonlinear irrotational equations with the density ratio of 0.9 and depth ratio of 2
Fig.9 Visualization of St. Andrew’s cross excited by a vertically oscillating circular cylinder in a density stratified fluid with constant buoyance frequency. The angle of arms is determined by the period (or frequency equivalently) of oscillation which is 5 s on the left and 6 s on the right (http://www.gfddennou.org/library/gfd_exp/exp_e/doc/iw/guide01.htm)
Fig.10 Contours of zonal velocity (upper panel) and vertical velocity (lower panel) superposed on temperature contours (dashed lines) and cloud contours (heavy solid lines) near the 12 km level[74]
Fig.12 Various wakes generated by motion of submarine: Kelvin wake, internal waves, wake turbulence, vortex wake, and pancake eddies. The figure comes from the internet
Fig.14 Bathymetric map of part of the Andaman Sea (left panel). SAR image taken by ERS2 satellite in the Andaman Sea on February 11, 1997 (right panel) shows wavewave interactions of internal solitary waves. This figure is provided by Dr. Yuan from Ocean University of China
Fig.15 St. Andrew’s cross in the South China Sea. The fourthorder numerical scheme was used to carry out the numerical experiment in the Boussinesq equations with the Reynolds number of $2.5\times 10^{4}$[76]
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