SURFACE EFFECTS OF INTERNAL WAVE GENERATED BY A MOVING SOURCE IN A TWO-LAYER FLUID OF FINITE DEPTH

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (9): 1025-1040.

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SURFACE EFFECTS OF INTERNAL WAVE GENERATED BY A MOVING SOURCE IN A TWO-LAYER FLUID OF FINITE DEPTH

WEI Gang^1,2, LE Jia-Chun¹, DAI Shi-qiang ¹

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
2. Institute of Science, University of Science and Technology, PLA, Nanjing 211101, P. R. China

Received:2002-02-01 Revised:2003-03-21 Online:2003-09-18 Published:2003-09-18
Supported by:
the National Natural Science Foundation of China (69925307, 60274001);the National Key Basic Reasearch and Development Program (2002CB312200);the Postdoctoral Program Foundation of China

Abstract

Abstract: Based on the potential flow theory of water waves, the interaction mechanism between the free-surface and internal waves generated by a moving point source in the lower layer of a two-layer fluid was studied. By virtue of the method of Green's function, the properties of the divergence field at the free surface were obtained, which plays an important role in the SAR (Synthetic Aperture Radar) image. It is shown that the coupling interaction between the surface-wave mode and internal-wave mode must be taken into account for the cases of large density difference between two layers, the source approaching to the pynocline and the total Froude number Fr close to the critical number Fr. The theoretical analysis is qualitatively consistent with the experimental results presented by Ma Hui-yang.

2010 MSC Number:

O353
76B20

WEI Gang;LE Jia-Chun;DAI Shi-qiang . SURFACE EFFECTS OF INTERNAL WAVE GENERATED BY A MOVING SOURCE IN A TWO-LAYER FLUID OF FINITE DEPTH. Applied Mathematics and Mechanics (English Edition), 2003, 24(9): 1025-1040.

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References

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SURFACE EFFECTS OF INTERNAL WAVE GENERATED BY A MOVING SOURCE IN A TWO-LAYER FLUID OF FINITE DEPTH

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