| THE NONLINEAR INTERNAL GRAVITY WAVES IN STRATIFIED FLUID |
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| 作者姓名： | 刘式达 刘式适 |
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| 作者单位： | Department of Geophysics，Peking University，Department of Geophysics，Peking University |
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| 摘 要： | In this paper, starting from the equations of the nonlinear internal gravity waves in stratified fluid, using the method of the Taylor expansion nearby the equilibrium point for the nonlinear terms, we find the analytical solutions for nonlinear internal gravity waves. The linear internal gravity waves and solitary waves are its special cases. The nonlinear internal gravity waves satisfy the well-known KdV (Karteweg-de Vries) equation. The nonlinear internal gravity waves are different from linear waves in character. The former dispersive relation contains the amplitude, but the latter does not. The larger the amplitude and the wavelength the faster are waves for the nonlinear internal gravity waves. The smaller the stability of the stratification, the larger is the wavelength (or the width). Some phenomena such as squall line, cumulus, turbulent mass structure in atmosphere, and thermocline in ocean have these natures.
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| 收稿时间： | 1981/8/14 0:00:00 |
THE NONLINEAR INTERNAL GRAVITY WAVES IN STRATIFIED FLUID |
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| LIU SHIDA and LIU SHIKUO.THE NONLINEAR INTERNAL GRAVITY WAVES IN STRATIFIED FLUID[J].Acta Oceanologica Sinica,1983,2(1):45-51. |
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| Authors: | LIU SHIDA and LIU SHIKUO |
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| Institution: | Department of Geophysics, Peking University |
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| Abstract: | In this paper, starting from the equations of the nonlinear internal gravity waves in stratified fluid, using the method of the Taylor expansion nearby the equilibrium point for the nonlinear terms, we find the analytical solutions for nonlinear internal gravity waves. The linear internal gravity waves and solitary waves are its special cases. The nonlinear internal gravity waves satisfy the well-known KdV (Karteweg-de Vries) equation. The nonlinear internal gravity waves are different from linear waves in character. The former dispersive relation contains the amplitude, but the latter does not. The larger the amplitude and the wavelength the faster are waves for the nonlinear internal gravity waves. The smaller the stability of the stratification, the larger is the wavelength (or the width). Some phenomena such as squall line, cumulus, turbulent mass structure in atmosphere, and thermocline in ocean have these natures. |
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