On long nonlinear internal waves over slope-shelf topography
On long nonlinear internal waves over slope-shelf topography
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DOI：
10.1017/s0022112086002823
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发表时间：
1986-06
影响因子：
3.7
通讯作者：
K. Helfrich;W. Melville
中科院分区：
文献类型：
--
作者：
K. Helfrich;W. Melville
本文对长非线性内波在斜坡-陆架地形上的传播和稳定性进行了实验和理论研究。一个广义的Korteweg-de弗里斯（KdV）方程，包括非线性，色散，耗散和不同的底部地形的影响，制定和数值求解单个和秩序孤波对入射到斜坡上。本文报道了在盐成层体系中进行的相应实验结果。理论和实验之间的非常好的协议，获得了一系列的分层，地形和入射波振幅。在某些情况下，如果耗散和高阶（立方）非线性的影响不包括在理论模型中，发现显着的分歧。弱剪切和强烈的破坏（翻转）不稳定性的观察和发现强烈依赖于入射波的振幅和层结的货架上。在某些情况下，最低模式波的不稳定性导致第二模式孤立波的产生。这些研究结果的预测和解释现场数据的应用进行了讨论。
An experimental and theoretical study of the propagation and stability of long nonlinear internal waves over slope–shelf topography is presented. A generalized Korteweg–de Vries (KdV) equation, including the effects of nonlinearity, dispersion, dissipation and varying bottom topography, is formulated and solved numerically for single and rank-ordered pairs of solitary waves incident on the slope. The results of corresponding laboratory experiments in a salt-stratified system are reported. Very good agreement between theory and experiment is obtained for a range of stratifications, topography and incident-wave amplitudes. Significant disagreement is found in some cases if the effects of dissipation and higher-order (cubic) nonlinearity are not included in the theoretical model. Weak shearing and strong breaking (overturning) instabilities are observed and found to depend strongly on the incident-wave amplitude and the stratification on the shelf. In some cases the instability of the lowest-mode wave leads to the generation of a second-mode solitary wave. The application of these findings to the prediction and interpretation of field data is discussed.