Solitary internal waves in a rotating channel: A numerical study
Solitary internal waves in a rotating channel: A numerical study
复制标题
旋转通道中的孤立内波：数值研究
DOI：
--
复制
发表时间：
1987
期刊：
影响因子：
--
通讯作者：
T. Akylas
中科院分区：
文献类型：
--
作者：
C. Katsis;T. Akylas
研究了低速旋转对浅水流体中孤立内波传播的影响。Kadomtsev-Petviashvili（KP）方程经过适当修改以考虑科里奥利效应，数值求解有限宽度旋转通道中的双层流动。在存在旋转的情况下，最初的直峰孤子演化为三维扰动，其在合理的近似下沿通道具有sech 2轮廓沿着，但在传播时衰减缓慢。此外，波幅在整个通道上呈指数变化，波峰向后弯曲。这些趋势与最近的实验室实验一致。
The effect of slow rotation on the propagation of solitary internal waves in shallow fluids is studied. The Kadomtsev–Petviashvili (KP) equation, appropriately modified to account for Coriolis effects, is solved numerically for two‐layer flow in a rotating channel of finite width. In the presence of rotation, an initially straight‐crested soliton evolves to a three‐dimensional disturbance, which, to a reasonable approximation, has a sech2 profile along the channel but decays slowly as it propagates. Furthermore, the wave amplitude varies exponentially across the channel and the wave crest is curved backward. These trends are in agreement with recent laboratory experiments.