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首页> 外文期刊>Journal of Physical Oceanography >Tidal Conversion at a Submarine Ridge
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Tidal Conversion at a Submarine Ridge

机译：潜艇海岭的潮汐转换

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The radiative flux of internal wave energy (the "tidal conversion") powered by the oscillating flow of a uniformly stratified fluid over a two-dimensional submarine ridge is computed using an integral-equation method. The problem is characterized by two nondimensional parameters, A and B. The first parameter, A, is the ridge half-width scaled by μh, where h is the uniform depth of the ocean far from the ridge and μ is the inverse slope of internal tidal rays (horizontal run over vertical rise). The second parameter, B, is the ridge height scaled by h. Two topographic profiles are considered: a triangular or tent-shaped ridge and a "polynomial" ridge with continuous topographic slope. For both profiles, complete coverage of the (A, B) parameter space is obtained by reducing the problem to an integral equation, which is then discretized and solved numerically. It is shown that in the supercritical regime (ray slopes steeper than topographic slopes) the radiated power increases monotonically with B and decreases monotonically with A. In the subcritical regime the radiated power has a complicated and nonmonotonic dependence on these parameters. As A → 0 recent results are recovered for the tidal conversion produced by a knife-edge barrier. It is shown analytically that the A → 0 limit is regular: if A 1 the reduction in tidal conversion below that at A = 0 is proportional to A~2. Further, the knife-edge model is shown to be indicative of both conversion rates and the structure of the radiated wave field over a broad region of the supercritical parameter space. As A increases the topographic slopes become gentler, and at a certain value of A the ridge becomes "critical"; that is, there is a single point on the flanks at which the topographic slope is equal to the slope of an internal tidal beam. The conversion decreases continuously as A increases through this transition. Visualization of the disturbed buoyancy field shows prominent singular lines (tidal beams). In the case of a triangular ridge these beams originate at the crest of the triangle. In the case of a supercritical polynomial ridge, the beams originate at the shallowest point on the flank at which the topographic slope equals the ray slope.
机译：使用积分方程方法计算由均匀分层流体在二维海底脊上的振荡流驱动的内部波能的辐射通量（“潮汐转换”）。该问题的特征在于两个无量纲的参数A和B。第一个参数A是按μh缩放的山脊半高，其中h是远离山脊的海洋的统一深度，μ是内陆的反斜率潮汐（水平延伸超过垂直上升）。第二个参数B是按h缩放的山脊高度。考虑了两个地形轮廓：三角形或帐篷形的山脊和具有连续地形坡度的“多项式”山脊。对于这两个配置文件，通过将问题简化为一个积分方程，可以完全覆盖（A，B）参数空间，然后将其离散化并进行数值求解。结果表明，在超临界状态（射线坡度比地形坡度陡），辐射功率随B单调增加，随A单调降低。在亚临界状态，辐射功率对这些参数具有复杂且非单调的依赖性。当A→0时，由刀口屏障产生的潮汐转换可得到最新结果。分析表明，A→0的极限是规则的：如果A 1，则潮汐转换的下降低于A = 0时的下降与A〜2成正比。此外，刀刃模型显示为在超临界参数空间的宽泛区域内既表示转换率又表示辐射波场的结构。随着A的增加，地形坡度变得更平缓，并且在A的特定值时，山脊变得“临界”。也就是说，在侧面上有一个点，其地形坡度等于内部潮汐束的坡度。在此过渡过程中，转换随着A的增加而连续降低。扰动的浮力场的可视化显示突出的奇异线（潮汐束）。在三角形脊的情况下，这些光束起源于三角形的波峰。在超临界多项式脊的情况下，光束始于侧面的最浅点，在该点的地形坡度等于射线坡度。

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