Oblique flexural gravity-wave scattering due to changes in bottom topography
Oblique flexural gravity-wave scattering due to changes in bottom topography
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DOI：
10.1007/s10665-009-9297-8
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发表时间：
2010-04
影响因子：
1.3
通讯作者：
D. Karmakar;J. Bhattacharjee;T. Sahoo
中科院分区：
文献类型：
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作者：
D. Karmakar;J. Bhattacharjee;T. Sahoo
基于有限水深和浅水近似下的线性水波理论，研究了压力作用下水深突变引起的斜向弯曲重力波散射问题。利用单台阶的计算结果，采用宽间距近似分析了多台阶和淹没块体对波浪的变形。利用波能通量的自变量导出了由于海底地形变化引起的斜向弯曲重力波散射的能量关系，并用来检验计算的准确性。水深的变化对散射系数的变化有很大的影响。在斜波散射的情况下，在某些情况下观察到临界角。此外，在反射系数的谐振模式被观察到，由于在水深的变化，而不考虑的情况下，在一个淹没块的压缩力的存在。
Oblique flexural gravity-wave scattering due to an abrupt change in water depth in the presence of a compressive force is investigated based on the linearized water-wave theory in the case of finite water depth and shallow-water approximation. Using the results for a single step, wide-spacing approximation is used to analyze wave transformation by multiple steps and submerged block. An energy relation for oblique flexural gravity-wave scattering due to a change in bottom topography is derived using the argument of wave energy flux and is used to check the accuracy of the computation. The changes in water depth significantly contribute to the change in the scattering coefficients. In the case of oblique wave scattering, critical angles are observed in certain cases. Further, a resonating pattern in the reflection coefficients is observed due to change in the water depth irrespective of the presence of a compressive force in the case of a submerged block.