Oblique flexural gravity-wave scattering due to changes in bottom topography

被引：48

作者：

Karmakar, D. ^{[1
]}

Bhattacharjee, J. ^{[2
]}

Sahoo, T. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Ocean Engn & Naval Architecture, Kharagpur 721302, W Bengal, India

[2] Univ Tecn Lisboa, Inst Super Tecn, Ctr Marine Technol & Engn, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 2010年 / 66卷 / 04期

关键词：

Flexural gravity waves; Reflection and transmission coefficients; Shallow-water approximation; Variable bottom topography; Wide-spacing approximation; HYDROELASTIC RESPONSE; EXPANSION FORMULAS; ICE SHEETS; PLATE; WATER;

D O I：

10.1007/s10665-009-9297-8

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：325 / 341

页数：17

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