Wave Diffraction on an Ice Sheet in the Presence of Shear Current

IF 1 4区 工程技术 Q4 MECHANICS Fluid Dynamics Pub Date : 2024-07-05 DOI:10.1134/S0015462824602821
L. A. Tkacheva
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Abstract

The diffraction of plane surface and flexural-gravity waves during their normal incidence at the edge of a floating elastic semi-infinite plate in fluid of finite depth in the presence of a current with velocity shear is studied. The explicit analytical solution to this problem is constructed using the Wiener–Hopf technique. Simple exact formulas for the reflection and transmission coefficients and the energy relations are obtained. The results of numerical calculations using the obtained formulas are presented.

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剪切流作用下冰原上的波衍射
摘要 研究了在有速度剪切的水流存在时,平面表面波和挠性重力波在有限深度流体中的浮动弹性半无限板边缘的法向入射过程中的衍射问题。利用维纳-霍普夫技术构建了该问题的显式解析解。得到了反射系数、透射系数和能量关系的简单精确公式。文中还介绍了使用所获公式进行数值计算的结果。
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来源期刊
Fluid Dynamics
Fluid Dynamics MECHANICS-PHYSICS, FLUIDS & PLASMAS
CiteScore
1.30
自引率
22.20%
发文量
61
审稿时长
6-12 weeks
期刊介绍: Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.
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