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首页> 外文会议>25th International Conference on Offshore Mechanics and Arctic Engineering 2006(OMAE2006) vol.2: Ocean Engineering; Polar and Arctic Sciences and Technology >EFFECT OF CURRENT ON FLEXURAL GRAVITY WAVES
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EFFECT OF CURRENT ON FLEXURAL GRAVITY WAVES

机译：电流对弯曲重力波的影响

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摘要

The effect of uniform current on the propagation of flexural gravity waves due to a floating ice sheet is analyzed in two dimensions. The problem is formulated as an initial boundary value problem in the linearized theory of water waves. By using Laplace transform technique, the initial boundary value problem is reduced to a boundary value problem, which is solved by the application of Fourier transform to obtain the surface elevation in terms of an integral, which is evaluated asymptotically for large distance and time by the application of method of stationary phase to obtain the far field behavior of the progressive waves. The effect of current on the wavelength, phase velocity and group velocity of the flexural gravity waves propagating below the floating ice sheet is analyzed theoretically to obtain certain critical values on the speed of current which are of significant importance. Simple numerical computations are performed to observe the effect of uniform current on the surface elevation, wavelength, phase velocity and group velocity of flexural gravity waves and on the far field behavior of the progressive waves.
机译：二维分析了均匀电流对浮动冰原引起的弯曲重力波传播的影响。该问题在水波线性化理论中被公式化为初始边值问题。通过使用Laplace变换技术，将初始边界值问题简化为边界值问题，可通过应用傅里叶变换来获得以积分为单位的表面高程，并通过较大距离和时间渐近地对其进行评估。应用固定相方法获得渐进波的远场特性。从理论上分析了电流对在浮动冰盖下方传播的弯曲重力波的波长，相速度和群速度的影响，以获得对电流速度具有一定意义的临界值。执行简单的数值计算即可观察均匀电流对弯曲重力波的表面高度，波长，相速度和群速度以及渐进波的远场行为的影响。

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