论文标题
深水交叉表面波中的虚拟波应力
Virtual wave stress in deep-water crossed surface waves
论文作者
论文摘要
由于流体粘度，在时间和/或空间的深水衰减表面上激发的波浪，与波动相关的动量通过虚拟波应力的作用从波转移到欧拉的慢电流。在这里，基于对总动量的保存，我们发现在慢速欧拉尔电流较弱的假设下，平静的重力波产生的虚拟波应力在于弗洛德数量很小并且可以忽略慢速流动不均匀性的表面波的散射。特别是，我们计算了通过传播波和两个正交的站立波产生的虚拟波应力。获得的结果具有EULER不变性，与先前已知的结果一致，并将其推广到激发几乎单色波以任意方向传播的情况。
Waves excited on the surface of deep water decay in time and/or space due to the fluid viscosity, and the momentum associated with the wave motion is transferred from the waves to Eulerian slow currents by the action of the virtual wave stress. Here, based on the conservation of the total momentum, we found the virtual wave stress produced by calm gravity waves under the assumption that the slow Eulerian currents are weak in the sense that the Froude number is small and the scattering of surface waves by slow flow inhomogeneities can be neglected. In particular, we calculated the virtual wave stress generated by a propagating wave and two orthogonal standing waves. The obtained results possess Euler invariance, are consistent with previously known ones, and generalize them to the case of the excitation of almost monochromatic waves propagating in arbitrary directions.
