论文标题
经过改进的Stokes漂移是由于表面波和有和不带平均电流的瓦楞纸相互作用而引起的
Modified Stokes drift due to surface waves and corrugated sea-floor interactions with and without a mean current
论文作者
论文摘要
在本文中,我们表明,当事件中间或浅水表面波传播到波纹海底时,Stokes漂移可能会受到显着影响。基本机制是布拉格共振 - 通过事件波和波纹底部之间的非线性谐振相互作用产生的反射波。从理论上讲,我们解释了两个反向传播的Stokes波对Stokes漂移的基本效果,然后使用高阶光谱方法对Bragg共振进行数值模拟。与底部纹波相互作用时的单色事件波在入射波和反射波之间产生复杂的干扰。当反射波诱导的速度超过事件的速度时,粒子轨迹会反向,导致向后漂移。拉格朗日和拉格朗日均值的轨迹表明,斑块上波的侧面附近的表面颗粒要么被困或反射,这意味着波纹斑块充当非表面侵入性粒子陷阱或反射器。增加波纹斑块的长度和振幅;反射,因此斑块的有效性增加了。逼真的恒定电流的包含显示有和没有波纹斑块的拉格朗日均值轨迹之间的明显差异。理论分析揭示了由于均值 - 底部 - 透 - - 玻璃的相互作用而引起的特定解决方案引起的Stokes漂移中的其他术语,而与是否满足Bragg共振条件。我们的分析可能可用于设计人工瓦楞纸斑块,以减轻微塑料和其他形式的海洋污染。我们还期望海底波纹,尤其是在近岸地区,可能会严重影响海洋示踪剂的运输。
In this paper, we show that Stokes drift may be significantly affected when an incident intermediate or shallow water surface wave travels over a corrugated sea-floor. The underlying mechanism is Bragg resonance -- reflected waves generated via nonlinear resonant interactions between an incident wave and a rippled bottom. We theoretically explain the fundamental effect of two counter-propagating Stokes waves on Stokes drift and then perform numerical simulations of Bragg resonance using High-order Spectral method. A monochromatic incident wave on interaction with a patch of bottom ripple yields a complex interference between the incident and reflected waves. When the velocity induced by the reflected waves exceeds that of the incident, particle trajectories reverse, leading to a backward drift. Lagrangian and Lagrangian-mean trajectories reveal that surface particles near the up-wave side of the patch are either trapped or reflected, implying that the rippled patch acts as a non-surface-invasive particle trap or reflector. On increasing the length and amplitude of the rippled patch; reflection, and thus the effectiveness of the patch, increases. The inclusion of realistic constant current shows noticeable differences between Lagrangian-mean trajectories with and without the rippled patch. Theoretical analysis reveals additional terms in the Stokes drift arising from the particular solution due to mean-current--bottom-ripple interactions, irrespective of whether Bragg resonance condition is met. Our analyses may be useful for designing artificial, corrugated sea-floor patches for mitigating microplastics and other forms of ocean pollution. We also expect that sea-floor corrugations, especially in the nearshore region, may significantly affect oceanic tracer transport.