有和没有平均流时由于表面波和波纹海底相互作用引起的修正的斯托克斯漂移
Modified Stokes drift due to surface waves and corrugated sea-floor interactions with and without a mean current
摘要：
在本文中，我们表明，斯托克斯漂移可能会受到显着影响时，入射的中间或浅水表面波在波纹海底旅行。基本机制是布拉格共振-反射波通过入射波和波纹底部之间的非线性共振相互作用产生。我们从理论上解释了两个对向传播的Stokes波对Stokes漂移的基本影响，并利用高阶谱方法对Bragg共振进行了数值模拟。单色入射波与一片底波纹相互作用，在入射波和反射波之间产生复杂的干涉。当反射波引起的速度超过入射波时，粒子轨迹反转，导致向后漂移。拉格朗日和拉格朗日平均轨迹显示，表面粒子附近的补丁的上波侧被捕获或反射，这意味着波纹补丁作为一个非表面侵入粒子陷阱或反射器。在增加波纹贴片的长度和幅度时，反射以及贴片的有效性增加。列入现实的恒定电流显示显着的差异拉格朗日平均轨迹与波纹补丁和没有。理论分析揭示了额外的条款中的斯托克斯漂移所产生的特定的解决方案，由于平均电流-底部波纹的相互作用，无论是否满足布拉格谐振条件。我们的分析可能有助于设计人造波纹海底补丁，以减轻微塑料和其他形式的海洋污染。我们还预计，海底波纹，特别是在近岸地区，可能会显着影响海洋示踪剂运输。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
