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An idealized model of tidal dynamics in the North Sea:resonance properties and response to large-scale changes

机译：北海潮汐动力学的理想模型：共振特性和对大尺度变化的响应

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摘要

An idealized process-based model is developed to investigate tidal dynamics in the North Sea. The model geometry consists of a sequence of different rectangular compartments of uniform depth, thus, accounting for width and depth variations in a stepwise manner. This schematization allows for a quick and transparent solution procedure. The solution, forced by incoming Kelvin waves at the open boundaries and satisfying the linear shallow water equations on the / plane with bottom friction, is in each compartment written as a superposition of eigenmodes, i.e. Kelvin and Poincare waves. A collocation method is employed to satisfy boundary and matching conditions. First, the general resonance properties of a strongly simplified geometry with two compartments, representing the Northern North Sea and Southern Bight, are studied. Varying the forcing frequency while neglecting bottom friction reveals Kelvin and Poincare resonance. These resonances continue to exist (but with lower amplification and a modified spatial structure) when adding the Dover Strait as a third compartment and separating the solutions due to forcing from either the north or the south only. Including bottom friction dampens the peaks. Next, comparison with tide observations along the North Sea coast shows remarkable agreement for both semi-diurnal and diurnal tides. This result is achieved with a more detailed geometry consisting of 12 compartments fitted to the coastline of the North Sea. Further simulations emphasize the importance of Dover Strait and bottom friction. Finally, it is found that a sea level rise of 1 m, uniformly applied to the entire North Sea, amplifies the M2-elevation amplitudes almost everywhere along the coast, with an increase of up to 8 cm in Dover Strait. Bed level changes of ±1 m, uniformly applied to the Southern Bight only, imply weaker changes, with changes in coastal M2-elevation amplitudes below 5 cm.
机译：开发了一种基于过程的理想模型来研究北海的潮汐动力学。模型的几何形状由一系列具有相同深度的不同矩形间隔组成，因此以逐步的方式考虑了宽度和深度的变化。这种模式化允许快速而透明的解决方案过程。在开放边界处由进入的开尔文波强迫并在/平面上满足线性浅水方程式且具有底部摩擦的解决方案在每个隔室内被写为本征模的叠加，即开尔文波和庞加莱波。采用搭配方法来满足边界和匹配条件。首先，研究了具有两个部分的强烈简化的几何体的一般共振特性，分别代表北北海和南海岸线。忽略底部摩擦而改变施力频率可以揭示开尔文和庞加莱共振。当将多佛海峡添加为第三个车厢并由于强迫仅从北方或南方分离解决方案时，这些共振继续存在（但放大率较低且空间结构有所修改）。包括底部摩擦在内的所有峰都可以阻尼。接下来，与北海沿岸的潮汐观测结果进行比较，显示出半日潮和日潮的显着一致性。通过更详细的几何形状（由12个适合北海海岸线的舱室组成）可以实现此结果。进一步的模拟强调了多佛海峡和底部摩擦的重要性。最后，发现均匀分布在整个北海的海平面上升了1 m，几乎在沿海的所有地方都放大了M2高程，在多佛海峡上升了8厘米。 ±1 m的床面变化仅均匀地应用于南部海岸线，意味着变化较弱，沿海M2海拔振幅的变化在5 cm以下。

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  • 来源
    《Ocean Dynamics》 |2011年第12期|p.2019-2035|共17页
  • 作者

    P. C. Roos; J. J. Velema; S. J. M. H. Hulscher; A. Stolk;

  • 作者单位

    Department of Water Engineering and Management,Faculty of Engineering Technology, University of Twente,P.O. Box 217, 7500 AE Enschede, The Netherlands;

    Department of Water Engineering and Management,Faculty of Engineering Technology, University of Twente,P.O. Box 217, 7500 AE Enschede, The Netherlands;

    Department of Water Engineering and Management,Faculty of Engineering Technology, University of Twente,P.O. Box 217, 7500 AE Enschede, The Netherlands;

    Rijkswaterstaat Noordzee, Ministry of Infrastructure and the Environment, P.O. Box 5807, 2280 HV Rijswijk,The Netherlands;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    tides; north sea; resonance; sea level rise;

    机译：潮汐北海;谐振;海平面上升;

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