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A model study of tidal distributions in the Celtic and Irish Sea regions determined with finite volume and finite element models

机译：用有限体积和有限元模型确定的凯尔特人和爱尔兰海地区潮汐分布的模型研究

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摘要

An unstructured mesh tidal model of the west coast of Britain, covering the Celtic Sea and Irish Sea is used to compare tidal distributions computed with finite element (FE) and finite volume (FV) models. Both models cover an identical region, use the same mesh, and have topography and tidal boundary forcing from a finite difference model that can reproduce the tides in the region. By this means, solutions from both models can be compared without any bias towards one model or another. Two-dimensional calculations show that for a given friction coefficient, there is more damping in the FV model than the FE model. As bottom friction coefficient is reduced, the two models show comparable changes in tidal distributions. In terms of mesh resolution, calculations show that for the M2 tide, the mesh is sufficiently fine to yield an accurate solution over the whole domain. However, in terms of higher harmonics of the tide, in particular the M6 component, its small-scale variability in near-shore regions which is comparable to the mesh of the model, suggests that the mesh resolution is insufficient in the near-coastal regions. Even with a finer mesh in these areas, without detailed bottom topography and a spatial varying friction depending on bed types and bed forms, which is not available, model skill would probably not be improved. In addition in the near-shore region, as shown in the literature, the solution is sensitive to the form of the wetting/drying algorithm used in the model. Calculations with a 3D version of the FV model show that for a given value of k, damping is reduced compared to the 2D version due to the differences in bed stress formulation, with the 3D model yielding an accurate tidal distribution over the region.
机译：英国西海岸的非结构网格潮汐模型覆盖了凯尔特海和爱尔兰海，用于比较用有限元（FE）和有限体积（FV）模型计算的潮汐分布。两种模型都覆盖相同的区域，使用相同的网格，并且具有可再现该区域潮汐的有限差分模型的地形和潮汐边界强迫。通过这种方式，可以比较两个模型的解决方案，而不会偏向一个模型或另一个模型。二维计算表明，对于给定的摩擦系数，FV模型​​中的阻尼比FE模型中的阻尼大。随着底部摩擦系数的减小，这两个模型显示出潮汐分布的可比变化。在网格分辨率方面，计算表明，对于M2潮汐，网格足够精细，可以在整个域上产生精确的解。但是，就潮汐的高次谐波而言，尤其是M6分量，其在近岸区域的小规模变化与模型的网格相当，这表明在近海岸区域网格的分辨率不足。 。即使在这些区域中具有更细的网格，没有详细的底部地形以及根据床类型和床形式而变化的空间摩擦（这是不可用的），模型技巧也可能不会得到改善。此外，如文献所示，在近岸地区，该解决方案对模型中使用的润湿/干燥算法的形式很敏感。使用FV模型的3D版本进行的计算表明，由于床应力公式的不同，对于给定的k值，与2D版本相比，阻尼降低了，而3D模型在该区域产生了准确的潮汐分布。

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  • 来源
    《Ocean Dynamics》 |2011年第10期|p.1645-1667|共23页
  • 作者

    A. M. Davies; J. Xing; J. E. Jones;

  • 作者单位

    National Oceanography Centre,6 Brownlow Street,Liverpool L3 5DA, England, UK;

    National Oceanography Centre,6 Brownlow Street,Liverpool L3 5DA, England, UK;

    National Oceanography Centre,6 Brownlow Street,Liverpool L3 5DA, England, UK;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    unstructured girds; modelling; tides; irish sea;

    机译：非结构化的围网;造型;潮汐爱尔兰海;

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