Mathematical Analysis of Continental Shelf Waves on a Curved Coast

弯曲海岸上大陆架波的数学分析

• 批准号: EP/D058864/1
• 负责人: Edward Johnson
• 金额: $ 12.93万
• 依托单位: University College London
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FD058864%2F1
• 关键词: Mathematical; Analysis; Continental; Shelf; Waves

Measurements of velocity fields along the coasts of oceans throughout the world show that much of the fluid energy is contained in motions with periods of a few days or longer. The comparison of measurements at different places along the same coast show that in general these low-frequency disturbances propagate along coasts with shallow water to the right in the northern hemisphere and to the left in the southern hemisphere. These waves have come to be known as continental shelf waves (CSWs). The purpose of the present proposal is to determine, using a selection of models of increasing complexity, the form of non-propagating, trapped CSWs along curved coasts. The existence of such non-propagating modes is significant as they would tend to be forced by atmospheric weather systems, which have similar periods of a few days, similar horizontal extent, and a reasonably broad spectrum in space and time. Areas where such modes were trapped would thus appear to be likely to show higher than normal energy in the low frequency horizontal velocity field.

对全世界海洋沿着速度场的测量表明，大部分流体能量包含在周期为几天或更长时间的运动中。对同一海岸沿着不同地点的测量结果进行比较表明，一般来说，这些低频扰动在北方半球沿沿着浅水海岸向右传播，在南半球沿浅水海岸向左传播。这些波被称为大陆架波（CSW）。本提案的目的是使用一系列复杂性不断增加的模型来确定沿着弯曲海岸的非传播、被困CSW的形式。沿着弯曲海岸。这种非传播模式的存在是重要的，因为它们往往会受到大气天气系统的影响，这些天气系统具有类似的几天周期，类似的水平范围，以及在空间和时间上相当宽的频谱。因此，这种模式被捕获的区域似乎可能在低频水平速度场中显示出比正常能量更高的能量。

项目成果

Spectral methods for coastal-trapped waves

沿海陷波的频谱方法

• DOI: 10.1016/j.csr.2011.06.009
• 发表时间: 2011
• 期刊: Continental Shelf Research
• 影响因子: 2.3
• 作者: Johnson E

Geostrophic adjustment in a closed basin with islands

岛屿封闭盆地的地转调整

• DOI: 10.1017/jfm.2013.598
• 发表时间: 2013
• 期刊: Journal of Fluid Mechanics
• 影响因子: 3.7
• 作者: Johnson E

Meanders and Eddies from Topographic Transformation of Coastal-Trapped Waves

• DOI: 10.1175/jpo-d-12-0224.1
• 发表时间: 2014-04
• 期刊: Journal of Physical Oceanography
• 影响因子: 3.5
• 作者: J. Rodney;E. Johnson

Isobath variation and trapping of continental shelf waves

等深线变化与大陆架波的俘获

• DOI: 10.1017/jfm.2012.153
• 发表时间: 2012
• 期刊: Journal of Fluid Mechanics
• 影响因子: 3.7
• 作者: Kaoullas G

Deformation of vortex patches by boundaries

涡斑边界变形

• DOI: 10.1063/1.4790809
• 发表时间: 2013
• 期刊: Physics of Fluids
• 影响因子: 4.6
• 作者: Crosby A