Grue John
Mechanics Division, Department of Mathematics, University of Oslo, Moltke Moes vei 35 Oslo, NO-0316 Norway.
Chaos. 2005 Sep;15(3):37110. doi: 10.1063/1.2047907.
Tidal, two-layer flow over topography generates a kink of the interface separating an upstream interfacial elevation from a depression above the topography. Upstream undular bores and solitary waves of large amplitude are generated from the interfacial kink. The waves propagate upstream when the tide turns. Interfacial simulations of this kind of generation process fit with the observations at Knight Inlet in British Columbia, in the Sulu Sea experiment, and undular bores generated by internal tides in the Strait of Gibraltar. Fully nonlinear interfacial computations compare successfully with experimental observations of solitary waves in the laboratory and in the field for wave amplitudes ranging from small to maximal values. The waves exhibit only minor sensitivity to a finite thickness of the pycnocline. Analytical solitary waves are recaptured in the small amplitude limit. Shear-induced breaking appears first in the top part of the pycnocline and is expressed in terms of the Richardson number. Convective breaking in the top part of the water column occurs beyond a threshold amplitude when a pronounced stratification continues all the way to the ocean surface.
地形上的潮汐双层流会在分隔上游界面隆起与地形上方凹陷的界面处产生一个扭结。从界面扭结处会产生上游的波动型涌潮和大振幅孤立波。当潮汐转向时,这些波会向上游传播。这种生成过程的界面模拟与不列颠哥伦比亚省奈特湾、苏禄海实验以及直布罗陀海峡内潮产生的波动型涌潮的观测结果相符。对于从小振幅到最大振幅范围内的波浪,完全非线性界面计算与实验室和现场孤立波的实验观测结果成功比对。这些波对斜温层的有限厚度仅表现出较小的敏感性。在小振幅极限情况下能重新得到解析孤立波。剪切诱导破碎首先出现在斜温层顶部,并以理查森数来表示。当明显的分层一直延伸到海洋表面时,水柱顶部的对流破碎会在超过阈值振幅时发生。