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On Internal Waves Propagating across a Geostrophic Front
Li, Qiang; Mao, Xianzhong; Huthnance, John1; Cai, Shuqun2; Kelly, Samuel3,4
AbstractReflection and transmission of normally incident internal waves propagating across a geostrophic front, like the Kuroshio or Gulf Stream, are investigated using a modified linear internal wave equation. A transformation from depth to buoyancy coordinates converts the equation to a canonical partial differential equation, sharing properties with conventional internal wave theory in the absence of a front. The equation type is determined by a parameter Delta, which is a function of horizontal and vertical gradients of buoyancy, the intrinsic frequency of the wave, and the effective inertial frequency, which incorporates the horizontal shear of background geostrophic flow. In the Northern Hemisphere, positive vorticity of the front may produce Delta <= 0, that is, a "forbidden zone," in which wave solutions are not permitted. Thus, Delta = 0 is a virtual boundary that causes wave reflection and refraction, although waves may tunnel through forbidden zones that are weak or narrow. The slope of the surface and bottom boundaries in buoyancy coordinates (or the slope of the virtual boundary if a forbidden zone is present) determine wave reflection and transmission. The reflection coefficient for normally incident internal waves depends on rotation, isopycnal slope, topographic slope, and incident mode number. The scattering rate to high vertical modes allows a bulk estimate of the mixing rate, although the impact of internal wave-driven mixing on the geostrophic front is neglected.
KeywordInternal waves Tides
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Document Type期刊论文
Affiliation1.Tsinghua Univ, Grad Sch Shenzhen, Shenzhen, Peoples R China
2.Natl Oceanog Ctr, Liverpool, Merseyside, England
3.Chinese Acad Sci, State Key Lab Trop Oceanog, South China Sea Inst Oceanol, Guangzhou, Guangdong, Peoples R China
4.Univ Minnesota, Large Lakes Observ, Duluth, MN 55812 USA
5.Univ Minnesota, Dept Phys, Duluth, MN 55812 USA
Recommended Citation
GB/T 7714
Li, Qiang,Mao, Xianzhong,Huthnance, John,et al. On Internal Waves Propagating across a Geostrophic Front[J]. JOURNAL OF PHYSICAL OCEANOGRAPHY,2019,49(5):1229, 1248.
APA Li, Qiang,Mao, Xianzhong,Huthnance, John,Cai, Shuqun,&Kelly, Samuel.(2019).On Internal Waves Propagating across a Geostrophic Front.JOURNAL OF PHYSICAL OCEANOGRAPHY,49(5),1229.
MLA Li, Qiang,et al."On Internal Waves Propagating across a Geostrophic Front".JOURNAL OF PHYSICAL OCEANOGRAPHY 49.5(2019):1229.
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