Theoretical study of the effect of topographic height and width on generation of internal tides

Anzhou Cao; Xianqing Lü; Chunbao Miao

doi:10.1007/s00343-015-4046-5

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Theoretical study of the effect of topographic height and width on generation of internal tides

OriginalPaper | Updated：2023-05-16

- Theoretical study of the effect of topographic height and width on generation of internal tides
- Theoretical study of the effect of topographic height and width on generation of internal tides
- 海洋湖沼学报（英文） 2014年32卷第6期页码：1421-1434
- Affiliations：
  
  Laboratory of Physical Oceanography Ocean University of China
- Author bio：
- Funds：
  
  Supported by the National Natural Science Foundation of China (No. 41371496), the National High Technology Research and Development Program of China (863 Program) (No. 2013AA122803), and the Fundamental Research Funds for the Central Universities (Nos. 201262007, 201362033)
- DOI：10.1007/s00343-015-4046-5
  中图分类号：
- 网络首发：2014-08-07，
  
  纸质出版：2014
- Accepted：
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Theoretical study of the effect of topographic height and width on generation of internal tides[J]. 海洋湖沼学报（英文）, 2014,32(6):1421-1434.

Cao, A., Lü, X. & Miao, C. Theoretical study of the effect of topographic height and width on generation of internal tides., Chin. J. Ocean. Limnol. 32, 1421–1434 (2014). https://doi.org/10.1007/s00343-015-4046-5
Theoretical study of the effect of topographic height and width on generation of internal tides[J]. 海洋湖沼学报（英文）, 2014,32(6):1421-1434. DOI： 10.1007/s00343-015-4046-5.

Cao, A., Lü, X. & Miao, C. Theoretical study of the effect of topographic height and width on generation of internal tides., Chin. J. Ocean. Limnol. 32, 1421–1434 (2014). https://doi.org/10.1007/s00343-015-4046-5 DOI：

摘要

Abstract

Internal tides generated upon two-dimensional Gaussian topographies of different sizes and steepness are investigated theoretically in a numerical methodology. Compared with previous theoretical works

this model is not restricted by weak topography

but provides an opportunity to examine the influence of topography. Ten typical cases are studied using different values of height and/or width of topography. By analyzing the baroclinic velocity fields

as well as their first eight baroclinic modes

it is found that the magnitude of baroclinic velocity increases and the vertical structure becomes increasingly complex as height increases or width decreases. However

when both height and width vary

while parameter s (the ratio of the topographic slope to the characteristic slope of the internal wave ray) remains invariant

the final pattern is influenced primarily by width. The conversion rate is studied and the results indicate that width determines where the conversion rate reaches a peak

and where it is positive or negative

whereas height affects only the magnitude. High and narrow topography is considerably more beneficial to converting energy from barotropic to baroclinic fields than low and wide topography. Furthermore

parameter s

which is an important non-dimensional parameter for internal tide generation

is not the sole parameter by which the baroclinic velocity fields and conversion rate are determined.

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references

Balmforth N J, Ierley G R, Young W R. 2002. Tidal conversion by subcritical topography. J. Phys. Oceanogr., 32: 2 900–2 914.

Balmforth N J, Peacock T. 2009. Tidal conversion by supercritical topography. J. Phys. Oceanogr., 39: 1 965–1 974.

Bell T H. 1975. Topographically generated internal waves in the open ocean. J. Geophys. Res., 80: 320–327.

Craig P D. 1987. Solutions for internal tidal generation over costal topography. J. Mar. Res., 45: 83–105.

Egbert G D, Ray R D. 2000. Significant dissipation of tidal energy in the deep ocean inferred from satellite altimeter data. Nature, 405: 775–778.

Griffiths S D, Grimshaw R H J. 2007. Internal tide generation at the Continental shelf modeled using a modal decomposition: two-dimensional results. J. Phys. Oceanogr., 37: 428–451.

Legg S, Huijts K M H. 2006. Preliminary simulations of internal waves and mixing generated by finite amplitude tidal flow over isolated topography. Deep Sea Res. II, 53: 140–156.

Llewellyn Smith S G, Young W R. 2002. Conversion of the barotropic tide. J. Phys. Oceanogr., 32: 1 554–1 566.

Kelly S M, Nash J D. 2010. Internal-tide generation and destruction by shoaling internal tides. Geophys. Res. Lett., 37: L23611, http://dx.doi.org/10.1029/2010GL045598.

Khatiwala S. 2003. Generation of internal tides in an ocean of finite depth: analytical and numerical calculations. Deep-Sea Res. I, 50: 3–21.

Munk W. 1997. Once again: once again-tidal friction. Prog. Oceanogr., 40: 7–35.

Niwa Y, Hibiya T. 2001. Numerical study of the spatial distribution of the M2 internal tide in the Pacific Ocean. J. Geophys. R., 106: 22 441–22 449.

Petrelis F, Llewellyn Smith S G, Young W R. 2006. Tidal conversion at a submarine ridge. J. Phys. Oceanogr., 36: 1 053–1 071.

Prinsenberg S J, Wilmot W L, Rattray M. 1974. Generation and dissipation of coastal internal tides. Deep Sea R. Oceanogr. Abstr., 21: 263–281.

Rudnick D L, Boyd T J, Brainard R E et al. 2003. From tides to mixing along the Hawaiian Ridge. Science, 301: 355–357.

St. Laurent L, Garrett C. 2002. The role of internal tides in mixing the deep oceans. J. Phys. Oceanogr., 32: 2 882–2 899.

St. Laurent L, Stringer S, Garrett C, Perrault-Joncas D. 2003. The generation of internal tides at abrupt topography. Deep Sea Res. I, 50: 987–1 003.

Stigebrandt A. 1980. Some aspects of tidal interaction with fjord constrictions. Estuar. Coast. Mar. Sci., 11: 151–166.

Tian J, Zhou L, Zhang X. 2006. Latitudinal distribution of mixing rate caused by the M2 internal tide. J. Phys. Oceanogr., 36: 35–42.

Wunsch C. 1968. On the propagation of internal waves up a slope. Deep Sea Res. Oceanogr. Abstr., 15: 251–258.

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