Three dimensional simulation of internal wave attractors in the Luzon Strait

WANG Gang; ZHENG Quanan; LIN Min; DAI Dejun; QIAO Fangli

doi:10.1007/s13131-015-0744-2

Article Contents

Article Navigation > Acta Oceanologica Sinica > 2015 > 34(11): 14-21

WANG Gang, ZHENG Quanan, LIN Min, DAI Dejun, QIAO Fangli. Three dimensional simulation of internal wave attractors in the Luzon Strait[J]. Acta Oceanologica Sinica, 2015, 34(11): 14-21. doi: 10.1007/s13131-015-0744-2

Citation:

WANG Gang, ZHENG Quanan, LIN Min, DAI Dejun, QIAO Fangli. Three dimensional simulation of internal wave attractors in the Luzon Strait[J]. Acta Oceanologica Sinica, 2015, 34(11): 14-21. doi: 10.1007/s13131-015-0744-2

Citation:

PDF( 22930 KB)

Three dimensional simulation of internal wave attractors in the Luzon Strait

doi: 10.1007/s13131-015-0744-2

1.
Key Laboratory of Marine Science and Numerical Modeling (MASNUM), the First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China;Key Laboratory of Data Analysis and Applications, the First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China
2.
Department of Atmospheric and Oceanic Science, University of Maryland, College Park, Maryland 20742, USA
3.
Department of Mathematics, Ocean University of China, Qingdao 266100, China
4.
Key Laboratory of Marine Science and Numerical Modeling (MASNUM), the First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China

Received Date: 2015-03-19
Rev Recd Date: 2015-05-22

Abstract

Abstract

Internal waves propagate along wave beams that are inclined with respect to the horizontal plane. It is conjectured that the internal waves generated in the Luzon Strait may be confined between the double ridges in the strait and concentrate to a closed trajectory, the so-called internal wave attractor, due to the reflection of wave beams from the lateral boundaries, sea surface and bottom. This work carried out two experiments using a three dimensional non-hydrostatic general circulation model, MITgcm, to investigate the possibility that the ridges in the Luzon Strait allows for internal wave attractors. Baroclinic current in both of the experiments demonstrate the forming of ring-like patterns in some section around 20° and 21°N, indicating that the development of the internal wave attractors are allowed in the Luzon Strait. The different resolutions and initial conditions in the two experiments also reveal that the internal-wave-attractor phenomenon is robust in this region.
- Internal wave attractor,
- non-hydrostatic,
- wave beam,
- Luzon Strait

FullText(HTML)

References(43)

References

Amante C, Eakins B W. 2009. ETOPO1 1 arc-minute global relief mod-el: procedures, data sources and analysis. NAOO Technical Memorandum NESDIS NGDC-24. National Geophysical Data Center, NOAA

Bajars J, Frank J, Maas L R M. 2013. On the appearance of internal wave attractors due to an initial or parametrically excited dis-turbance. J Fluid Mech, 714: 283-311

Cai Shuqun, Long Xiaomin, Gan Zijun. 2002. A numerical study of the generation and propagation of internal solitary waves in the Luzon Strait. Oceanologica Acta, 25(2): 51-60

Cai Shuqun, Xie Jieshuo, He Jianling. 2012. An overview of internal solitary waves in the South China Sea. Surveys in Geophysics, 33(5): 927-943

Cai Shuqun, Xie Jieshuo, Xu Jiexin, et al. 2014. Monthly variation of some parameters about internal solitary waves in the South China Sea. Deep-Sea Researth Part I: Oceanographic Research Papers, 84: 73-85

Dintrans B, Rieutord M, Valdettaro L. 1999. Gravito-inertial waves in a rotating stratified sphere or spherical shell. Journal of Fluid Mechanics, 398: 271-297

Duda T F, Lynch J F, Irish J D, et al. 2004. Internal tide and nonlinear internal wave behavior at the continentalslope in the Northern South China Sea. IEEE Journal of Oceanic Engineering, 29(4): 1105-1130

Echeverri P, Yokossi T, Balmforth N J, et al. 2011. Tidally generated internal-wave attractors between double ridges. Journal of Flu-id Mechanism, 669: 354-374

Edbert G D, Erofeeva S Y. 2002. Efficient inverse modeling of baro-tropic ocean tides. Journal of Atmospheric and Oceanic Tech-nology, 19(2): 183-204

Fang Xinhua, Du Tao. 2005. Fundamental of Ocean Internal Waves and Internal Waves in China Seas (in Chinese). Qingdao: Press of Ocean University of China

Gan Xilin, Huang Weigen, Yang Jingsong, et al. 2007. The study of spatial and temporal distribution characteristics of internal waves in the South China Sea from multi-satellite data. Remote Sensing Technology and Application (in Chinese), 22(2): 242-245

G.mez-Giraldo A S, Imberger J, Antenucci J P. 2006. Spatial structure of the dominant basin-scale internal waves in Lake Kinneret. Limnology and Oceanography, 51(1): 229-246

Grisouard N, Staquet C, Pairaud I. 2008. Numerical simulation of a two-dimensional internal wave attractor. Journal of Fluid Mechanics, 614: 1-14

Hazewinkel J, Breevoort P V, Dalziel S B, et al. 2008. Observations on the wavenumber spectrum and evolution of an internal wave attractor. Journal of Fluid Mechanics, 598: 373-382

Hazewinkel J, Grisouard N, Dalziel S B. 2011. Comparison of laborat-ory and numerically observed scalar fields of an internal wave attractor. European Journal of Mechanics-B/Fluids, 30(1): 51-56

Huang Xiaodong, Zhao Wei, Tian Jiwei, et al. 2014. Mooring observa-tions of internal solitary waves in the deep basin west of Luzon Strait. Acta Oceanologica Sinica, 33(3): 82-89

Lam F-P A, Maas L R M. 2008. Internal wave focusing revisited; a reanalysis and new theoretical links. Fluid Dynamics Research, 40(2): 95-122

Li Huan, Song Dan, Chen Xueen, et al. 2011. Numerical study of M₂ internal tide generation and propagation in the Luzon Strait. Acta Oceanologica Sinica, 30(5): 23-32

Liao Guanghong, Yuan Yaochu, Arata K, et al. 2011. Analysis of in-ternal tidal characteristics in the layer above 450m from acous-tic Doppler current profiler observations in the Luzon Strait. Science China Earth Sciences, 54(7): 1078-1094

Liu A K, Hsu M K. 2004. Internal wave study in the South China Sea using Synthetic Aperture Radar (SAR). Int J Remote Sensing, 25(7-8): 1261-1274

Locarnini R A, Mishonov A V, Antonov J I, et al. 2013. World Ocean Atlas 2013, Volume 1: Temperature. In: Levitus S, ed,Mishonov A, technical ed. NOAA Atlas NESDIS 73, 40

Lorenz N E. 1963. Deterministic nonperiodic flows. Journal of Atmo-spheric Science, 20(2): 130-141

Maas L R M. 2001. Wave focusing and ensuing mean flow due to sym-metry breaking in rotating fluids. Journal of Fluid Mechanics,437: 13-28

Maas L R M. 2005. Wave attractors: linear yet nonlinear. Internation-al Journal of Bifurcation and Chaos, 15(9): 2757-2782 Maas L R M. 2009. Exact analytic self-similar solution of a wave at-tractor field. Physica D: Nonlinear Phenomena, 238(5): 502-505

Maas L R M, Benielli D, Sommeria J, et al. 1997. Observation of an in-ternal wave attractor in a confined stable stratified fluid. Nature, 388(6642): 557-561

Maas L R M, Lam F-P A. 1995. Geometric focusing of internal waves. Journal of Fluid Mechanics, 300: 1-41

MacKinnon J. 2013. Oceanography: Mountain waves in the deep ocean. Nature, 501(7467): 321-322

Manders A M M, Duistermaat J J, Maas L R M. 2003. Wave attractors in a smooth convex enclosed geometry. Physica D: Nonlinear Phenomena, 186(3-4):109-132

Manders A M M, Maas L R M. 2003. Observations of inertial waves in a rectangular basin with one sloping boundary. Journal of Flu-id Mechanics, 493: 59-88

Nikurashin M, Ferrari R. 2013. Overturning circulation driven by breaking internal waves in the deep ocean. Geophysical Re-search Letters, 40(12): 3133-3137

Ogilvie G I. 2005. Wave attractors and the asymptotic dissipation rate of tidal disturbances. Journal of Fluid Mechanics, 543: 19-44

Pinkel R, Muijsman M, Klymak J M. 2012. Breaking topographic lee waves in a tidal channel in Luzon Strait. Oceanography, 25(2): 160-165

Rieutord M, Georgeot B, Valdettaro L. 2001. Inertial waves in a rotat-ing spherical shell: attractors and asymptotic spectrum. Journ-al of Fluid Mechanics, 435(1): 103-144

Scolan H, Ermanyuk E, Dauxois T. 2013. Nonlinear fate of internal wave attractors. Phys Rev Lett, 110(23): 234501

Staquet C, Sommeria J. 2002. Internal Gravity Waves: from instabilit-ies to turbulence. Annual Review of Fluid Mechanics, 34(1): 559-594

Swart A, Manders A, Harlander U, et al. 2010. Experimental observa-tion of strong mixing due to internal wave focusing over slop-ing terrain. Dynamics of Atmospheres and Oceans, 50(1): 16-34

Tang W, Peacock T. 2010. Lagrangian coherent structures and intern-al wave attractors. Chaos, 20: 017508

Wang Gang, Qiao Fangli. 2010. Numerical simulation on internal wave attractors. Haiyang Xuebao (in Chinese), 32(6): 25-34

Yang Yingjang, Tang T Y, Chang M H, et al. 2004. Solitons northeast of Tung-Sha Island during the ASIAEX pilot studies. IEEE Journal of Oceanic Engineering, 29(4): 1182-1199

Zhao Zhongxiang. 2014. Internal tide radiation from the Luzon Strait. Journal of Geophysical Research: Oceans, 119(8): 5434-5448

Zhao Zhongxiang, Klemas V, Zheng Quanan, et al. 2004. Remote sensing evidence for baroclinic tide origin of internal solitary waves in the northeastern South China Sea. Geophysical Research Letters, 31: L06302

Zheng Quanan, Susanto R D, Ho C, et al. 2007. Statistical and dynam-ed; NOAA Atlas NESDIS 74, 39 ical analyses of generation mechanisms of solitary internal waves in the northern South China Sea. Journal of Geophysical Research, 112: C03021

Zwentg M M, Reagan J R, Antonov J I, et al. 2013. World Ocean Atlas 2013, Volume 2: Salinity. Levitus S, ed, Mishonov A, technicaled; NOAA Atlas NESDIS 74, 39

Relative Articles

Supplements(0)

Cited By

Proportional views