Modeling the interaction of an internal solitary wave with a sill

LI Qun; XU Zhenhua; YIN Baoshu; BAI Tao; LIU Kun; WANG Yang

doi:10.1007/s13131-015-0745-1

Article Contents

Article Navigation > Acta Oceanologica Sinica > 2015 > 34(11): 32-37

LI Qun, XU Zhenhua, YIN Baoshu, BAI Tao, LIU Kun, WANG Yang. Modeling the interaction of an internal solitary wave with a sill[J]. Acta Oceanologica Sinica, 2015, 34(11): 32-37. doi: 10.1007/s13131-015-0745-1

Citation:

LI Qun, XU Zhenhua, YIN Baoshu, BAI Tao, LIU Kun, WANG Yang. Modeling the interaction of an internal solitary wave with a sill[J]. Acta Oceanologica Sinica, 2015, 34(11): 32-37. doi: 10.1007/s13131-015-0745-1

Citation:

PDF( 2819 KB)

Modeling the interaction of an internal solitary wave with a sill

doi: 10.1007/s13131-015-0745-1

1.
Polar Research Institute of China, Shanghai 200136, China
2.
Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Waves (KLOCAW), Chinese Academy of Sciences, Qingdao 266071, China
3.
North China Sea Marine Forecasting Center of State Oceanic Administration, Qingdao 266033, China
4.
Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Waves (KLOCAW), Chinese Academy of Sciences, Qingdao 266071, China;University of Chinese Academy of Sciences, Beijing 100049, China

Received Date: 2015-03-19
Rev Recd Date: 2015-06-14

Abstract

Abstract

A nonhydrostatic numerical model was developed and numerical experiments performed on the interaction of an internal solitary wave (ISW) with a sill, for a two-layer fluid with a diffusive interface. Based on the blocking parameter (B_r), the flow was classified into three cases: (1) when bottom topography has little influence on the propagation and spatial structure of the ISW (B_r<0.5), (2) where the ISW is distorted significantly by the blocking effect of the topography (though no wave breaking occurs, (0.5< B_r <0.7), and (3) where the ISW is broken as it encounters and passes over the bottom topography (0.7<B_r). The numerical results obtained here are consistent with those obtained in laboratory experiments. The breaking process of the incident ISW when B_r≈0.7 was completely reproduced. Dissipation rate was linearly related to the blocking parameter when B_r<0.7, and the maximum dissipation rate could reach about 34% as B_r raised to about 1.0. After that, instead of breaking, more reflection happened. Similarly, breaking induced mixing was also most effective during B_r around 1.0, and can be up to 0.16.
- internal solitary wave,
- nonhydrostatic model,
- wave breaking,
- blocking degree

FullText(HTML)

References(26)

References

Apel J R, Holbrook J R, Liu A K, et al. 1985. The Sulu Sea internal soliton experiment. J Phys Oceanogr, 15(12): 1625-1651

Chen Chenyuan. 2007. An experimental study of stratified mixing caused by internal solitary waves in a two-layered fluid system over variable seabed topography. Ocean Engineering, 34(14-15): 1995-2008

Chen Chenyuan, Hsu J R-C, Chen H-H, et al. 2007. Laboratory obser-vations on internal solitary wave evolution on steep and in-verse uniform slopes. Ocean Engineering, 34(1): 157-170

Gill A E. 1982. Atmosphere-Ocean Dynamics. New York: Academic Press, 138-142 Grue J, Jensen A, Rus.s P-O, et al. 2000. Breaking and broadening of internal solitary waves. J Fluid Mech, 413: 181-217

Guo Yakun, Sveen J K, Davies P A, et al. 2005. Modelling the motion of an internal solitary wave over a bottom ridge in a stratified fluid. Environmental Fluid Mechanics, 4(4): 415-441

Helfrich K R. 1992. Internal solitary wave breaking and run-up on a uniform slope. J Fluid Mech, 243: 133-154 Helfrich K R, Melville W K. 1986. On long nonlinear internal waves over slope-shelf topography. J Fluid Mech, 167: 285-308

Hüttemann H, Hutter K. 2001. Baroclinic solitary water in a two-layer fluid system with diffusive interface. Exp Fluids, 30(3): 317-326

Ivey G N, Nokes R I. 1989. Vertical mixing due to the breaking of crit-ical internal waves on sloping boundaries. J Fluid Mech, 204: 479-500

Kuo C F. 2005. Experimental study on the evolution and effect of bot-tom obstacle on internal solitary wave[dissertation]. Taiwan: National Sun Yat-Sen University

Liu A K, Chang Y S, Hsu M-K, et al. 1998. Evolution of nonlinear in-ternal waves in the East and South China Seas. J Geophys Res, 103(C4): 7995-8008, doi: 10.1029/97JC01918

Michallet H, Ivey G N. 1999. Experiments on mixing due to internal solitary waves breaking on uniform slopes. J Geophys Res, 104(C6): 13467-13477

Munk W, Wunsch C. 1998. Abyssal recipes II: energetics of tidal and wind mixing. Deep-Sea Res Pt I, 45(12): 1977-2010 Osborne A R, Burch T L. 1980. Internal solitons in the Andaman Sea. Science, 208(4443): 451-460

Rickard G, O'Cllaghan J, Popinet S. 2009. Numerical simulations of internal solitary waves interacting with uniform slopes using an adaptive model. Ocean Modelling, 30(1): 16-28

Sandstrom H, Elliot J A. 1984. Internal tide and solitons on the Sco-tian Shelf: A nutrient pump at work. J Geophys Res, 89(C4): 6415-6426

Slinn D N, Riley J J. 1996. Turbulent mixing in the oceanic boundary layer caused by internal wave reflection from sloping terrain. Dynamics of Atmospheres and Oceans, 24(1-4): 51-62

Sveen J K, Guo Yakun, Davies P A, et al. 2002. On the breaking of in-ternal solitary waves at a ridge. J Fluid Mech, 469: 161-188

Vlasenko V I, Hutter K. 2002. Numerical experiments on the breaking of solitary internal waves over a slope-shelf topography. J Phys Oceanogr, 32(6): 1779-1793

Wessels F, Hutter K. 1996. Interaction of internal waves with a topo-graphic sill in a two-layered fluid. J Phys Oceanogr, 26(1): 5-20

Xu Zhenhua, Yin Baoshu, Hou Yijun, et al. 2010. A study of internal solitary waves observed on the continental shelf in the north-western South China Sea. Acta Oceanol Sin, 29: 18-25

Xu Zhenhua, Yin Baoshu, Hou Yijun. 2010. Highly nonlinear internal solitary waves over the continental shelf of the northwestern South China Sea. Chin J Oceanol Limonol, 28(5): 1049-1054

Xu Zhenhua, Yin Baoshu, Hou Yijun. 2011. Response of internal solit-ary waves to tropical storm Washi in the northwestern South China Sea. Ann Geophys, 29: 2181-2187, doi: 10.5194/angeo-29-2181-2011

Yuan Yeli, Zheng Quan'an, Dai Dejun, et al. 2006. Mechanism of in-ternal waves in the Luzon Strait. J Geophys Res, 111(C11): C11S17, doi: 10.1029/2005JC003198

Zhao Zhongxiang, Alford M H. 2006. Source and propagation of in-ternal solitary waves in the northeastern South China Sea. J Geophys Res, 111(C11): C11012, doi: 10.1029/2006JC003644

Zhao Zhongxiang, Alford M H, MacKinnon J A, et al. 2010. Long-range propagation of the semidiurnal internal tide from the Hawaiian Ridge. J Phys Oceanogr, 40(4): 713-736, doi: 10.1175/2009JPO4207.1

Zheng Quan'an, Susanto R D, Ho C-R, et al. 2007. Statistical and dy-namical analyses of generation mechanisms of solitary internal waves in the northern South China Sea. J Geophys Res, 112(C3): C03021, doi: 10.1029/2006JC003551

Zheng Quan'an, Zhu Benlu, Li Junyi, et al. 2015. Growth and dissipa-tion of typhoon-forced solitary continental shelf waves in the northern South China Sea. Climate Dyn, 45(3): 853-865, doi: 10.1007/s00382-014-2318-y

Relative Articles

Supplements(0)

Cited By

Proportional views