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《Advances in Marine Science》 2005-02
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On the Errors of Boussinesq Approximation in Ocean Models

CAI Yi 1,SONG Xue-jia 1, YU Wei-dong 2,3 (1. National Marine Environmental Forecasting Center, Beijing 100081,China; 2.First Institute of Oceanography, SOA, Qingdao 266061, China; 3.Key Laboratory of Marine Science and Numerical Modeling, SOA, Qingdao 266061,China)  
In this paper, based on the global warming characteristics, an ideal numerical experiment plan is designed, and a Boussinesq POP ocean model and a modified non-Boussinesq POP ocean model are used to quantitatively discuss the errors of Boussinesq approximation in ocean models. It is shown from the computation results that under the thermodynamic circulation condition by heating, the horizontal sea level rise distribution is basically uniform, and under the given initial and boundary conditions, the sea level error due to Boussinesq approximation can be as high as 59%, the sea surface height at the heat source center in Boussinesq model is much smaller than that in non-Boussinesq model, and there is false sea surface height fall around the heat source; under the thermohaline circulation condition by heating, the computed latitudinally and longitudinally vertical circulations are falsely strengthened due to Boussinesq approximation although this error is only about 1%; on the assumption of Boussinesq approximation, the error of vertically-integrated longitudinal heat flux at the equator is one-order greater than that of mass flux, the vertical distributions of air pressure gradient work calculated by non-Boussinesq model are fluctuating in water depths of greater than 3 000 m, but those calculated by Boussinesq model are basically uniform in water depths of greater than 3 000 m, and the error of Boussinesq approximation is more than 10%.
【Fund】: 国家自然科学基金项目——全球增暖对海平面和太平洋环流的影响(40276002);; 国家自然科学重点基金项目——太平洋印度洋暖池动力学和海气相互作用(40231012)
【CateGory Index】: P731.2
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【Citations】
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1 LI Wei~(1,2),ZHANG Xue-hong~(1,2),JIN Xiang-ze~(1,2)(1. Institute of Atmospheric Physics, Chinese Academy of Sciences,Numerical Modeling for Atmospheric Sciences and Geophsical Fluid Dynamics, Beijing 100029, China);Sea Level Height on Different Approximations Assumptions in Ocean Circulation Models[J];Advances in Marine Science;2003-02
【Co-references】
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1 WANG Shao wu 1,GONG Dao yi 2 (1 Department of Geophysics, Peking University, Beijing 100871,China; 2 Key Lab of Environmental Change and Natural Disaster, Beijing Normal University, Beijing 100875,China);On debates concerning the global warming[J];Geographical Research;2001-02
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1 CAI Yi , WANG Zhang-gui National Marine Environmental Forecast Center, Beijing 100081, China;Simulation of Pacific Ocean Circulations Based on Global Warming from 1960 to 1999[J];海洋通报(英文版);2010-01
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3 CAI Rong-shuo,TAN Hong-jian(Key Lab of Global Change and Marine-Atmospheric Chemistry,Third Institute of Oceanography,SOA,Xiamen 361005,China);Influence of interdecadal climate variation over East Asia on offshore ecological system of China[J];Journal of Oceanography in Taiwan Strait;2010-02
4 XU Shan-Shan1,ZUO Jun-Cheng2,CHEN Mei-Xiang2(1.Ocean University of China,Qingdao 266100,China;2.Ho Hai University,Nanjing 210098,China);North Pacific Sea Level Change and Its Impact Factors During 1993—2006[J];Periodical of Ocean University of China;2010-09
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