| 准地转大洋风生环流的格子Boltzmann数值模拟 |
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| 引用本文： | 钟霖浩,罗德海,冯士德,高守亭.准地转大洋风生环流的格子Boltzmann数值模拟[J].地球物理学报,2006,49(5):1257-1270. |
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| 作者姓名： | 钟霖浩 罗德海 冯士德 高守亭 |
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| 作者单位： | 1.中国科学院大气物理研究所云降水物理与强风暴实验室(LACS),北京 100029 2 中国海洋大学海洋环境学院气象系,青岛 266003 |
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| 基金项目： | 中国科学院"百人计划"，国家自然科学基金 |
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| 摘 要： | 建立了求解准地转相当正压涡度方程的格子Boltzmann (LB)模型. 该模型将准地转相当正压涡度方程作为一个平流-扩散-反应方程来加以处理，在整体二阶精度下，通过Chapman_Enskog多尺度分析法，可将格子Boltzmann方程还原到相当正压涡度方程. 在不同Reynolds数、不同边界条件以及不同风应力驱动下的数值解表明，该模型正确反映了风生环流的基本结构和不同边界的耗散特征，并得到风生环流的多平衡态解等非线性特征. 此外，不同Rossby变形半径下的实验证明，小Rossby变形半径更容易激发环流的非线性模态. 通过与同等类型有限差方案的比较，表明本文的LB模型具有稳定性好、精度高等优点.
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| 关 键 词： | 格子Boltzmann方法 大洋风生环流 西边界流 相当正压涡度方程 非线性 Reynolds数 |
| 文章编号： | 0001-5733（2006）05-1257-14 |
| 收稿时间： | 2005-05-10 |
| 修稿时间： | 2005-05-102006-02-25 |
Lattice Boltzmann modeling for quasi_geostrophic model of wind_driven ocean circulation |
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| ZHONG Lin-Hao,LUO De-Hai,FENG Shi-De,GAO Shou-Ting.Lattice Boltzmann modeling for quasi_geostrophic model of wind_driven ocean circulation[J].Chinese Journal of Geophysics,2006,49(5):1257-1270. |
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| Authors: | ZHONG Lin-Hao LUO De-Hai FENG Shi-De GAO Shou-Ting |
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| Institution: | 1.Laboratory of Cloud_Precipitation Physics and Severe Storms (LACS), Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China 2 Department of Atmospheric and Ocean Science, Ocean University of China, Qingdao 266003, China |
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| Abstract: | A lattice Boltzmann(LB) model is created to solve the quasi-geostrophic equivalent barotropic vorticity equation numerically. In this numerical scheme,the quasi-geostrophic barotropic equivalent vorticity equation is considered as a convection-diffusion-reaction equation.Under overall second-order accuracy,the quasi-geostrophic barotropic equivalent vorticity equation is recovered from the LB equation by Chapman-Enskog asymptotic technique.From the numerical results under different Reynolds numbers,different boundary conditions and different types of wind-stress,the LB model shows correct basic structure and dissipation features of the wind-driven ocean circulation.The nonlinear feature,such as multiple-equilibrium solutions,is also obtained by this LB model. It is also found that the nonlinear mode is more obvious under relatively small Rossby deformation radius.With contrast to the result of the equal finite difference model,this LB model shows higher-order accuracy and better numerical stability. |
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| Keywords: | Lattice Boltzmann method Wind-driven ocean circulation West boundary current Equivalent barotropic vorticity equation Nonlinear Reynolds number |
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