用伴随法优化非线性潮汐模型的开边界条件Ⅰ.伴随方程的建立及“孪生”数值试验

韩桂军; 何柏荣; 马继瑞; 刘克修; 李冬

用伴随法优化非线性潮汐模型的开边界条件Ⅰ.伴随方程的建立及“孪生”数值试验

1.
国家海洋信息中心, 天津 300171;中国科学院海洋研究所, 青岛 266071
2.
南开大学数学科学学院, 天津 300071
3.
国家海洋信息中心, 天津 300171

基金项目: 国家自然科学基金项目(批准号:49876001);国家基础研究“九五”攀登项目“现代地壳运动和地球动力学研究”;国家海洋局青年海洋科技基金项目

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出版历程
- 收稿日期: 1999-10-14
- 修回日期: 2000-03-20

Optimizing open boundary conditions of nonlinear tidal model using adjoint method Ⅰ.The establishment of ad joint model and twin-experiment

1.
National Marine Data and Information Service, State Oceanic Administration, Tianjin300171;Institute of Oceanology, Chiness Academy of Sciences, Qingdao 266071
2.
College of Mathematic Science, Nankai University, Tianjin 300071
3.
National Marine Data and Information Service, State Oceanic Administration, Tianjin300171

摘要

摘要: 本研究采用基于最优控制理论的伴随法,把观测资料同化到陆架海域潮汐数值模型中去,优化开边界条件,提高数值预报的精度。潮汐模型的控制方程为考虑平流项、非线性底摩擦和侧向涡动粘性项的非线性浅水方程组;采用Lagrange乘子法建立了伴随模型。研究分两部分:第一部分即本文,建立非线性浅水方程模型的伴随方程、给出目标函数的梯度,并实现“孪生”数值试验;第二部分另文给出。
- 伴随方程 /
- 潮汐数值模型 /
- 非线性 /
- 开边界
Abstract: In order to improve the prediction of numerical tidal model in continental shelf,the open boundary conditions are optimized by assimilating the observed data into the model in which the adjoint method,based on optimal control theory,is used.The nonlinear shallow water equations are considered in which horizontal kinematicnonlinearities,nonlinear bottom friction and horizontal eddy diffusion are included.The adjoint model is obtained byusing Lagrange multipliers.This study contains two parts: Part Ⅰ (this paper)─the establishment of the adjointmodel and twin-experiment,and part Ⅱ (another paper)─the numerical results which are incorporated the datafrom tide stations with/without TOPEX/POSEIDON altimeter data for optimizing the open boundary conditions ofthe model.
- Adjoint equations /
- numerical tidal model /
- nonlinearities /
- open boundary

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参考文献(13)

Bennett A F,Molntoah P C.Open ocean modeling as an inverse problem tidal theory.J Phys Oceanogr,1982,(12):1004～1018

Sasaki Y.Some basic formalisms in numerical variational analysis.Mon Wea Rev,1970,98:875～883

Thacker,W C,Long R B.Fitting dynamics to data.J Geophys Res,1989,93:1 227～1 240

Lardner R W.Optimal control of open boundary conditions for a numerical tidal model.Computer Methods in Applied Mechanics and Engineering,1993,102:367～387

朱江,曾庆存,郭冬建,等.利用伴随算子法从岸边潮位站资料估计近岸模式的开边界条件.中国科学(D辑),1997,27(5):462～468

Greiner E,Perigaud C.Assimilation of Geosat altimetric data in a nonlinear reduced-gravity model of the Indian Ocean,Part 1:adjoint approach and model-data consistency.J Phys Oceanogr,1994,24(8): 1 783～1 804

Fukumori I.Assimilation of Topex sea level measurements with reduced-gravity shallow water model of the tropical Pacific Ocean.J Goephys Res,1995,100(12):25 027～25 037

Mouthaan E E A,Heemink A W,Robaczewska K B.Assimilation of ERS-1 altimeter data in a tidal model of the continental shelf.DTSCH Hydrogr Z,1994,46(4):285～319

BennettAF,KloedenPE.The ill-posedness of open ocean models.J PhysOcesnogr,1981,(11):1027～1029

雷光耀,徐洪达,山广林,等.浅海潮波的数值计算方法.海洋环境科学,1983,(2):54～64

雷晋干,陈铭俊,匡蛟勋,等.数值分析的泛函方法.北京:高等教育出版社,1995

Yuanfu Xie.A brief introduction of projects at forecasting systems laboratory NOAA.USA Technical Report.1998

Dong C Liu,Nocedal,J.On the limited memory BFGS method for large scale optimization.Mathematical Programming,1989,45: 503～528

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文章访问数: 794
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