| STUDY ON THE ADJOINT METHOD IN DATA ASSIMILATION AND THE RELATED PROBLEMS |
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| 作者姓名： | 吕咸青 吴自库 谷艺 田纪伟 |
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| 作者单位： | College of Physical and Environmental Oceanography，Ocean University of China，Qingdao 266003，P.R.China，Key Laboratory of Physical Oceanography，Ministry of Education，Qingdao 266003，P.R.China，College of Physical and Environmental Oceanography，Ocean University of China，Qingdao 266003，P.R.China，Key Laboratory of Physical Oceanography，Ministry of Education，Qingdao 266003，P.R.China，College of Information Engineering，Qingdao University，Qingdao 266071，P.R.China，College of Physical and Environmental Oceanography，Ocean University of China，Qingdao 266003，P.R.China，Key Laboratory of Physical Oceanography，Ministry of Education，Qingdao 266003，P.R.China |
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| 基金项目： | theNationalKeyBasicRearchDevelopmentProjectProgramofChina
(G19990 43 80 8)，theNational863_ProjectofChina (2 0 0 1AA63 3 0 3 0 )，theNationalNaturalScienceFoun
dationofChina (40 0 760 0 4) |
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| 摘 要： | IntroductionInthepast 40yearsofdevelopmentofnumericalanalysisandassimilationschemes,mostpresentedschemesbelongtooneofthreebasicallydifferentclassesofalgorithms :localpolynomialinterpolationmethods,statistical (optimal)interpolationmethodsandvariationalnumericalanalysismethods.Theadjointmethodinvariationalnumericalanalysisiswidelyusedinmeteorologyandoceanography1 ].Itisusedtosolvemanyvariouspracticalproblems,includingoptimizationofparameters,initialconditionsandboundaryconditionsinthemodel.Tal…
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| 关 键 词： | 变量分析 开放边界条件 伴随矩阵理论 潮汐 数据同化作用 |
| 收稿时间： | 10 August 2002 |
Study on the adjoint method in data assimilation and the related problems |
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| Lü Xian-qing,Wu Zi-ku,Gu Yi,Tian Ji-wei.STUDY ON THE ADJOINT METHOD IN DATA ASSIMILATION AND THE RELATED PROBLEMS[J].Applied Mathematics and Mechanics(English Edition),2004,25(6):636-646. |
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| Authors: | Lü Xian-qing Wu Zi-ku Gu Yi Tian Ji-wei |
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| Institution: | 1. College of Physical and Environmental Oceanography,Ocean University of China,Qingdao 266003,P.R.China;Key Laboratory of Physical Oceanography,Ministry of Education,Qingdao 266003,P.R.China
2. College of Information Engineering,Qingdao University,Qingdao 266071,P.R.China |
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| Abstract: | It is not reasonable that one can only use the adjoint of model in data assimilation. The simulated numerical experiment shows
that for the tidal model, the result of the adjoint of equation is almost the same as that of the adjoint of model: the averaged
absolute difference of the amplitude between observations and simulation is less than 5.0 cm and that of the phase-lag is
less than 5.0°. The results are both in good agreement with the observedM
2 tide in the Bohai Sea and the Yellow Sea. For comparison, the traditional methods also have been used to simulateM
2 tide in the Bohai Sea and the Yellow Sea. The initial guess values of the boundary conditions are given first, and then are
adjusted to acquire the simulated results that are as close as possible to the observations. As the boundary conditions contain
72 values, which should be adjusted and how to adjust them can only be partially solved by adjusting them many times. the
satisfied results are hard to acquire even gigantic efforts are done. Here, the automation of the treatment of the open boundary
conditions is realized. The method is unique and superior to the traditional methods. It is emphasized that if the adjoint
of equation is used, tedious and complicated mathematical deduction can be avoided. Therefore the adjoint of equation should
attract much attention.
Foundation items: the National Key Basic Rearch Development Project Program of China (G1999043808); the National 863-Project of China (2001AA633030);
the National Natural Science Foundation of China (40076004)
Biography: Lü Xian-qing (1963 ≈), Professor Doctor |
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| Keywords: | data assimilation variational analysis adjoint method tide open boundary condition |
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