| 数值天气预报中的两类反问题及一种数值解法──理想试验 |
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| 引用本文： | 郜吉东,丑纪范. 数值天气预报中的两类反问题及一种数值解法──理想试验[J]. 气象学报, 1994, 52(2): 129-137 |
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| 作者姓名： | 郜吉东 丑纪范 |
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| 作者单位： | 兰州大学大气科学系 |
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| 基金项目： | 国家教委高等学校博士点专项科研基金 |
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| 摘 要： | 针对数值预报中产生误差的两个来源提出了数值预报中存在着两类反问题。并在一维的非线性平流扩散方程上，用共轭方程的解法对提出的两类反问题作出了理想场的数值试验。试验结果表明，这种解反问题的方法非常有效。它利用＂观测资料＂所包含的时间演变的信息确定出了方程的初值或方程中误差订正项的空间分布状况。而且无论对＂观测资料＂的超定还是欠定都能得出较有意义的结果。因而有很大的利用前景。
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| 关 键 词： | 共轭方程，反问题，最优控制技术 |
| 收稿时间： | 1992-03-28 |
| 修稿时间： | 1992-07-14 |
TWO KINDS OF INVERSE PROBLEMS IN NWP AND A NUMERICAL METHOD-IDEAL FIELD EXPERIMENT |
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| Gao Jidong and Chou Jifan. TWO KINDS OF INVERSE PROBLEMS IN NWP AND A NUMERICAL METHOD-IDEAL FIELD EXPERIMENT[J]. Acta Meteorologica Sinica, 1994, 52(2): 129-137 |
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| Authors: | Gao Jidong and Chou Jifan |
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| Affiliation: | The Atmospheric Department of Lanzhou University, Lanzhou, 730001;The Atmospheric Department of Lanzhou University, Lanzhou, 730001 |
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| Abstract: | According to the two sources of errors in NWP, two kinds of inverse problems are put forward, then some numerical expriments of ideal fields are performed on these two inverse problems using a nonlinear advective-diffusion equation and its ad joint equation.The result shows that this method for solving the inverse problems is fairly effective. It can determine the initial spatial state of meteorological elements (or the error correctlve term of model equation) through the time-varition information involved in the observa-nonal data. This method can be used to obtain significant results whether the observation is over-determined or underdetermined. |
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| Keywords: | Adjoint equation Inverse problem Optimum control techniques. |
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