| 应用于双向套网格模式的一种变格距差分解法 |
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| 引用本文： | 王以农,朱永禔.应用于双向套网格模式的一种变格距差分解法[J].应用气象学报,1988,3(1):25-35. |
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| 作者姓名： | 王以农 朱永禔 |
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| 作者单位： | 1.上海台风研究所
(王以农)，上海台风研究所(朱永禔) |
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| 摘 要： | 本文提出了一种用于双向套网格模式的变格距差分计算方案。该方案在不同格距的网格区采用不同精度的差分格式，它自然地连接粗细网格，避免了一般套网格方案在粗细网格相重合点上进行的重复计算。用解析法和数值试验证明了:它与其它一些变格距差分格式相比，对短波的穿透能力有明显改进，虚假的反射也较小。应用该方案建立了正压原始方程双向套网格模式，并采用空间分解和时间分解计算方法。这不仅使二维问题转化为二个一维问题，而且二维套网格也可简化为一维均匀网格和一维套网格两部分，从而使计算和程序简化。用理想场为初值所做的一系列数值试验表明，该模式中的波可以自由进出粗细网格区，计算稳定。最后，还用该模式做了台风路径预报试验，给出了一些试验结果。
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A Finite-difference Scheme for the Two-way Nested Mesh Model |
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| Institution: | (Shanghai Typhoon Institite) |
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| Abstract: | A finite-difference scheme with variable mesh scale for the two-way nested mesh model is designed, to which the finite difference formulas with different order of accuracy in coarse and fine meshes are applied. The calculation repeated at the grids of the coarse and fine overlapping meshes is avoided. The analytic solutions and the results of the numerical experiments show that as compared with other difference schemes with non-uniform gird, the scheme would produce small false reflectivity for the shortwave. A nested mesh model of barotropic primitive equation is constructed by means of the scheme. A time-spliting and spatial-spliting method is used in the model, in which the two-dimensional equation is transformed into two sets of one–dimensional equation so that the numerical calculating and computer programming are simplified. A series of the results of numerical experiments using ideal fields as initial data show that the model is computational stability. Finally, by the use of the model, some results for forecasting typhoon track are given |
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