| 球面正压大气的Legendre函数解及特征波动数值解正确性的验证 |
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| 引用本文： | 张立凤,秦丽. 球面正压大气的Legendre函数解及特征波动数值解正确性的验证[J]. 解放军理工大学学报(自然科学版), 2011, 0(2): 190-194 |
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| 作者姓名： | 张立凤 秦丽 |
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| 作者单位： | 解放军理工大学气象学院; |
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| 基金项目： | 国家自然科学基金资助项目(40975031) |
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| 摘 要： | 正压大气是最简单的大气模型,它可以讨论高空槽脊等天气系统的许多动力学过程.在非均匀基流的情况下,即使对小扰动的线性方程,由于其方程系数非常数,一般情况下也难求出其解析解,只能依靠数值计算得到数值解.但数值解的正确性是需要验证的.在特殊情况下,将球面正压大气方程组化为连带Legendre方程,解析求出该方程的频散关系和特...
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| 关 键 词： | 球面正压大气 连带Legendre方程 解析解 数值解 |
Legendre function solution in spherical barotropic atmosphere and correctnessverification of numerical solution of characteristic wave |
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| ZHANG Li-feng and QIN Li. Legendre function solution in spherical barotropic atmosphere and correctnessverification of numerical solution of characteristic wave[J]. Journal of PLA University of Science and Technology(Natural Science Edition), 2011, 0(2): 190-194 |
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| Authors: | ZHANG Li-feng and QIN Li |
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| Affiliation: | ZHANG Li-feng,QIN Li(Institute of Meteorology,PLA Univ.of Sci.& Tech.,Nanjing 211101,China) |
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| Abstract: | The barotropic atmosphere is a simplified model which can be applied to discussing the dynamic process associated with high trough and ridge.In the case of nonuniform basic flow,the analytical solution of linearized equations with small perturbation is difficult to resolve,which is mainly due to the variable coefficients in the equations.This calls for the calculation and the verification of the numerical solution.Based on a specific case,the equations of the spherical barotropic atmosphere were transformed... |
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| Keywords: | spherical barotropic atmosphere associated Legendre equation the analytical solution the numerical solution |
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