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求解球面Helmholtz型方程的非均匀假谱方法
引用本文:衣育红.求解球面Helmholtz型方程的非均匀假谱方法[J].北京大学学报(自然科学版),1990,26(5):626-632.
作者姓名:衣育红
作者单位:北京大学地球物理学系
摘    要:本文发展了一种数值求解球面Helmholtz型方程的非均匀假谱方法。方法的核心是采用富氏谱展开求解Helmholtz型方程,并且将数值天气预报中的高纬滤波处理与其同时进行,这样不仅避免了球面非均匀网格给Helmholtz方程求解带来的困难,而且还可大大提高运算速度。

关 键 词:球面方程  Helmholtz  数值天气预报

Nonhomogeneous Pseude Spectral Approach Solving the Spherical Helmholtz Equations
YI Yuhong.Nonhomogeneous Pseude Spectral Approach Solving the Spherical Helmholtz Equations[J].Acta Scientiarum Naturalium Universitatis Pekinensis,1990,26(5):626-632.
Authors:YI Yuhong
Institution:Department of Geophysics
Abstract:The nonhomogeneous pseude-spectral approach to solve numerically the spherical Helmholtz equations is developed in this paper. It's key is solving the spherical Helm-holtz equation using Fourier spectral decomposition, along with filtering short waves in high latitude. It not only avoid the difficulty produced by spherical nonhomogeneous mesh but also rise greatly calculting speed.
Keywords:Spherical Helmholtz equation  Nonhomogeneous  Pseude-spectral ap-proach  
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