求解球面Helmholtz型方程的非均匀假谱方法

Nonhomogeneous Pseude Spectral Approach Solving the Spherical Helmholtz Equations

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。

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.