一、导言在计算流体动力学的某些领域,谱方法已经成为进行大尺度计算的主要的数值方法。对于均匀紊流的直接模拟、剪力流过渡的计算和地球气候的模拟等三维应用问题,当然也是如此。对于热输运、边界层、反应流、可压缩流和磁流体动力学等应用问题,谱方法已被证明可以替代传统的有限差分和有限元技术。 I. INTRODUCTION In some areas of computational fluid dynamics, spectral methods have become the main numerical method for large scale computations. Of course, the direct application of uniform turbulence, the calculation of shear flow transition and the simulation of the Earth’s climate and other three-dimensional applications, of course, is also true. For heat transport, boundary layer, reaction flow, compressible flow and magnetohydrodynamics, spectral methods have been proved to be an alternative to traditional finite difference and finite element methods.