A spectral collocation method for the Navier-Stokes equations
A spectral collocation method for the Navier-Stokes equations
复制标题
纳维-斯托克斯方程的谱配置方法
DOI：
10.1016/0021-9991(85)90061-0
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发表时间：
1985
影响因子：
4.1
通讯作者：
M. Hussaini
中科院分区：
文献类型：
--
作者：
M. Malik;T. Zang;M. Hussaini
给出了求解不可压缩Navier-Stokes方程的Fourier-Chebyshev谱方法。它适用于各种问题，包括一些流体性质在法向和时间上都有很大变化的问题。在这个全谱算法中，一个预条件迭代技术被用于求解由压力、平均平流和垂直扩散项的半隐式处理引起的隐式方程。将该算法应用于具有恒定粘度和变粘度的通道流和外边界层的水动力稳定性问题。
A Fourier-Chebyshev spectral method for the incompressible Navier-Stokes equations is described. It is applicable to a variety of problems including some with fluid properties which vary strongly both in the normal direction and in time. In this fully spectral algorithm, a preconditioned iterative technique is used for solving the implicit equations arising from semi-implicit treatment of pressure, mean advection, and vertical diffusion terms. The algorithm is tested by applying it to hydrodynamic stability problems in channel flow and in external boundary layers with both constant and variable viscosity.