数值求解可压缩N—S方程的增量迭代法

本文在Beam-Warming格式的基础上,引入通量分裂的概念,应用行高斯迭代技术提出了一个二阶隐式的求解BFC坐标变换下的N-S方程的增量迭代法。它消除了因式分解带来的寄生误差,合理地处理了控制方程中的粘性项,具有较好的收敛性和稳定性。二维Poissuill流动和Couette流动的计算结果和精确解吻合良好。S形进气道的数值解反映出的现象和实验结果是一致的。

A NUMERICAL METHOD FOR SOLVING COMPRESSIBLE NAVIER-STOKES EQUATIONS BY THE INCREMENT LINE-SEIDEL TECHNIQUE

Based on the Beam-Warming scheme, the flux-splitting method and the block-line-Gauss-Seidel technique, an implicit finite difference method with the second-order accuracy is developed for the numerical solutions of the compressible Navier-Stokes equations in a general curvilinear coordinate system. The algorithm can remldy the errors caused by the approximate factorization and deal with the viscous terms reasonably. The computational results of the Poissuill flow and the Couette flow are in a good agreement with analysis solutions and the comparison between experimental results and the numerical solutions of the internal flow in a S-shaped duct is satisfactory.