用有限差分法解层流问题的新型计算方法

A New Computational Method for Incompressible Navier-Stokes Equations Using Finite-Difference

本文介绍了一种新型的有限差分方法求解层流问题的计算方法，本方法采用时间和空间的中心差分格式，并且与数值随体坐标转换相结合，在非错位网格上来解纳维－斯托克斯方程。经过对ＤｒｉｖｅｎＣａｖｉｔｙ这一标准问题的求解后，与有关文献报道的数据比较，以及经实际的试验观察发现，该计算方法稳定准确，结果可靠。

A new method of computational fluid dynamics based on finite-difference is introduced. Second order time and space central finite-differencing,associated with numerical grid generation are used in the new method on a non-staggered curvilinear grid system to solve the problems which are governed by NavierStokes Equations. The computational results on the standard problem of driven cavity are compared with both the experimental observations and with that of the literature. It is found that this method is stable and the results are accurate and reliable.