摘要
发展了一种适合于所有流速的压力修正方法。在考虑了密度的可压缩性后，压力修正方程成为对流扩散型的，从而与一般标量一样使用二阶中心差分离散。整个算法具有二阶精度。进一步使用多步压力修正来增强网格非正交时的收敛性态。在对流项离散中，设计了独特的人工耗散，也同样适用于所有流速。利用本算法求解了全三维Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程组。计算采用了非交错网格方案，使用Ｒｈｉｅ－Ｃｈｏｗ方法消除了速度－压力的不关联。对不可压缩和可压缩流均进行了验证。计算结果与实验进行了比较，证明该算法是有效的。
A pressure correction procedure suitable for all speed is described. Considering the compressibility of density, pressure correction turns to the convection diffusion equation. Using two order central differential and multi step correction, it becomes useful and robust when pressure correction method is applied to compressible flows. The multi step pressure correction improves the convergence of the procedure due to the grid non ortho gonality. The method is applied to solve Navier Stokes equations. For simplicity, non staggered grid is used in the paper. The computational efficiency is demonstrated by the results compared with the experimental data.
出处
《南京航空航天大学学报》
EI
CAS
CSCD
北大核心
1998年第6期599-605,共7页
Journal of Nanjing University of Aeronautics & Astronautics
关键词
计算流体力学
N-S方程
可压缩流体
全流速
computational fluid mechanics
Navier Stokes equations
compressible flow
non staggered grid
