摘要
运用张量分析理论，比较简捷地导出了三维任意曲线坐标系上椭圆型Ｎ－Ｓ方程的通用形式。在对这些方程进行数值离散时，采用了有限控制体积的非交错网格设置，该算法以ＳＩＭＰＬＥ为基础，为了抑制压力振荡场的出现，在压力修正方程中对压力梯度的离散附加一项１—δｘ的差分。作为算例，本文给出了三维９０°强曲率弯曲管道中气流的不可压缩紊流状态的数值计算结果，并与相关的实验数据进行了对比，结果是满意的。
In this paper, the general form of N-S equations in 3-D curvilinear coordinate system are directly deduced by using the tensor analysis. These discrete equations are solved with nonstaggered finite control volume on the basis of SIMPLE algorithm. To eliminate the pressure oscillation, a term representing 1-δx difference is added to the pressure gradient in the pressure correction equation. As an example, the results of 3-D turbulent incompressible flow in 90° curved duct with strong curvature are presented. A comparison between numerical and related experimental results is made, and the agreement is satisfactory.
出处
《南京航空航天大学学报》
CAS
CSCD
1994年第4期471-476,共6页
Journal of Nanjing University of Aeronautics & Astronautics
关键词
数值计算
弯曲管道
航空
N-S方程
Navier-Stokes equations
numerical calculation
curvilinear coordinate
curved duct
nonstaggered grid
finite difference method
