张胤1,2
（1 .内蒙古科技大学，内蒙古自治区白云鄂博矿多金属资源综合利用重点实验室:省部共建国家重点实验室培养基地，包头，014010；2 .内蒙古科技大学稀土学院，包头014010）
中图分类号：0357.5TK223.21文献标识码：A
摘要：
本文针对三维柱坐标系下流场计算的问题，对于所涉及的各种物理量详细给出了具体的差分过程，特别是关于网格划分过程中出现的弧度变成弧长时候的半径问题，进行了详细的讨论。在速度场三个方向动量方程的差分过程中，考虑到采用交错网格，对于各方程对应的网格处理，分别进行了对应的介绍。最后给出了所有方程所对应的差分方程的推导过程。
关键词：三维圆柱坐标系，流场计算，差分方程
The Establishment of Difference Equations for the Calculation
of Fluid Field in Three-Dimensional Cylindrical Coordinates
Zhang Yin1,2
(1-Inner Mongolia Key Laboratory for Utilization of Bayan Obo Multi-Metallic Resources: Elected State Key Laboratory，Inner Mongolia University of Science and Technology, Baotou 014010, PRC;
2-School of Rare Earth, Inner Mongolia University of Science and Technology , Baotou, 014010 China)
Abstract: Aiming at the problems of fluid field calculation, the specific processes of difference were given in detail for the various physical quantities concerned in the calculation. The radius problem appeared during the change of radian into arch length in the process of mesh generation was especially discussed in great length.The mesh processing of every equation was introduced in the difference process of the three momentum equations on three directions in the velocity field based on the staggered mesh system, and then the derivation processes were presented for the difference equations corresponding to all equations.
Keywords: Three-Dimensional Cylindrical Coordinates, the Calculation of Fluid Field, Difference Equations