Viscous flow past circular cylinders
Viscous flow past circular cylinders
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DOI：
10.1016/0045-7930(73)90026-1
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发表时间：
1973
影响因子：
2.8
通讯作者：
F. Nieuwstadt;H. B. Keller
中科院分区：
文献类型：
--
作者：
F. Nieuwstadt;H. B. Keller
本文给出了雷诺数为1 ~ 40（基于直径）时圆柱绕流的精确而高效的计算方法。用序列截断的半解析方法表示有限傅里叶级数中的流函数和涡量。代入Navier-Stokes方程得到一个有限的非线性常微分方程组。这些用两点边值法近似。用牛顿法求解得到的非线性方程。对数值误差和有限级数近似引起的误差给予了大量的注意。结果与Keller-Takami和Dennis-Chang的类似计算结果进行了比较。协议是好的。在有限半径处应用自由流条件会产生不准确的结果。即时通讯
Accurate and efficient calculation of the flow around a circular cylinder are presented for Reynolds number from 1 to 40 (based on the diameter). The semi-analytical method of series truncation is used to express the stream function and the vorticity in a finite Fourier series. Substitution into the Navier-Stokes equation yields a finite system of nonlinear ordinary differential equations. These are approximated by two-point boundary value methods. The resulting nonlinear equation are solved unsing Newton's method. Much attention has been given to numerical errors and errors resulting from the approximation by a finite series. The results are compared with similar calculations by Keller-Takami and Dennis-Chang. The agreement is good. The application of free stream conditions at a finite radius is shown to yield inaccurate results. im