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用Newton子迭代方法计算前飞旋翼粘性绕流
引用本文:杨爱明,乔志德,翁培奋.用Newton子迭代方法计算前飞旋翼粘性绕流[J].空气动力学学报,2002,20(1):57-63.
作者姓名:杨爱明  乔志德  翁培奋
作者单位:1. 上海市应用数学和力学所,上海,200072
2. 西北工业大学翼型研究中心,陕西西安,710072
摘    要:通过求解Navier-Stokes方程数值模拟了直升机旋翼前飞非定常流场,为了同时保证计算的时间精确性和计算效率,时间推进格式采用了双时间推进方法,在该方法中,子迭代过程由十分高效的LU-SSOR方法完成,且使子迭代过程成为Newton子迭代,空间上应用中心平均的有限体积法进行离散,为了模拟前飞桨时间的相对运动,网格布局采用了运动嵌套网格方法,应用本文方法对-悬停流场进行了数值计算,计算结果与实验吻合较好,尽管缺乏实验数据的验证,对-有升力前飞状态的数值模拟结果是可信的。

关 键 词:直升机旋翼  Navier-Stokes方程  Newton子迭代  有限体积法  运动嵌套网格  前飞非定常流场  计算
文章编号:0258-1825(2002)01-0057-07
修稿时间:2001年4月11日

Numerical simulation of the viscous flow past a helicopter rotor in forward flight using newton-like sub-iterations
Yang Ai ming ,Qiao Zhi de ,Weng Pei fen.Numerical simulation of the viscous flow past a helicopter rotor in forward flight using newton-like sub-iterations[J].Acta Aerodynamica Sinica,2002,20(1):57-63.
Authors:Yang Ai ming  Qiao Zhi de  Weng Pei fen
Institution:Yang Ai ming 1,Qiao Zhi de 2,Weng Pei fen 1
Abstract:A new implicit numerical method has been developed to simulate the viscous flow past a helicopter rotor in forward flight by solving Navier Stokes equations. In order to gain both time accuracy and computational efficiency, a fully implicit method (dual time stepping method) has been developed, in which Newton like sub iterations based on LU SSOR scheme are included. The cell centered finite volume method is used as the spatial discretization method. The moving overset grid method is employed to account the relative motion among the blades which are rotating, cyclic pitching and cyclic flapping. To build the connection among the overset grids quickly, a highly automatic and very efficient method based on Hole Map and Inverse Map is implemented. Comparison of the numerical results for a lifting hovering case shows good agreement with the experimental data. Although lacking experimental verification, the numerical result of the lifting forward flight case is reliable.
Keywords:helicopter rotor  forward flight  Newton sub  iterations  Navier  Stokes equations  moving overset grids  finite volume method
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