应用加权无波动无自由参数耗散差分格式求解平板振荡叶栅流场  

The Application of Weighted Non-oscillatory and Non-free-parameter Dissipation Difference Scheme in Calculating the Flow of an Oscillating Flat Cascade

作　　者：肖军[1] 谷传纲[1] 戴正元[1] 王彤[1] 

机构地区：[1]上海交通大学动力机械及工程教育部重点实验室,上海200240

出　　处：《上海交通大学学报》2006年第12期2147-2150,2154,共5页Journal of Shanghai Jiaotong University

摘　　要：引入双时间方法,计算了某三维平板振荡叶栅的非定常流场.在虚拟时间步上用LU-SGS隐式方法做时间推进,对流项采用空间三阶的加权无波动无自由参数耗散差分(WNND)格式离散.湍流模型采用低雷诺数q-ω模型.计算得到了叶栅不同叶高处的升力系数频谱、非定常压差系数以及叶尖处不同振动时刻的熵等值线.对3个叶高处的升力系数频谱分析表明,流场存在显著的振动诱发的非线性扰动,其频率高于升力系数基频.叶尖处不同振动时刻的熵等值线图显示了大振幅下流场强烈的非定常属性.A dual-time method was introduced to calculate the unsteady flow in a certain oscillating flat cascade. An implicit LU-SGS scheme was applied for time stepping in pseudo time domains, and the convection items were discretized with the spatial three-order and weighted non-oscillatory and non-freeparameter dissipation difference （WNND） scheme. The turbulence model adopts q- ω low-Reynolds-number model. The frequency spectrums of lift coefficients and the unsteady pressure difference coefficients at different spanwise heights as well as the entropy contours at blade tips on different oscillating instants were obtained. By the analysis of frequency spectrums of lift coefficients at three spanwise heights, it is considered that there exist obvious non-linear perturbations in the flow induced by the oscillation, and the perturbation frequencies are higher than the basic frequency. The entropy contours of blade tips at different times display an intensively unsteady attribute of the flow under large amplitudes.

关 键 词：振荡叶栅 加权无波动无自由参数耗散差分格式 升力系数频谱 非定常压差系数 

分 类 号：V231.3[航空宇航科学与技术—航空宇航推进理论与工程]