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振荡叶栅粘性非定常绕流计算的双时间法

Application of Dual-Time Stepping Method to Calculating Unsteady Viscous Flow around Oscillating Cascade

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【作者】 胡运聪周新海

【Author】 Hu Yuncong, Zhou Xinhai (Department of Aeroengine and Thermal Engineering, Northwestern Polytechnical University, Xi′an 710072)

【机构】 西北工业大学航空动力与热力工程系西北工业大学航空动力与热力工程系 陕西西安710072陕西西安710072

【摘要】 通过求解雷诺平均 Navier- Stokes方程 ,借助运动网格技术 ,进行了二维振荡叶栅粘性绕流的数值模拟。成功地引入了双时间方法来处理这种振动物体的非定常流动问题 ,在确保时间 /空间精度的前提下 ,大大加速了计算过程。在双时间法的虚拟时域推进中 ,采用了高效的多重网格技术 ,使得双时间法的优势得以充分发挥。所给出的几种二维振荡叶栅非定常绕流的算例 ,其计算结果与已发表的数据吻合程度良好

【Abstract】 Aeroengine blades fracture from time to time under flutter or forced vibration. The calculation of unsteady viscous flow around oscillating cascade has been useful in predicting the behavior of aeroengine blades under flutter or forced vibration, but such computations are very burdensome. We now purpose to reduce greatly the amount of computation by applying Jameson’s dual time stepping method to such computations. We used a second order accuracy finite volume method for spatial discretization and the four stage Runge Kutta scheme for time marching. Jameson’s dual time stepping method allows the conversion of an unsteady flow problem in real time region into a steady flow problem in pseudo time region, thus permitting the mature tools in accelerating computation in steady flow problems--multigrid, local time step and implicit residual smoothing--to be used in calculating unsteady viscous flow around oscillating cascade. We give two numerical examples. The computed results given in Figs.3 through 6 are in good agreement with published data. Tables 1 and 2 show preliminarily that the amount of computation can be reduced by 85%~90%.

  • 【文献出处】 西北工业大学学报 ,Journal of Northwestern Polytechnical University , 编辑部邮箱 ,2003年03期
  • 【分类号】V211.18
  • 【被引频次】5
  • 【下载频次】130
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