不同参数对翼型动态失速流场影响的DMD分析
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摘要
基于对CFD计算结果的动力模态分解(dynamic mode decomposition,DMD)方法来分析平均攻角、振荡幅度和折合频率对翼型动态失速流场的影响。首先对风力机S809翼型的多个动态失速非定常流场进行CFD数值模拟,得到翼型在振荡周期内升阻力系数随攻角的变化曲线,然后采用动力模态分解方法对非定常流场进行模态分析,从中得到非定常流场变化过程的主要模态和相应的频率以及能量等信息。通过对前8阶主要模态所包含的流场信息进行对比分析,DMD速非定常流场之间的差别。
Aiming at analyzing the influence of average angle of attack,oscillating amplitude and reduction frequency on flow field around airfoil under dynamic stall condition based on CFD calculating results. At first,the unsteady flow fields of an oscillating airfoil are calculated by CFD method under different dynamic stall conditions,through which,we can obtain lift and drag coefficients closed-loop curve under the pitch change. Then the dominant modes and corresponding frequencies are extracted from the CFD results by DMD(dynamic mode decomposition)method. By comparing eight dominant modes with one another,it is found that the DMD method captures the coherent structures with different scales in complex flow field successfully,and obviously reflects the differences between different dynamic stall flows after changing every parameter.
Aiming at analyzing the influence of average angle of attack,oscillating amplitude and reduction frequency on flow field around airfoil under dynamic stall condition based on CFD calculating results. At first,the unsteady flow fields of an oscillating airfoil are calculated by CFD method under different dynamic stall conditions,through which,we can obtain lift and drag coefficients closed-loop curve under the pitch change. Then the dominant modes and corresponding frequencies are extracted from the CFD results by DMD(dynamic mode decomposition)method. By comparing eight dominant modes with one another,it is found that the DMD method captures the coherent structures with different scales in complex flow field successfully,and obviously reflects the differences between different dynamic stall flows after changing every parameter.
引文
[1]满洪海,杜刚,陈江.风力机翼型动态失速数值模拟[J].太阳能学报,2012,33(10):521-526.[1]Man Hongjiang,Du Gang,Chen Jiang.Investigation of dynamic stall of wind turbine airfoil[J].Acta Energiae Solaris Sinica,2012,33(10):521-526.
[2]Bj?rck A,Thor S-E.Dynamic stall and 3D effects[A].Proceeding of Europe Union Wind Energy Conference[C],Paris,1996.
[3]钱炜祺,符松,蔡金狮.翼型动态失速的数值模拟研究[J].空气动力学报,2001,19(4):427-432.[3]Qian Weiqi,Fu Song,Cai Jinshi.Numerical study of airfoil dynamic stall[J].Acta Aerodynamica Sinica,2001,19(4):427-432.
[4]汤瑞源,华宪明,吴永健.振荡翼型动态失速风洞试验研究[J].南京航空学院学报,1992,(5):506-512.[4]Tang Ruiyuan,Hua Xianming,Wu Yongjian.Experimental study of dynamic stall on an oscillating airfoil[J].Journal of Nanjing Aeronautical Institute,1992,(5):506-512.
[5]Petot D.Differential equation modeling of dynamic stall[M].La Recherche Aerospatible(English Edition),(ISSN 0379-380X),1989.
[6]袁尚科,李仁年,赵子琴.基于非结构动网格的风力机翼型失速特性研究[J].太阳能学报,2014,35(11):2264-2270.[6]Yuan Shangke,Li Rennian,Zhao Ziqin.Study on stall of wind turbine airfoil based on unstructured dynamic mesh[J].Acta Energiae Solaris Sinica,2014,35(11):2264-2270.
[7]Dindar M,Kaynak U.Effect of turbulence modeling on dynamic stall of a NACA0012 airfoil[R].AI-AA-92-0027,1992.
[8]陈旭,郝辉,田杰.水平轴风力机翼型动态失速特性的数值研究[J].太阳能学报,2003,24(6):735-740.[8]Chen Xu,Hao Hui,Tian Jie.Investigation on airfoil dynamic stall of horizontal axis wind turbine[J].Acta Energiae Solaris Sinica,2003,24(6):735-740.
[9]Schmid P J.Dynamic mode decomposition of numerical and experimental data[J].Journal of Fluid Mechanics,2008,656(10):5-28.
[10]Schmid P J.Application of the dynamic mode decomposition to experimental data[J].Experiments in Fluids,2011,50(4):1123-1130.
[11]张宾,唐湛棋,孙姣,等.旋转圆柱绕流的动力模态分析[J].河北工业大学学报,2015,44(4):62-65.[11]Zhang Bin,Tang Zhanqi,Sun Jiao,et al.Dynamic mode decomposition of flow around rotating cylinder[J].Journal of Hebei University of Technology,2015,44(4):62-65.
[12]Dunne R,McKeon B J.Dynamic stall on a pitching and surging airfoil[J].Experiments in Fluids,2015,56(8):1-15.
[13]潘翀,陈皇,王晋军,等.复杂流场的动力学模态分解[A].中国力学学会[C],广州,2010:77-82.[13]Pan Chong,Chen Huang,Wang Jinjun,et al.Dynamic mode decomposition of complex flow field[A].Chinese Society of Theoretical and Applied Mechanics[C],Guangzhou,2010:77-82.
[14]刘鹏寅,陈进格,沈昕,等.深度动态失速流场的DMD分析[J].太阳能学报,2018,39(9):2477-2485.[14]Liu Pengyin,Chen Jinge,Shen Xin,et al.DMDanalysis of flow field under deep dynamic stall condition[J].Acta Energiae Solaris Sinica,2018,39(9):2477-2485.
[15]俞国华.水平轴风力机叶片失速问题研究[D].上海:上海交通大学,2013.[15]Yu Guohua.A study of stall problems on horizontal axis wind turbine blades[D].Shanghai:Shanghai Jiao Tong University,2013.
[2]Bj?rck A,Thor S-E.Dynamic stall and 3D effects[A].Proceeding of Europe Union Wind Energy Conference[C],Paris,1996.
[3]钱炜祺,符松,蔡金狮.翼型动态失速的数值模拟研究[J].空气动力学报,2001,19(4):427-432.[3]Qian Weiqi,Fu Song,Cai Jinshi.Numerical study of airfoil dynamic stall[J].Acta Aerodynamica Sinica,2001,19(4):427-432.
[4]汤瑞源,华宪明,吴永健.振荡翼型动态失速风洞试验研究[J].南京航空学院学报,1992,(5):506-512.[4]Tang Ruiyuan,Hua Xianming,Wu Yongjian.Experimental study of dynamic stall on an oscillating airfoil[J].Journal of Nanjing Aeronautical Institute,1992,(5):506-512.
[5]Petot D.Differential equation modeling of dynamic stall[M].La Recherche Aerospatible(English Edition),(ISSN 0379-380X),1989.
[6]袁尚科,李仁年,赵子琴.基于非结构动网格的风力机翼型失速特性研究[J].太阳能学报,2014,35(11):2264-2270.[6]Yuan Shangke,Li Rennian,Zhao Ziqin.Study on stall of wind turbine airfoil based on unstructured dynamic mesh[J].Acta Energiae Solaris Sinica,2014,35(11):2264-2270.
[7]Dindar M,Kaynak U.Effect of turbulence modeling on dynamic stall of a NACA0012 airfoil[R].AI-AA-92-0027,1992.
[8]陈旭,郝辉,田杰.水平轴风力机翼型动态失速特性的数值研究[J].太阳能学报,2003,24(6):735-740.[8]Chen Xu,Hao Hui,Tian Jie.Investigation on airfoil dynamic stall of horizontal axis wind turbine[J].Acta Energiae Solaris Sinica,2003,24(6):735-740.
[9]Schmid P J.Dynamic mode decomposition of numerical and experimental data[J].Journal of Fluid Mechanics,2008,656(10):5-28.
[10]Schmid P J.Application of the dynamic mode decomposition to experimental data[J].Experiments in Fluids,2011,50(4):1123-1130.
[11]张宾,唐湛棋,孙姣,等.旋转圆柱绕流的动力模态分析[J].河北工业大学学报,2015,44(4):62-65.[11]Zhang Bin,Tang Zhanqi,Sun Jiao,et al.Dynamic mode decomposition of flow around rotating cylinder[J].Journal of Hebei University of Technology,2015,44(4):62-65.
[12]Dunne R,McKeon B J.Dynamic stall on a pitching and surging airfoil[J].Experiments in Fluids,2015,56(8):1-15.
[13]潘翀,陈皇,王晋军,等.复杂流场的动力学模态分解[A].中国力学学会[C],广州,2010:77-82.[13]Pan Chong,Chen Huang,Wang Jinjun,et al.Dynamic mode decomposition of complex flow field[A].Chinese Society of Theoretical and Applied Mechanics[C],Guangzhou,2010:77-82.
[14]刘鹏寅,陈进格,沈昕,等.深度动态失速流场的DMD分析[J].太阳能学报,2018,39(9):2477-2485.[14]Liu Pengyin,Chen Jinge,Shen Xin,et al.DMDanalysis of flow field under deep dynamic stall condition[J].Acta Energiae Solaris Sinica,2018,39(9):2477-2485.
[15]俞国华.水平轴风力机叶片失速问题研究[D].上海:上海交通大学,2013.[15]Yu Guohua.A study of stall problems on horizontal axis wind turbine blades[D].Shanghai:Shanghai Jiao Tong University,2013.