Kriging方法在DBD等离子体模型参数辨识中的应用
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摘要
等离子体模型中或多或少存在经验参数,这些经验参数一般需要通过一些特殊实验结果进行标定。本文从参数辨识的角度出发,通过Kriging近似模型和遗传算法对Shyy等人提出的DBD(Dielectric Barrier Discharge,简称DBD)等离子体模型进行了参数辨识。首先将等离子体作用区轮廓和最大电场强度E_0作为辨识参数,通过不同的目标函数的辨识结果筛选出辨识结果较为准确且稳定的目标函数;利用辨识结果,得出了新的等离子体区域轮廓和电场强度E_0的经验公式,获得更加准确的DBD等离子体唯象模型。并应用于DBD激励器对涡轮叶顶间隙流动控制的数值计算中。
There are certain empirical parameters in the DBD(dielectric barrier discharge) plasma actuators modeling, and these parameters need to be calibrated through some special experimental. In this paper, a parameters identification system for the model proposed by Shyy et al is established via the Kriging model and GA(Genetic Algorithm). The plasma active region profile and the maximum electric field intensity E_0 are chosen to be identified. This paper compares different results calculated by various objective functions in order to select the most accurate and steady function. Finally, new plasma active region outline and the expression of E_0 are rebuilt to acquire a more accurate DBD plasma actuators modeling. Using the new model, the effect of DBD plasma actuator on controlling the tip clearance leakage flow is investigated.
There are certain empirical parameters in the DBD(dielectric barrier discharge) plasma actuators modeling, and these parameters need to be calibrated through some special experimental. In this paper, a parameters identification system for the model proposed by Shyy et al is established via the Kriging model and GA(Genetic Algorithm). The plasma active region profile and the maximum electric field intensity E_0 are chosen to be identified. This paper compares different results calculated by various objective functions in order to select the most accurate and steady function. Finally, new plasma active region outline and the expression of E_0 are rebuilt to acquire a more accurate DBD plasma actuators modeling. Using the new model, the effect of DBD plasma actuator on controlling the tip clearance leakage flow is investigated.
引文
[1]聂万胜,程钰锋,车学科.介质阻挡放电等离子体流动控制研究进展[J].力学进展,2012, 42(06):722-734NIE Wansheng, CHENG Yufeng, CHE Xueke. The Development of Dielectric Barrier Discharge-based Flow Con-trol[J]. Advances in Mechanics, 2012, 42(06):722-734
[2]孙宗祥.等离子体减阻技术的研究进展[J].力学进展,2003,33(1):87-94SUN Zongxiang. The Development of Dielectric Barrier Di-scharge-based Drag Reduction[J]. Advances in Mechanics, 2003, 33(1):87-94.
[3]程钰锋,聂万胜,李国强.等离子体气动激励机理数值研究[J].物理学报,2012, 61(06):95-103CHNEG Yufeng, NIE Wansheng, LI Guoqinag. The Simul-ation of the Mechanism for Induced Flow by Dielectric Barrier Discharge[J]. Acta Phys Sin, 2012, 61(06):95-103
[4] Shyy W, Jayaraman B, Andersson A. Modeling of Glow Di-scharge-induced Fluid Dynamics[J]. Journal of Applied Physics, 2002, 92(11):6434-6443
[5] Suzen Y B, Huang P G, Jacob J D, et al. Numerical Simulati-ons of Plasma Based Flow Control Applications[C]//35th AIAA Fluid Dynamics Conference and Exhibit2005, Toronto, Ontario Canada, 2005:AIAA-2005-4633
[6] Orlov D M, Corke T C. Numerical Simulation of Aerodyna-mic Plasma Actuator Effects[C]//43rd AIAA Aerospace Sciences Meeting and Exhibit 2005, Reno:Nevada, 2005:AIAA-2005-1083
[7] Font G I. Boundary Layer Control with Atmospheric Plasma Discharges[J]. AIAA Journal, 2012, 44(7):1572-1578
[8] Font G, Morgan W. Plasma Discharges in Atmospheric Pre-ssure Oxygen for Boundary Layer Separation Control[C]//35th AIAA Fluid Dynamics Conference and Exhibit2005, Toronto, Ontario Canada, 2005:AIAA-2005-4632
[9] Font G, Jung S, Enloe C, et al. Simulation of the Effects of Force and Heat Produced by a Plasma Actuator on Neutral Flow Evolution[J]. Mathematical Programming,2013, 93(3):477-494
[10] Baughn J W, Porter C, Peterson B L, et al. Momentum Tra-nsfer for an Aerodynamic Plasma Actuator with an Impos-ed Boundary Layer[C]//44th AIAA Aerospace Sciences Meeting and Exhibit 2006, Reno:Nevada, 2006:AIAA-2006-168
[11] Krige D G. A Statistical Approach to Some Mine Valuations and Allied Problems at the Witwatersrand[J].JAMA:the Journal of the American Medical Association,2015,213(9):1496
[12]汪松泉.遗传算法在组合优化中的应用研究[D].合肥,安徽大学,2010WANG Songquan. Applied Research of Genetic Algorithm in Combinatorial Optimization[D]. Hefei:Anhui University, 2010
[13] Forte M, Jolibois J, Pons J, et al. Optimization of a Dielect-ric Barrier Discharge Actuator by Stationary and Non-stationary Measurements of the Induced Flow Velocity:Application to Airflow Control[J]. Experiments in Fluids, 2007, 43(6):917-928
[14] Fu Y F, Chen F, Liu H P, et al. Experimental and Num-erical Study of Honeycomb Tip on Suppressing Tip Leakage Flow in Turbine Cascade[C]//ASME Turbo Expo:Turbo machinery Technical Conference&Exposition, Charlotte, North Carolina, USA, 2017
[2]孙宗祥.等离子体减阻技术的研究进展[J].力学进展,2003,33(1):87-94SUN Zongxiang. The Development of Dielectric Barrier Di-scharge-based Drag Reduction[J]. Advances in Mechanics, 2003, 33(1):87-94.
[3]程钰锋,聂万胜,李国强.等离子体气动激励机理数值研究[J].物理学报,2012, 61(06):95-103CHNEG Yufeng, NIE Wansheng, LI Guoqinag. The Simul-ation of the Mechanism for Induced Flow by Dielectric Barrier Discharge[J]. Acta Phys Sin, 2012, 61(06):95-103
[4] Shyy W, Jayaraman B, Andersson A. Modeling of Glow Di-scharge-induced Fluid Dynamics[J]. Journal of Applied Physics, 2002, 92(11):6434-6443
[5] Suzen Y B, Huang P G, Jacob J D, et al. Numerical Simulati-ons of Plasma Based Flow Control Applications[C]//35th AIAA Fluid Dynamics Conference and Exhibit2005, Toronto, Ontario Canada, 2005:AIAA-2005-4633
[6] Orlov D M, Corke T C. Numerical Simulation of Aerodyna-mic Plasma Actuator Effects[C]//43rd AIAA Aerospace Sciences Meeting and Exhibit 2005, Reno:Nevada, 2005:AIAA-2005-1083
[7] Font G I. Boundary Layer Control with Atmospheric Plasma Discharges[J]. AIAA Journal, 2012, 44(7):1572-1578
[8] Font G, Morgan W. Plasma Discharges in Atmospheric Pre-ssure Oxygen for Boundary Layer Separation Control[C]//35th AIAA Fluid Dynamics Conference and Exhibit2005, Toronto, Ontario Canada, 2005:AIAA-2005-4632
[9] Font G, Jung S, Enloe C, et al. Simulation of the Effects of Force and Heat Produced by a Plasma Actuator on Neutral Flow Evolution[J]. Mathematical Programming,2013, 93(3):477-494
[10] Baughn J W, Porter C, Peterson B L, et al. Momentum Tra-nsfer for an Aerodynamic Plasma Actuator with an Impos-ed Boundary Layer[C]//44th AIAA Aerospace Sciences Meeting and Exhibit 2006, Reno:Nevada, 2006:AIAA-2006-168
[11] Krige D G. A Statistical Approach to Some Mine Valuations and Allied Problems at the Witwatersrand[J].JAMA:the Journal of the American Medical Association,2015,213(9):1496
[12]汪松泉.遗传算法在组合优化中的应用研究[D].合肥,安徽大学,2010WANG Songquan. Applied Research of Genetic Algorithm in Combinatorial Optimization[D]. Hefei:Anhui University, 2010
[13] Forte M, Jolibois J, Pons J, et al. Optimization of a Dielect-ric Barrier Discharge Actuator by Stationary and Non-stationary Measurements of the Induced Flow Velocity:Application to Airflow Control[J]. Experiments in Fluids, 2007, 43(6):917-928
[14] Fu Y F, Chen F, Liu H P, et al. Experimental and Num-erical Study of Honeycomb Tip on Suppressing Tip Leakage Flow in Turbine Cascade[C]//ASME Turbo Expo:Turbo machinery Technical Conference&Exposition, Charlotte, North Carolina, USA, 2017