基于高精度算法的结冰翼型分离流动数值模拟

doi:10.7527/S1000-6893.2023.29291

Abstract

Abstract:

Computational Fluid Dynamics （CFD） is now widely used in aeronautics and astronautics as a crucial method of aircraft icing research. There exists deficiency in simulation accuracy and details capturing in the field of flow field structure or flow mechanism after icing and the change of aerodynamic characteristics. In this paper， numerical simulations of separated flow around three iced airfoils are conducted by using the SSG/LRR-g turbulence model equipped with the high-order discretization method WCNS， and compare with lower order accuracy schemes and different turbulence models. It is found that using the same turbulence model， the drag and pitching moment coefficient predicted by the WCNS are in better agreement with the experimental data than those predicted by the lower order scheme， and the error of the maximum lift coefficient predicted reduced. In addition， using the same accuracy scheme， pressure coefficient distribution at the surface， and the re-attached point of the separation bubble obtained by the current work are comparable to those of the experiment.

Key words: high-order schemes, Reynolds stress model, separation flow, iced airfoil, aerodynamics performence

CLC Number:

V211.7

Li NONG, Zishuai SHENG, Jun XIAN, Huaibao ZHANG. Numerical simulation of separated flow around iced airfoil based on high⁃order schemes[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(S2): 729291-729291.

Figures/Tables 12

Fig.1

Fig.2

Fig.3

Fig.4

Fig. 5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

References 23

1	BRAGG M B， BROEREN A P， BLUMENTHAL L A. Iced-airfoil aerodynamics［J］. Progress in Aerospace Sciences， 2005， 41（5）： 323-362.
2	STEBBINS S J， LOTH E， BROEREN A P， et al. Review of computational methods for aerodynamic analysis of iced lifting surfaces［J］. Progress in Aerospace Sciences， 2019， 111： 100583.
3	SAAD T. Turbulence modeling for beginners［EB/OL］. （2017-06-24）［2023-04-12］. .
4	SPALART P， ALLMARAS S. A one-equation turbulence model for aerodynamic flows［C］∥ Proceedings of the 30th Aerospace Sciences Meeting and Exhibit. Reston： AIAA， 1992.
5	WILCOX D C. Reassessment of the scale-determining equation for advanced turbulence models［J］. AIAA Journal， 1988， 26（11）： 1299-1310.
6	JONES W P， LAUNDER B E. The prediction of laminarization with a two-equation model of turbulence［J］. International Journal of Heat and Mass Transfer， 1972， 15（2）： 301-314.
7	郎需巍，刘星. 数值模拟积冰翼型及气动特性分析［J］. 航空计算技术， 2015， 45（5）： 82-85.
	LANG X W， LIU X. Numerical simulation of icing airfoil and analysis of aerodynamic characteristics［J］. Aeronautical Computing Technique， 2015， 45（5）： 82-85 （in Chinese）.
8	赵宾宾，黎先平，李杰，等. 前缘角冰几何参数对翼型失速特性的影响分析研究［J］. 西北工业大学学报， 2023， 41（1）： 39-46.
	ZHAO B B， LI X P， LI J， et al. Influence of geometric parameters of leading edge horn-ice on stall characteristics of airfoil［J］. Journal of Northwestern Polytechnical University， 2023， 41（1）： 39-46 （in Chinese）.
9	陈科，曹义华，安克文，等. 应用混合网格分析复杂积冰翼型气动性能［J］. 航空学报， 2007， 28（）： 87-91.
	CHEN K， CAO Y H， AN K W， et al. Application of hybrid grid to analyzing complex iced airfoil aerodynamic performance［J］. Acta Aeronautica et Astronautica Sinica， 2007， 28（Sup 1）： 87-91 （in Chinese）.
10	张恒，李杰，龚志斌. 多段翼型缝翼前缘结冰大迎角分离流动数值模拟［J］. 航空学报， 2017， 38（2）： 520746.
	ZHANG H， LI J， GONG Z B. Numerical simulation of separated flow around a multi-element airfoil at high angle of attack with iced slat［J］. Acta Aeronautica et Astronautica Sinica， 2017， 38（2）： 520746 （in Chinese）.
11	LI H R， ZHANG Y F， CHEN H X. Numerical simulation of iced wing using separating shear layer fixed turbulence models［J］. AIAA Journal， 2021， 59（9）： 3667-3681.
12	LI H R， ZHANG Y F， CHEN H X. Aerodynamic prediction of iced airfoils based on modified three-equation turbulence model［J］. AIAA Journal， 2020， 58（9）： 3863-3876.
13	CHOU P Y. On velocity correlations and the solutions of the equations of turbulent fluctuation［J］. Quarterly of Applied Mathematics， 1945， 3（1）： 38-54.
14	CÉCORA R D， EISFELD B， PROBST A， et al. Differential Reynolds stress modeling for aeronautics： AIAA-2012-0563［R］. Reston： AIAA， 2012.
15	TOGITI V K， EISFELD B. Assessment of g-equation formulation for a second-moment Reynolds stress turbulence model （invited）［C］∥ Proceedings of the 22nd AIAA Computational Fluid Dynamics Conference. Reston： AIAA， 2015.
16	EISFELD B， RUMSEY C， TOGITI V. Verification and validation of a second-moment-closure model［J］. AIAA Journal， 2016， 54（5）： 1524-1541.
17	DENG X G， ZHANG H X. Developing high-order weighted compact nonlinear schemes［J］. Journal of Computational Physics， 2000， 165（1）： 22-44.
18	DENG X G， MAO M L， TU G H， et al. Geometric conservation law and applications to high-order finite difference schemes with stationary grids［J］. Journal of Computational Physics， 2011， 230（4）： 1100-1115.
19	WANG S， DENG X G， WANG G X， et al. Blending the eddy-viscosity and Reynolds-stress models using uniform high-order discretization［J］. AIAA Journal， 2020， 58（12）： 5361-5378.
20	RUMSEY C. Turbulence modeling resource［EB/OL］. （2022-03-01）［2023-04-12］. .
21	GURBACKI H M. Ice-induced unsteady flowfield effects on airfoil performance［D］. Washington， D.C.： NASA， 2003.
22	ADDY H， BROEREN A， ZOECKLER J， et al. A wind tunnel study of icing effects on a business jet airfoil［C］∥ Proceedings of the 41st Aerospace Sciences Meeting and Exhibit. Reston： AIAA， 2003.
23	Computational Aerodynamics Institute of China Aerodynamics Research and Development Center. Verification and validation calibration model database. 1.0［R］. National Space Science Data Center. 2022.

[1]	Yatian ZHAO, Zhiyuan SHAO, Chao YAN, Xinghao XIANG. Comparative analysis of Reynolds stress and eddy viscosity models in separation flow prediction [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(11): 127619-127619.
[2]	Heng ZHANG, Jie LI, Binbin ZHAO. Improvement mechanism of ice-tolerance capacity for iced airfoil with variable camber of drooping leading edge [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(1): 627114-627114.
[3]	Binbin ZHAO, Heng ZHANG, Jie LI. Review of numerical simulation on complex separated flow of iced airfoil [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(1): 627211-627211.
[4]	SHU Bowen, DU Yiming, GAO Zhenghong, XIA Lu, CHEN Shusheng. Numerical simulation of Reynolds stress model of typical aerospace separated flow [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(11): 526385-526385.
[5]	WEI Ziyan, LI Jie, ZHANG Heng, YANG Zhao. Improved aerodynamic design of laminar wing section of laminar verifying aircraft [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(11): 526760-526760.
[6]	ZHANG Heng, LI Jie, GONG Zhibin. Numerical simulation of separated flow around a multi-element airfoil at high angle of attack with iced slat [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(2): 520733-520746.
[7]	XU Xiao, YUE Lianjie, LU Hongbo, XIAO Yabin, ZHANG Xinyu. Flow characteristics of hypersonic inlet starting with diaphragm rupture [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(6): 1795-1804.
[8]	TU Guohua, YAN Zhenguo, ZHAO Xiaohui, MA Yankai, MAO Meiliang. SA and SST turbulence models for hypersonic forced boundary layer transition [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(5): 1471-1479.
[9]	CUI Yu-feng;XU Gang;HUANG Wei-guang. Numerical Simulation on Supersonic Combustion over a Reward Facing Step with Transverse Hydrogen and Air Injection [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2004, 25(2): 113-116.
[10]	Xiao Po;Li Yuchun;Xu Liping. A METHOD FOR MEASURING UNSTEADY SEPARATION TURBULKNT FLOW USING SPLIT-FILM [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1994, 15(12): 1438-1444.
[11]	Lu Xi-yun;Zhuang Li-xian;Yin Xie-yuan;Tong Bing-gang. NUMERICAL SIMULATION OF FLOWS PAST A LONGITUDINALLY OSCILLATING AIRFOIL AT HIGH INCIDENCES [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1993, 14(11): 632-635.
[12]	Li Feng;Wang Yi-yun;Cui Er-jie. AERODYNAMIC INVESTIGATION ON INTERACTION OF VORTEX WITH STATIONARY AIRFOIL [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1993, 14(11): 625-628.
[13]	Zhou Wei-jiang;Ma Han-dong;Ma Yan-wen. NUMERICAL STUDY OF SUPERSONIC FLOW OVER A BACKWARD STEP WITH TRANSVERSE INJECTION [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1993, 14(1): 14-19.
[14]	Xu Cheng;Zhang Shi-ying;Zhou Ming-de. A PRELIMINARY INVESTIGATION OF THE CONTROL OF SEPARATED FLOW BY MEANS OF EXCITATION [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1993, 14(1): 72-75.
[15]	Lu Xi-yun;Yin Xie-yuan;Zhuang Li-xian. NUMERICAL SIMULATION OF FLOWS AROUND OSCILLATING AIRFOIL AT LARGE INCIDENCES [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1992, 13(11): 571-576.

Numerical simulation of separated flow around iced airfoil based on high⁃order schemes

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 12

References 23

Related Articles 15

Recommended Articles

Metrics

Comments