ZHANG Yang, HAN Zhonghua, ZHOU Zheng, et al. Aerodynamic design optimization of wide-Mach-number-range airfoils for hypersonic vehicles[J]. 2021, 39(6): 111-127.
Wide-Mach-number-range aerodynamic design is one of the bottlenecks in the development of horizontal take-off and landing hypersonic vehicles which experience subsonic
transonic
supersonic
and hypersonic regimes during their flights. However
optimized airfoil profiles for different speed regimes are often contradictory
which presents a great challenge to obtain satisfactory wide-Mach-number-range aerodynamic performance by a single configuration. Consequently
this article is aimed at the design of wide-Mach-number-range airfoils via an efficient global aerodynamic optimization design method based on surrogate models. First
a new wide-Mach-number-range airfoil is designed by taking both the hypersonic and transonic aerodynamic performance into account. The thickness of the optimal airfoil is 4%
and its lower surface features a double-"S" shape. Flow-field analyses indicate that the optimal airfoil compromises aerodynamic performance over a wide speed range
which has not been observed before. Second
a multi-objective optimization design of airfoils is further carried out
and a Pareto front of the lift-to-drag ratios from the transonic to hypersonic states is obtained. By analyzing the optimal results
the design principle of airfoils that compromises transonic and hypersonic aerodynamic performance is explained. Finally
the multi-objective optimization design of airfoils for three-dimensional wings is carried out. It is shown that the optimized airfoil for three-dimensional configurations has geometric characteristics similar to those obtained by two-dimensional optimization design
indicating that the flow mechanism around airfoils with small chambers and double-"S" lower surfaces also applies to three-dimensional situations and that the airfoil design is still of significance for wide-Mach-number-range hypersonic vehicles.
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references
LI X K, WANG X, LIU J, et al. Research on the aerodynamic layout design for the horizontal take-off and landing hypersonic aircraft[J]. Aeronautical Science Technology, 2020, 31(11): 7-13. (in Chinese)
BERTIN J J, CUMMINGS R M. Fifty years of hypersonics: where we've been, where we're going[J]. Progress in Aerospace Sciences, 2003, 39(6-7): 511-536. DOI:10.1016/s0376-0421(03)00079-4
SZIROCZAK D, SMITH H. A review of design issues specific to hypersonic flight vehicles[J]. Progress in Aerospace Sciences, 2016, 84: 1-28. DOI:10.1016/j.paerosci.2016.04.001
LI S B. Design and optimization of aerodynamic configuration for the novel-concept vehicle with the wide-range Mach numbers[D]. Changsha: National University of Defense Technology, 2012 (in Chinese).
LIU C Z, LIU Q, BAI P, et al. Aerodynamic shape design integrating vortex and shock effects for width-velocity-range[J]. Acta Aeronautica et Astronautica Sinica, 2018, 39(7): 121824. (in Chinese)
ANDERSON J D. Fundamentals of aerodynamics[M]. New York: McGRaw-Hill. , 2007.
UENO A, SUZUKI K. CFD-based shape optimization of hypersonic vehicles considering transonic aerodynamic performance[C]//46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada. Reston, Virigina: AIAA, 2008: 288. doi: 10.2514/6.2008-288
UENO A, SUZUKI K. Two-dimensional shape optimization of hypersonic vehicles considering transonic aerodynamic performance[J]. Transactions of the Japan Society for Aeronautical and Space Sciences, 2009, 52(176): 65-73. DOI:10.2322/tjsass.52.65
SUN X C, HAN Z H, LIU F, et al. Design and analysis of hypersonic vehicle airfoil/wing at wide-range Mach numbers[J]. Acta Aeronautica et Astronautica Sinica, 2018, 39(6): 121737. (in Chinese)
LIU F, HAN Z H, ZHANG Y, et al. Surrogate-based aerodynamic shape optimization of hypersonic flows considering transonic performance[J]. Aerospace Science and Technology, 2019, 93: 105345. DOI:10.1016/j.ast.2019.105345
ZHANG Y, HAN Z H, LIU F, et al. Multi-objective aerodynamic shape optimization of wide-Mach-number-range airfoil[J]. Physics of Gases, 2019, 4(4): 26-40. (in Chinese)
ZHANG Y, HAN Z H, LIU F, et al. Aerodynamic design optimization of hypersonic wing over wide Mach-number range considering lift matching[C]//32nd Congress of the International Council of the Aeronautic Sciences, ICAS Paper 2020-0476, 2021.
GODARD J L. F6 model tests in the ONERA S2MA wind tunnel[C]// 2nd AIAA CFD Drag Prediction Workshop, 2003.
WILCOX F, BIRCH T, ALLEN J. Force, surface pressure, and flowfield measurements on a slender missile configuration with square cross-section at supersonic speeds[C]// 22nd Applied Aerodynamics Conference and Exhibit, Providence, Rhode Island. Reston, Virginia: AIAA, 2004 doi: 10.2514/6.2004-5451
KULFAN B M, BUSSOLETTI J E. “Fundamental” parameteric geometry representations for aircraft component shapes[C]//11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth, Virginia. Reston, Virginia: AIAA, 2006. https://www.brendakulfan.com/docs/CST1.pdf doi: 10.2514/6.2006-6948
KULFAN B. A universal parametric geometry representation method - “CST”[C]//45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada. Reston, Virginia: AIAA, 2007. AIAA-2007-62. doi: 10.2514/6.2007-62
HAN Z H. SurroOpt: A generic surrogate-based optimization code for aerodynamic and multidisciplinary design[C]//30th Congress of the International Council of the Aeronautical Sciences, Daejeon, South Korea, 2016. ICAS 2016-0281. https://www.icas.org/ICAS_ARCHIVE/ICAS2016/data/papers/2016_0281_paper.pdf
HAN Z H, GÖRTZ S. Hierarchical Kriging model for variable-fidelity surrogate modeling[J]. AIAA Journal, 2012, 50(9): 1885-1896. DOI:10.2514/1.J051354
HAN Z H, ZHANG Y, SONG C X, et al. Weighted gradient-enhanced kriging for high-dimensional surrogate modeling and design optimization[J]. AIAA Journal, 2017, 55(12): 4330-4346. DOI:10.2514/1.J055842
HAN Z H, XU C Z, ZHANG L, et al. Efficient aerodynamic shape optimization using variable-fidelity surrogate models and multilevel computational grids[J]. Chinese Journal of Aeronautics, 2020, 33(1): 31-47. DOI:10.1016/j.cja.2019.05.001
HAN Z H, CHEN J, ZHANG K S, et al. Aerodynamic shape optimization of natural-laminar-flow wing using surrogate-based approach[J]. AIAA Journal, 2018, 56(7): 2579-2593. DOI:10.2514/1.J056661
HAN Z H. Kriging surrogate model and its application to design optimization: a review of recent progress[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(11): 3197-3225. (in Chinese)
HAN Z H, XU C Z, QIAO J L, et al. Recent progress of efficient global aerodynamic shape optimization using surrogate-based approach[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41(5): 623344. (in Chinese)
XIA L, WANG D, ZHANG Y, et al. Aerodynamic optimization method based on adaptive surrogate model[J]. Acta Aerodynamica Sinica, 2016, 34(4): 433-440. (in Chinese)