Research Articles

Numerical simulation of the supersonic flow/jet flow and their interaction at different flight altitudes

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  • 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
    2. State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
    3. School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2019-01-11

  Online published: 2019-05-30

Abstract

The two-dimensional Navier-Stokes equations were solved using high-precision schemes, and the basic structure of the flow field in the supersonic flow and jet flow at different flight altitudes was studied. The three-order Runge-Kutta scheme was adopted in the time-marching scheme. The five-order weighted essentially non-oscillatory (WENO) and the six-order central difference schemes were used to discretize the convection term and viscous term, respectively. The parallel computation was performed using MPI non-blocking communication. The basic structural characteristics of backward-facing step flow and jet flow under backward-facing steps at different flight altitudes were studied. Furthermore, by combining the two flows, the flow field structure of the interaction between the supersonic flow and jet flow was studied. The supersonic flow above the backward-facing step was changed to simulate the environment of different flight altitudes, and the environment affected structures such as vortices, shear layers, and shock waves in the flow field. It was observed that after the interaction between the supersonic flow and jet flow, a recirculation zone was generated near the back step, and the presence of supersonic flow affected the structures of the jet flow.

Cite this article

DENG Fang, HAN Guilai, LIU Meikuan, DING Jue, WENG Peifen, JIANG Zonglin . Numerical simulation of the supersonic flow/jet flow and their interaction at different flight altitudes[J]. Journal of Shanghai University, 2021 , 27(2) : 307 -324 . DOI: 10.12066/j.issn.1007-2861.2147

References

[1] Wilkins S J, Hosseinali M, Hall J W. Investigation of unsteady pressure fluctuations in flow over backward-facing step[J]. AIAA Journal, 2019,57(2):1-10.
[2] Nagarajan B, Baraiya N A, Chakravarthy S R. Effect of inlet flow turbulence on the combustion instability in a premixed backward-facing step combustor[J]. Proceedings of the Combustion Institute, 2019,37(4):5189-5196.
[3] Cao D, He G, Qin F, et al. Local supersonic and subsonic combustion mode transition in a supersonic jet flame[J]. Proceedings of the Combustion Institute, 2019,37(3):3723-3731.
[4] Nonomura T, Nakano H, Ozawa Y, et al. Large eddy simulation of acoustic waves generated from a hot supersonic jet[J]. Shock Waves, 2019,29(10):1-22.
[5] Henderson B, Bridges J, Wernet M. An experimental study of the oscillatory flow structure of tone-producing supersonic impinging jets[J]. Journal of Fluid Mechanics, 2005,542:115-137.
[6] 李晓鹏, 周蕊, 庄法坤, 等. 不同喷压比下欠膨胀射流对特征频率激励的响应[J]. 推进技术, 2019(6):1239-1246.
[6] Li X P, Zhou R, Zhuang F K, et al. Flow response of underexpanded jets to external excitation at different nozzle pressure ratios[J]. Journal of Propulsion Technology, 2019(6):1239-1246.
[7] Kuo C Y, Dowling A P. Oscillations of a moderately underexpanded choked jet impinging upon a flat plate[J]. Journal of Fluid Mechanics, 1996,315:267-291.
[8] Ayyappan D, Vaidyanathan A, Muthukumaran C K, et al. Study of instability nature of circular liquid jet at critical chamber conditions[M]. Singapore: Advanced Engine Diagnostics, 2019: 205-217.
[9] Ebrahimi H B. Numerical investigation of jet interaction in a supersonic freestream[J]. Journal of Spacecraft and Rockets, 2008,45(1):95.
[10] Reardon J E, Nelson H F. Rocket plume base heating methodology[J]. Journal of Thermophysics and Heat Transfer, 1994,8(2):216-222.
[11] Alturaifi S A, Rebagay R L, Mathieu O, et al. A shock-tube autoignition study of jet, rocket, and diesel fuels[J]. Energy & Fuels, 2019. DOI: 10.1021/acs.energy-fuels.8b04290.
[12] 顾善建, 黄勇, 杨茂林, 等. 内混式气动喷嘴的雾化特性研究[J]. 航空动力学报, 1993(4):412-414, 422.
[12] Gu S J, Huang Y, Yang M L, et al. Study on automization characteristic of air assisted atomizer[J]. Journal of Aerospace Power, 1993(4):412-414, 422.
[13] 刘昊, 张蒙正, 豆飞龙. 超燃冲压发动机支板研究综述[J]. 火箭推进, 2016,42(5):74-81.
[13] Liu H, Zhang M Z, Dou F L. Research on strut of scramjet engine[J]. Journal of Rocket Propulsion, 2016,42(5):74-81.
[14] 邱骁, 丁珏, 王忠杰, 等. 湍流分离流中颗粒的扩散机制[J]. 上海大学学报 (自然科学版), 2016,22(5):586-596.
[14] Qiu X, Ding J, Wang Z J, et al. Particles diffusion mechanism in turbulent seperation flow[J]. Journal of Shanghai University (Natural Science Edition), 2016,22(5):586-596.
[15] Orellano A, Wengle H. Numerical simulation (DNS and LES) of manipulated turbulent boundary layer flow over a surface-mounted fence[J]. European Journal of Mechanics B(Fluids), 2000,19(5):765-788.
[16] Neumann J, Wengle H. DNS and LES of passively controlled turbulent backward-facing step flow[J]. Flow, Turbulence and Combustion, 2003,71(1):297-310.
[17] Biswas G, Breuer M, Durst F. Backward-facing step flows for various expansion ratios at low and moderate Reynolds numbers[J]. Journal of Fluids Engineering, 2004,126(3):362-374.
[18] Hasan M A Z. The flow over a backward-facing step under controlled perturbation: laminar separation[J]. Journal of Fluid Mechanics, 1992,238:73-96.
[19] Reddeppa P, Nagashetty K, Saravanan S, et al. Measurement of heat transfer rate on backward-facing steps at hypersonic Mach number[J]. Journal of Thermophysics and Heat Transfer, 2011,25(3):321-328.
[20] Zapryagaev V, Pickalov V, Kiselev N, et al. Combination interaction of Taylor-Goertler vortices in a curved shear layer of a supersonic jet[J]. Theoretical and Computational Fluid Dynamics, 2004,18(2):301-308.
[21] Imamoglu B, Baysal O, Balakumar P. Computation of shock induced noise in imperfectly expanded supersonic jets[J]. International Journal of Aeroacoustics, 2007,6(2):127-146.
[22] 刘昕, 姜宗林, 王春, 等. 欠膨胀超声速射流不稳定性机理的数值研究[J]. 力学学报, 2008(5):577-584.
[22] Liu X, Jiang Z L, Wang C, et al. Numerical investigation into the mechanism of under-expanded supersonic jet instability[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008(5):577-584.
[23] 张德良. 计算流体力学教程 [M]. 北京: 高等教育出版社, 2010: 424-431.
[23] Zhang D L. A course in computational fluid dynamics [M]. Beijing: Higher Education Press, 2010: 424-431.
[24] Jiang G S, Shu C W. Efficient implementation of weighted ENO schemes[J]. Journal of Computational Physics, 1996,126(1):202-228.
[25] 傅德薰, 马延文, 李新亮. 可压缩湍流直接数值模拟 [M]. 北京: 科学出版社, 2010: 173-183.
[25] Fu D X, Ma Y W, Li X L. Direct numerical simuletion of compressible turbulence [M]. Beijing: Science Press, 2010: 173-183.
[26] Dormand J R, Prince P J. A family of embedded Runge-Kutta formulae[J]. Journal of Computational and Applied Mathematics, 1980,6(1):19-26.
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