Detached-Eddy Simulation Under the Influence of Side Jet

doi:10.3969/j.issn.1009-086x.2025.02.007

Abstract

Abstract:

When a hypersonic vehicle undergoes direct force control in the atmosphere， the interaction between the control jet and the incoming flow creates disturbance flow fields. Traditional Reynolds-averaged Navier-Stokes （RANS） models struggle to accurately predict these disturbances， leading to uncertainties. In order to deepen the understanding of the influence of supersonic side-jet inflow interference on the control system and its mechanism， a highly analytical numerical calculation method for the turbulent flow field based on the cone-pillar-skirt model is established. Comparing delayed detached eddy simulation （DDES） and RANS models under varying grid densities reveals significant discrepancies in the downstream jet wake disturbance region. DDES improves the reliability of lateral jet control results， especially under well-resolved turbulent grid conditions. Supported by simulations， the study enhances understanding of turbulent characteristics in supersonic lateral jet-induced disturbances. Dynamic DDES methods show improved pressure prediction compared to traditional RANS simulations， offering insights for enhancing the prediction accuracy of direct force control systems.

Key words: jet interference, delayed detached eddy simulation（DDES）, Reynolds-averaged Navier-Stokes（RANS）, flow separation, finite element method（FEM）

摘要：

跨域飞行器在大气中进行直接力控制时，喷流与来流相互作用，形成相应的干扰流场。已有研究指出，传统的雷诺时均模拟模型在准确预测该干扰流场的强时变和非线性流动特性方面存在困难。为深化对超声速侧向喷流-来流干扰对控制系统的影响及其作用机理的认知，本研究基于锥-柱-裙外形模型，建立了适用于喷流扰流场的湍流高解析数值计算方法。通过对比延迟脱体涡模拟方法和雷诺时均模型在不同网格密度下的仿真结果，研究发现延迟脱体涡模拟方法在流动下游的喷流尾迹干扰区域与雷诺时均方法存在显著差异。在侧喷控制领域，DDES方法在足够解析湍动的网格条件下显著提高了结果的可信度。该研究通过数值模拟支持，深入理解了超声速侧向喷流干扰流场的湍动特性，结果表明动态雷诺时均-大涡模拟方法可以提高雷诺时均模拟的压力预测效果。研究为提高直接力控制系统预测效果提供了参考。

关键词: 喷流干扰, 延迟脱体涡模拟, 雷诺时均方法, 流动分离, 有限元法

CLC Number:

TJ760.1

Jiaxin LIAO, Qingbing ZHANG, Gang CHEN, Houxin HE. Detached-Eddy Simulation Under the Influence of Side Jet[J]. Modern Defense Technology, 2025, 53(2): 66-73.

廖嘉鑫, 张庆兵, 陈刚, 何厚辛. 侧喷干扰脱体涡模拟研究[J]. 现代防御技术, 2025, 53(2): 66-73.

Figures/Tables 10

Fig. 1 AIT model diagram

Table 1 Summary of test conditions

工况参数	数值
雷诺数	1.975×10⁶
喷流出口马赫数	3.33
喷流总温/K	293.15
压力比（P_j/P_∞）	58.8
来流速度/（m·s^-1）	925
来流马赫数	6
来流静压/Pa	2 549.22
攻角/（°）	0

Table 2 Mesh convergence analysis dimensional statistics

编号

网格量/

1×10⁶

累计

加密

单次

加密

l R A N S / δ m e s h

Table 2 Mesh convergence analysis dimensional statistics

编号

网格量/

1×10⁶

累计

加密

单次

加密

l R A N S / δ m e s h

1.44

—

3.66

2.54

5.0

8.52

5.92

2.33

9.6

Fig. 2 Analysis of turbulent kinetic energy cloud image

Fig. 3 Flow field Q criterion contour surface and velocity cloud map

Fig. 4 Vortex cloud image of symmetric surface

Fig. 5 Comparison of model surface streamlines obtained by DDES （top half） and RANS （bottom half）

Fig. 6 RANS model surface pressure coefficient

Fig. 7 DDES model surface pressure coefficient Model surface pressure coefficient

Table 3 Result of the model force integral

网格	DDES			RANS
网格	F_x /N	F_y /N	M_z / （N∙m）	F_x /N	F_y /N	M_z / （N∙m）
1	38.24	318.12	55.64	37.90	319.12	55.74
2	38.38	314.70	54.96	37.86	318.72	55.72
3	37.94	314.36	54.96	37.84	318.64	55.70
平均值	38.18	315.72	55.18	37.86	318.82	55.72
标准差/%	0.02	0	0.01	0.02	0	0

References 25

1	ZHAO Yanhui， LIANG Jianhan， ZHAO Yuxin. Vortex Structure and Breakup Mechanism of Gaseous Jet in Supersonic Crossflow with Laminar Boundary Layer［J］. Acta Astronautica， 2016， 128： 140-146.
2	LING Julia， BARONE M F， DAVIS W， et al. Development of Machine Learning Models for Turbulent Wall Pressure Fluctuations［C］∥55th AIAA Aerospace Sciences Meeting. Reston： AIAA， 2017： AIAA 2017-0755.
3	王圣业，符翔，杨小亮，等. 高阶矩湍流模型研究进展及挑战［J］. 力学进展， 2021， 51（1）： 29-61.
	WANG Shengye， FU Xiang， YANG Xiaoliang， et al. Progresses and Challenges of High-Order-Moment Turbulence Closure［J］. Advances in Mechanics， 2021， 51（1）： 29-61.
4	PANDA J P. A Review of Pressure Strain Correlation Modeling for Reynolds Stress Models［J］. Proceedings of the Institution of Mechanical Engineers， Part C： Journal of Mechanical Engineering Science， 2020， 234（8）： 1528–1544.
5	TOGITI V， EISFELD B， BRODERSEN O. Turbulence Model Study for the Flow Around the NASA Common Research Model［J］. Journal of Aircraft， 2014， 51（4）： 1331-1343.
6	LING Julia， KURZAWSKI A， TEMPLETON J. Reynolds Averaged Turbulence Modelling Using Deep Neural Networks with Embedded Invariance［J］. Journal of Fluid Mechanics， 2016， 807： 155-166.
7	CÉCORA R D， RADESPIEL R， EISFELD B， et al. Differential Reynolds-Stress Modeling for Aeronautics［J］. AIAA Journal， 2015， 53（3）： 739-755.
8	LEFANTZI S， RAY J， ARUNAJATESAN S， et al. Estimation of k-ε Parameters Using Surrogate Models and Jet-in-Crossflow Data［R］. （2014-11-01）［2023-07-13］. https：//doi.org/10.2172/1170402.
9	YOSRI M， KAR T， TALEI M， et al. Large-Eddy Simulation of a Natural Gas Direct Injection Spark Ignition Engine with Different Injection Timings［J］. Fuel， 2023， 334， Part 1： 126535.
10	ONG J C， ZHANG Min， JENSEN M S， et al. Large Eddy Simulation of Soot Formation in a Ducted Fuel Injection Configuration［J］. Fuel， 2022， 313： 122735.
11	SCHIAVO E L， LAERA D， RIBER E， et al. On the Impact of Fuel Injection Angle in Euler-Lagrange Large Eddy Simulations of Swirling Spray Flames Exhibiting Thermoacoustic Instabilities［J］. Combustion and Flame， 2021， 227： 359-370.
12	MATSUYAMA S， IWATA K， NUNOME Y， et al. Large-Eddy Simulation of Rotating Detonation with a Non-Premixed CH₄/O₂ Injection［C］∥AIAA Scitech 2020 Forum. Reston： AIAA， 2020： AIAA 2020-1174.
13	HADADPOUR A， JANGI M， BAI Xuesong. Jet-Jet Interaction in Multiple Injections： A Large-Eddy Simulation Study［J］. Fuel， 2018， 234： 286-295.
14	GÉNIN F， MENON S. Dynamics of Sonic Jet Injection into Supersonic Crossflow［J］. Journal of Turbulence， 2010， 11： N4.
15	SANTIAGO J G， DUTTON J C. Velocity Measurements of a Jet Injected into a Supersonic Crossflow［J］. Journal of Propulsion and Power， 1997， 13（2）： 264-273.
16	WATANABE J， KOUCHI T， TAKITA K， et al. Large-Eddy Simulation of Jet in Supersonic Crossflow with Different Injectant Species［J］. AIAA Journal， 2012， 50（12）： 2765-2778.
17	TAKAHASHI H， MASUYA G， HIROTA M. Effects of Injection and Main Flow Conditions on Supersonic Turbulent Mixing Structure［J］. AIAA Journal， 2010， 48（8）： 1748-1756.
18	SPALART P R， JOU W H， STRELETS M， et al. Comments on the Feasibility of LES for Winges and on a Hybrid RANS/LES Approach［C］∥Proceedings of the First AFOSR International Conference on DNS/LES， 1997： 137-147.
19	SPALART P R. Detached-Eddy Simulation［J］. Annual Review of Fluid Mechanics， 2009， 41： 181-202.
20	TRAVIN A K， SHUR M L， SPALART P R， et al. Improvement of Delayed Detached-Eddy Simulation for LES with Wall Modelling［C］∥European Conference on Computational Fluid Dynamics， 2006.
21	王浩苏，单繁立，牛健，等. 基于火焰面/进度变量模型的超声速燃烧IDDES模拟［J］. 推进技术， 2015， 36（3）： 321-327.
	WANG Haosu， SHAN Fanli， NIU Jian， et al. IDDES Simulation of Supersonic Combustion Based on Flamelet/Progress Variable Model［J］. Journal of Propulsion Technology， 2015， 36（3）： 321-327.
22	SPALART P R， DECK S， SHUR M L， et al. A New Version of Detached-Eddy Simulation， Resistant to Ambiguous Grid Densities［J］. Theoretical and Computational Fluid Dynamics， 2006， 20（3）： 181-195.
23	胡偶，赵宁，沈志伟. SST-DDES模型在大分离流动问题中的应用［J］. 南京航空航天大学学报， 2017， 49（2）： 206-211.
	HU Ou， ZHAO Ning， SHEN Zhiwei. Simulation of Large Separated Flows with SST-DDES Model［J］. Journal of Nanjing University of Aeronautics & Astronautics， 2017， 49（2）： 206-211.
24	李昊. 基于DES类方法的动态气动特性数值模拟研究［D］. 长沙：国防科技大学， 2017.
	LI Hao. Dynamic Derivatives Analysis Based on the Detached Eddy Simulation［D］. Changsha： National University of Defense Technology， 2017.
25	KNIGHT D， YAN Hong， PANARAS A G， et al. Advances in CFD Prediction of Shock Wave Turbulent Boundary Layer Interactions［J］. Progress in Aerospace Sciences， 2003， 39（2/3）： 121-184.

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