守恒型可压缩一维湍流方法及其在超声速标量混合层中的应用

doi:10.7527/S1000-6893.2021.26364

本期目录 | 过刊浏览 | 高级检索

前一篇 | 后一篇

守恒型可压缩一维湍流方法及其在超声速标量混合层中的应用

陈崇沛¹, 梁剑寒¹, 关清帝¹, 高天运^1,2

1. 国防科技大学空天科学学院临近空间技术研究所, 长沙 410073;
2. 国防科技大学国际关系学院, 南京 210039

收稿日期:2021-09-01 修回日期:2021-09-14 发布日期:2021-10-09
通讯作者: 梁剑寒 E-mail:jhleon@vip.sina.com

Conservative compressible one-dimensional turbulence method and its application in supersonic scalar mixing layer

CHEN Chongpei¹, LIANG Jianhan¹, GUAN Qingdi¹, GAO Tianyun^1,2

1. Science and Technology on Scramjet Laboratory, College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;
2. International Studies College, National University of Defense Technology, Nanjing 210039, China

Received:2021-09-01 Revised:2021-09-14 Published:2021-10-09

摘要/Abstract

摘要： 一维湍流（ODT）方法是一种能在一维计算域上遵循湍流基本物理规律的湍流建模方法。通过结合确定性和随机性求解方法，能够在一维计算域上准确捕捉到湍流统计规律，且降维建模可显著减小计算量。ODT方法主要被广泛用于不可压湍流和湍流燃烧研究，若要将其拓展用于模拟高速可压缩湍流，需对建模方法进行深度改进。相比于不可压ODT方法，本文基于欧拉参考框架，针对可压缩湍流的特性，将因变量由原始变量改为有利于减小可压缩湍流模拟误差的守恒通量，并加入了组分求解模块。对确定性和随机性求解模块均进行了相应的深度改进，开发出具有标量混合模拟功能的守恒型可压缩ODT方法。在确定性模块中改为求解以守恒通量为变量的一维截断控制方程，在随机性模块中构造一维涡时，将三联映射的作用对象也相应地由原始变量改为守恒通量，并选用了可保证变密度情况下动量守恒的双核变换。通过模拟空间发展超声速平面湍流混合层并将自相似阶段结果与实验结果比对，验证该方法对可压缩剪切湍流场中标量混合的捕捉精度。守恒型可压缩ODT方法模拟得到的速度场和组分场的平均剖面和脉动强度分布与实验结果准确吻合，精度明显优于传统的耦合梯度扩散亚格子模型的大涡模拟方法（LES-GRAD.DIFF.）以及耦合线性涡（LEM）亚格子模型的大涡模拟方法（LES-LEM），且该方法的降维处理使其在降低计算成本方面具有显著优势。

关键词: 一维湍流(ODT), 可压缩湍流, 数值模拟, 守恒型, 混合层, 标量混合

Abstract: The One-Dimensional Turbulence (ODT) method is a turbulence modeling method that follows the basic physical laws of turbulence in the one-dimensional computational domain. The statistical laws of turbulence can be accurately captured in the one-dimensional computational domain by combining deterministic and stochastic solving methods, and modeling in the reduced dimension can significantly reduce the amount of computation. The ODT method is widely used in the study of incompressible turbulence and turbulent combustion, but needs to be further improved to simulate high-speed compressible turbulent flows. Different from the incompressible ODT method, in this paper, the dependent variables are changed from the original variables to the conservative fluxes based on the Euler reference frame, which is beneficial to reducing the error of compressible turbulence simulation. A component solution module is also proposed in this research. A conservative compressible ODT method capable of simulating scalar mixing is developed by further improving both deterministic and stochastic solving modules in a corresponding manner. In the deterministic module, the one-dimensional truncated governing equations solved are adjusted as the ones with conservative fluxes as dependent variables, and the triplet mapped object is correspondingly changed from the original variables to the conservative fluxes, and simultaneously the kernel transformation with two kernels is selected to ensure momentum conservation for variable density when one-dimensional eddies are constructed in the stochastic module. The accuracy of the method for capturing scalar mixing in the compressible shear turbulent field was verified by simulating the spatially developing supersonic plane turbulent mixing layer and comparing the results of the self-similar stage with the experimental results. The mean profile and the fluctuation intensity profile of velocity field and component field captured by the method proposed are in excellent agreement with experimental results. The accuracy of the proposed method is obviously better than that of the Large Eddy Simulation with the Gradient Diffusion sub-grid closure (LES-GRAD.DIFF.) and that of the Large Eddy Simulation coupled with the Linear Eddy Mixing (LEM) model (LES-LEM), and the dimensionality reduction of the method proposed gives it a significant advantage in reducing computational cost.

Key words: One-Dimensional Turbulence (ODT), compressible turbulent flow, numerical simulation, conservative, mixing layer, scalar mixing

中图分类号:

V231.21

陈崇沛, 梁剑寒, 关清帝, 高天运. 守恒型可压缩一维湍流方法及其在超声速标量混合层中的应用[J]. 航空学报, 2021, 42(S1): 726364-726364.

CHEN Chongpei, LIANG Jianhan, GUAN Qingdi, GAO Tianyun. Conservative compressible one-dimensional turbulence method and its application in supersonic scalar mixing layer[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(S1): 726364-726364.

参考文献

[1] SANKARAN V, MENON S. LES of scalar mixing in supersonic mixing layers[J]. Proceedings of the Combustion Institute, 2005, 30(2): 2835-2842.
[2] KERSTEIN A R. One-dimensional turbulence: Model formulation and application to homogeneous turbulence, shear flows, and buoyant stratified flows[J]. Journal of Fluid Mechanics, 1999, 392: 277-334.
[3] KERSTEIN A R, ASHURST W T, WUNSCH S, et al. One-dimensional turbulence: Vector formulation and application to free shear flows[J]. Journal of Fluid Mechanics, 2001, 447: 85-109.
[4] ASHURST W T, KERSTEIN A R. One-dimensional turbulence: Variable-density formulation and application to mixing layers[J]. Physics of Fluids, 2005, 17(2): 025107.
[5] RAKHI, KLEIN M, MEDINA M J A, et al. One-dimensional turbulence modelling of incompressible temporally developing turbulent boundary layers with comparison to DNS[J]. Journal of Turbulence, 2019, 20(8): 506-543.
[6] RAKHI, SCHMIDT H. One-dimensional turbulence: Application to incompressible spatially developing turbulent boundary layers[J]. International Journal of Heat and Fluid Flow, 2020, 85: 108626.
[7] ECHEKKI T, KERSTEIN A R, DREEBEN T D, et al. ‘One-dimensional turbulence’ simulation of turbulent jet diffusion flames: model formulation and illustrative applications[J]. Combustion and Flame, 2001, 125(3): 1083-1105.
[8] RANGANATH B, ECHEKKI T. One-dimensional turbulence-based closure with extinction and reignition[J]. Combustion and Flame, 2008, 154(1-2): 23-46.
[9] ECHEKKI T, GUPTA K G. Hydrogen autoignition in a turbulent jet with preheated co-flow air[J]. International Journal of Hydrogen Energy, 2009, 34(19): 8352-8377.
[10] AN J T, JIANG Y, YE M J, et al. One-dimensional turbulence simulations and chemical explosive mode analysis for flame suppression mechanism of hydrogen/air flames[J]. International Journal of Hydrogen Energy, 2013, 38(18): 7528-7538.
[11] MOVAGHAR A, LINNE M, OEVERMANN M, et al. Numerical investigation of turbulent-jet primary breakup using one-dimensional turbulence[J]. International Journal of Multiphase Flow, 2017, 89: 241-254.
[12] FISTLER M, KERSTEIN A, LIGNELL D O, et al. Turbulence modulation in particle-laden stationary homogeneous isotropic turbulence using one-dimensional turbulence[J]. Physical Review Fluids, 2020, 5(4): 044308.
[13] ECHEKKI T, GUPTA K G. Hydrogen autoignition in a turbulent jet with preheated co-flow air[J]. International Journal of Hydrogen Energy, 2009, 34(19): 8352-8377.
[14] GUPTA K G, ECHEKKI T. One-dimensional turbulence model simulations of autoignition of hydrogen/carbon monoxide fuel mixtures in a turbulent jet[J]. Combustion and Flame, 2011, 158(2): 327-344.
[15] GOWDA B D, ECHEKKI T. One-dimensional turbulence simulations of hydrogen-fueled HCCI combustion[J]. International Journal of Hydrogen Energy, 2012, 37(9): 7912-7924.
[16] LIGNELL D O, RAPPLEYE D S. One-dimensional-turbulence simulation of flame extinction and reignition in planar ethylene jet flames[J]. Combustion and Flame, 2012, 159(9): 2930-2943.
[17] 蒋勇, 邱榕, 董刚, 等. 基于一维全尺度湍流模型的氢气射流扩散火焰结构数值模拟[J]. 燃烧科学与技术, 2006, 12(5): 401-407. JIANG Y, QIU R, DONG G, et al. One-dimensional turbulence simulation of diffusion flame in a hydrogen-air jet with detailed chemistry[J]. Journal of Combustion Science and Technology, 2006, 12(5): 401-407(in Chinese).
[18] WU S H, QIU R, JIANG Y. Local extinction and reignition in non-premixed turbulent jet H₂/N₂ diffusion flames[J]. 燃烧科学与技术, 2007, 13(4): 347-354. WU S H, QIU R, JIANG Y. Local extinction and reignition in non-premixed turbulent jet H₂/N₂ diffusion flames[J]. Journal of Combustion Science and Technology, 2007, 13(4): 347-354(in Chinese).
[19] 卓丽颖, 蒋勇, 徐武, 等. 湍流射流C₃H₈/H₂/air扩散火焰中的局部熄火和再燃现象[J]. 火灾科学, 2014, 23(2): 85-91. ZHUO L Y, JIANG Y, XU W, et al. Local extinction and reignition in nonpremixed turbulent jet C₃H₈/H₂/air diffusion flames[J]. Fire Safety Science, 2014, 23(2): 85-91(in Chinese).
[20] WANG L, JIANG Y, PAN L W, et al. Lagrangian investigation and chemical explosive mode analysis of extinction and re-ignition in H₂/CO/N₂ syngas non-premixed flame[J]. International Journal of Hydrogen Energy, 2016, 41(8): 4820-4830.
[21] 蒋勇, 邱榕, 张和平. 融合湍流燃烧信息实现燃料反应机理简化的方法: 中国, CN101900349A[P]. 2010-12-01. JIANG Y, QIU R, ZHANG H P. A method for simplify-ing fuel reaction mechanism by integrating turbulent combustion information: China, CN101900349A[P]. 2010-12-01(in Chinese).
[22] 吴玉新, 仇晓龙, 张大龙, 等. 采用一维湍流模型对瞬态煤粉气化火焰的数值模拟[J]. 工程热物理学报, 2012, 33(9): 1619-1622. WU Y X, QIU X L, ZHANG D L, et al. Numerical simulation of instantaneous coal gasification flames with one dimension turbulence model[J]. Journal of Engineering Thermophysics, 2012, 33(9): 1619-1622(in Chinese).
[23] 仇晓龙, 吴玉新, 张海, 等. 一维湍流模型对He平面羽流和CH₄/H₂/N₂射流火焰的数值模拟[J]. 工程热物理学报, 2012, 33(6): 1073-1076. QIU X L, WU Y X, ZHANG H, et al. Simulation of He plumes and CH₄/H₂/N₂ flames with one dimensional turbulence model[J]. Journal of Engineering Thermophysics, 2012, 33(6): 1073-1076(in Chinese).
[24] JOZEFIK Z, KERSTEIN A R, SCHMIDT H. Simulation of shock-turbulence interaction in non-reactive flow and in turbulent deflagration and detonation regimes using one-dimensional turbulence[J]. Combustion and Flame, 2016, 164: 53-67.
[25] ANDERSON J D .计算流体力学入门[M].姚朝晖, 周强, 译. 北京: 清华大学出版社, 2010: 65-72. ANDERSON J D. Computational fluid dynamics: The basics with applications[M].YAO Z H, ZHOU Q, translated. Beijing: Tsinghua University Press, 2010: 65-72(in Chinese).
[26] SCHMIDT R C, KERSTEIN A R, WUNSCH S, et al. Near-wall LES closure based on one-dimensional turbulence modeling[J]. Journal of Computational Physics, 2003, 186(1): 317-355.
[27] MCDERMOTT R. Toward one-dimensional turbulence subgrid closure for large-eddy simulation[D].Salt lake City: The University of Utah, 2005: 55-66.
[28] HOFFIE A F, ECHEKKI T. A coupled LES-ODT model for spatially-developing turbulent reacting shear layers[J]. International Journal of Heat and Mass Transfer, 2018, 127: 458-473.
[29] CAO S F. A novel hybrid scheme for large-eddy simulation of turbulent combustion based on the one-dimensional turbulence model[D].Raleigh: North Carolina State University, 2006
[30] CAO S F, ECHEKKI T. A low-dimensional stochastic closure model for combustion large-eddy simulation[J]. Journal of Turbulence, 2008, 9: N2.
[31] RANGANATH B, ECHEKKI T. One-dimensional turbulence-based closure with extinction and reignition[J]. Combustion and Flame, 2008, 154(1-2): 23-46.
[32] ECHEKKI T, PARK J. The LES-ODT model for turbulent premixed flames[C]//48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. Reston: AIAA, 2010.
[33] PARK J, ECHEKKI T. LES-ODT study of turbulent premixed interacting flames[J]. Combustion and Flame, 2012, 159(2): 609-620.
[34] 高天运. 基于ODT模型的可压缩湍流建模与数值模拟方法研究[D].长沙: 国防科技大学, 2019: 72-118. GAO T Y. A study of modeling and simulation methods for compressible turbulent flows based on one-dimensional turbulence[D].Changsha: National University of Defense Technology, 2019: 72-118(in Chinese).
[35] 张兆顺, 崔桂香, 许春晓. 湍流理论与模拟[M].北京:清华大学出版社, 2005: 116-118. ZHANG Z S, CUI G X, XU C X. Theory and Modeling of Turbulence[M].Beijing: Tsinghua University Press, 2005: 116-118(in Chinese).
[36] CLEMENS N T, MUNGAL M G. Large-scale structure and entrainment in the supersonic mixing layer[J]. Journal of Fluid Mechanics, 1995, 284: 171-216.
[37] HILL D J, PANTANO C, PULLIN D I. Large-eddy simulation and multiscale modelling of a Richtmyer-Meshkov instability with reshock[J]. Journal of Fluid Mechanics, 2006, 557: 29-61.

E-mail：hkxb@buaa.edu.cn

关于我们

期刊社服务

专业学科

封面文章

友情链接

主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

守恒型可压缩一维湍流方法及其在超声速标量混合层中的应用

Conservative compressible one-dimensional turbulence method and its application in supersonic scalar mixing layer

RichHTML

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	施方成, 高振勋, 田雨岩, 蒋崇文, 王田天, 李椿萱. 超声速理想膨胀喷流噪声的大涡模拟[J]. 航空学报, 2023, 44(2): 626266-626266.
[2]	夏侯唐凡, 陈江涛, 邵志栋, 吴晓军, 刘宇. 随机和认知不确定性框架下的CFD模型确认度量综述[J]. 航空学报, 2022, 43(8): 25716-025716.
[3]	杨建凯, 顾冬冬, 葛庆, 檀晨晨, 文雨. 铝合金激光增材制造支撑布局及精确成形机制[J]. 航空学报, 2022, 43(4): 525331-525331.
[4]	姜有旭, 李杰, 杨钊. 某层流机翼验证机风洞试验数据修正方法[J]. 航空学报, 2022, 43(11): 526814-526814.
[5]	姜丽红, 饶寒月, 兰夏毓, 杨体浩, 耿建中, 白俊强. 混合层流机翼气动设计与综合收益影响[J]. 航空学报, 2022, 43(11): 526791-526791.
[6]	杨体浩, 白俊强, 段卓毅, 史亚云, 邓一菊, 周铸. 喷气式客机层流翼气动设计综述[J]. 航空学报, 2022, 43(11): 527016-527016.
[7]	王一雯, 兰夏毓, 史亚云, 华俊, 白俊强, 周铸. 考虑吸气影响的层流翼型梯度优化设计[J]. 航空学报, 2022, 43(11): 527323-527323.
[8]	赵彦, 段卓毅, 丁兴志, 杨体浩, 王猛. 面向飞行试验的混合层流机翼优化设计[J]. 航空学报, 2022, 43(11): 527539-527539.
[9]	段俊亦, 童福林, 李新亮, 刘洪伟. 压缩-膨胀湍流边界层平均摩阻分解[J]. 航空学报, 2022, 43(1): 625915-625915.
[10]	刘朋欣, 袁先旭, 孙东, 傅亚陆, 李辰. 高温化学非平衡湍流边界层直接数值模拟[J]. 航空学报, 2022, 43(1): 124877-124877.
[11]	沈鹏飞, 刘朋欣, 孙东, 袁先旭. 马赫6柱-裙构型激波/湍流边界层干扰摩阻统计特性[J]. 航空学报, 2022, 43(1): 626005-626005.
[12]	刘朋欣, 袁先旭, 梁飞, 李辰, 孙东. 高温化学非平衡湍流边界层脉动量象限分析[J]. 航空学报, 2021, 42(S1): 726338-726338.
[13]	鲍俊, 王瑜, 牛潜, 朱锡冬, 程建杰. 喷雾液滴撞击液膜影响参数及流动机理分析[J]. 航空学报, 2021, 42(S1): 726360-726360.
[14]	李青, 涂国华, 余钊圣, 林昭武, 李婷婷, 袁先旭. 惯性颗粒在非均匀加速流中的输运问题[J]. 航空学报, 2021, 42(S1): 726390-726390.
[15]	谢晨月, 王建春, 万敏平, 陈十一. 基于人工神经网络的可压缩湍流大涡模拟模型[J]. 航空学报, 2021, 42(9): 625723-625723.