应用于非惯性系湍流模拟的扩展内禀旋转张量

黄于宁; 马晖扬

应用于非惯性系湍流模拟的扩展内禀旋转张量

黄于宁¹,
马晖扬²

1.
北京大学湍流和复杂系统国家重点实验室,北京100871;2.中国科学院研究生院物理学院,北京 100049

详细信息

作者简介:
黄于宁(1961- ),男,广东人,教授,博士(E-mail:yuninghuang@yahoo.com);马晖扬(联系人.Tel:+86-10-88256351).

中图分类号: O357.5
计量
- 文章访问数: 3481
- HTML全文浏览量: 147
- PDF下载量: 716
- 被引次数: 0
出版历程
- 收稿日期: 2008-06-10
- 修回日期: 2008-10-05
- 刊出日期: 2008-11-15

The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference

HUANG Yu-ning¹,
MA Hui-yang²

1.
State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing 100871, P. R. China;

摘要

摘要: 研究扩展内禀旋转张量在非惯性系湍流模拟中的作用，特别是对代数Reynolds应力湍流模式(如非线性K-ε模式)的重要性．为此，采用几个近年来发展的非线性K-ε湍流模式模拟旋转坐标系下均匀剪切湍流，并且和大涡模拟的结果进行比较．计算结果和分析表明，需要发展更先进的非线性K-ε模式从而更好地描述非惯性系下的复杂湍流．
- 湍流模拟 /
- 非惯性系 /
- 扩展内禀旋转张量 /
- 代数Reynolds应力张量
Abstract: The role of the extended intrinsic mean spin tensor introduced for turbulence modelling in a non-inertial frame of reference which is described by the Euclidean group of transformations and, in particular, its significance and importance in the approach of the algebraic Reynolds stress modelling, such as in a nonlinear Kepsilon model is investigated. To this end and for illustration of the effect of the extended intrinsic spin tensor on turbulence modelling, several recently developed nonlinear Kepsilon models were examined and their performance in predicting the homogeneous turbulent shear flow in a rotating frame of reference with the LES data was compared. The results and analysis indicate that only if the deficiencies of these models and the like be well understood in detail and be properly corrected, may in the near future more sophisticated nonlinear Kepsilon models be developed to better predict the complex turbulent flows in a non-inertial frame of reference.
- turbulence modelling /
- non-inertial frame ofreference /
- extended intrinsic mean spin tensor /
- frame-dependent

HTML全文

参考文献(27)

[1]	Lumley J L.Toward a turbulent constitutive equation[J].Journal of Fluid Mechanics,1970，41：413-434. doi: 10.1017/S0022112070000678
[2]	Lumley J L.Computational modeling of turbulent flows[J].Advances in Applied Mechanics,1978,18:123-176.
[3]	Launder B E,Tselepidakis D P,Younis B A.A second-moment closure study of rotating channel flow[J].Journal of Fluid Mechanics,1987，183:63-75. doi: 10.1017/S0022112087002520
[4]	Speziale C G,Gatski T B,Mac Giolla Mhuiris N.A critical comparison of turbulence models for homogeneous shear flows in a rotating frame[J].Physics of Fluids A,1990,2(9):1678-1684. doi: 10.1063/1.857575
[5]	Kristoffersen R,Andersson H.Direct simulation of low-Reynolds-number turbulent flow in a rotating channel[J].Journal of Fluid Mechanics,1993,256:163-197. doi: 10.1017/S0022112093002757
[6]	Gatski T B,Speziale C G.On explicit algebraic models for complex turbulent flows[J].Journal of Fluid Mechanics,1993,254:59-78. doi: 10.1017/S0022112093002034
[7]	Jongen T,Mompean G,Gatski T B.Accounting for Reynolds stress and dissipation rate anisotropies in inertial and non-inertial frames[J].Physics of Fluids,1998,10(3):674-684. doi: 10.1063/1.869593
[8]	Nagano Y,Hattori H.An improved turbulence model for rotating shear flows[J].Journal of Turbulence,2002,3(6):1-14. doi: 10.1088/1468-5248/3/1/001
[9]	Nagano Y,Hattori H. Direct numerical simulation and modelling of spanwise rotating channel flow with heat transfer[J].Journal of Turbulence,2003,4(10):1-15.
[10]	Yoshizawa A,Nisizima S,Shimomura Y,et al.A new methodology for Reynolds-averaged modeling based on the amalgamation of heuristic-modeling and turbulence-theory methods[J].Physics of Fluids,2006,18(3),035109.DOI: 10.106311.2186669.
[11]	Chou P Y.On velocity correlations and the solution of the equations of turbulent motion[J].Quarterly of Applied Mathematics,1945,3:38-54.
[12]	Huang Y N,Ma H Y.Reynolds stress model involving the mean spin tensor[J].Physical Review E,2004,70(5):036302. doi: 10.1103/PhysRevE.70.036302
[13]	Tavoularis S,Corrsin S. Experiments in nearly homogeneous turbulent shear flow with a uniform temperature gradient Parts 1 and 2[J].Journal of Fluid Mechanics,1981,104:311-367. doi: 10.1017/S0022112081002930
[14]	Craft T J, Launder B E, Suga K. Development and application of a cubic eddy-viscosity model of turbulence[J].International Journal of Heat and Fluid Flow,1996,17(2):108-115. doi: 10.1016/0142-727X(95)00079-6
[15]	Shih T H,Zhu J,Liou W,et al.Modeling of turbulent swirling flows[A].In:Proceedings of 11th Symposium on Turbulent Shear Flows[C].Grenoble,France，1997,31.1-31.6.
[16]	Bardina J,Ferziger J H,Reynolds W C.Improved turbulence models based on large-eddy simulation of homogeneous,incompressible turbulent flows[R]. Tech.Report TF-19,Stanford,California：Stanford University,1983.
[17]	Truesdell C,Noll W.The non-Linear field theories of mechanics[A].In:Flügge S,Truesdell C,Eds.Handbuch der Physik[C].vol Ⅲ/3.Berlin:Springer-Verlag 1965.
[18]	Huang Y N,Durst F.Reynolds stress under a change of frame of reference[J].Physical Review E,2001,63(5):056305. doi: 10.1103/PhysRevE.63.056305
[19]	Speziale C G.Turbulence modeling in noninertial frames of reference[J].Theoretical and Computational Fluid Dynamics,1989,1(1):3-19.
[20]	Gatski T B,Wallin S.Extending the weak-equilibrium condition for algebraic Reynolds stress models to rotating and curved flows[J].Journal of Fluid Mechanics,2004,518:147-155. doi: 10.1017/S0022112004000837
[21]	Speziale C G,Mac Giolla Mhuiris N.On the prediction of equilibrium states in homogeneous turbulence[J].Journal of Fluid Mechanics,1989,209:591-615. doi: 10.1017/S002211208900323X
[22]	Speziale C G,Sarkar S,Gatski T B.Modelling the pressure-strain correlation of turbulence:an invariant dynamical systems approach[J].Journal of Fluid Mechanics,1991,227:245-272. doi: 10.1017/S0022112091000101
[23]	Pope S B.A more general effective-viscosity hypothesis[J].Journal of Fluid Mechanics,1975,72:331-340. doi: 10.1017/S0022112075003382
[24]	Huang Y N.A note on the “principle of material frame-indifference in the limit of two-dimensional turbulence”[J].Communications in Nonlinear Science and Numerical Simulation,2006,11(1):854-860. doi: 10.1016/j.cnsns.2004.12.012
[25]	Lumley J L.Turbulence modeling[J].ASME Journal of Applied Mechanics,1983,50:1097-1103. doi: 10.1115/1.3167192
[26]	Huang Y N.On modelling the Reynolds stress in the context of continuum mechanics[J].Communications in Nonlinear Science and Numerical Simulation,2004,9(5):543-559. doi: 10.1016/S1007-5704(03)00007-8
[27]	Huang Y N,Ma H Y,Chu H J.Modelling turbulent swirling flows based on the approach of two-equation K-ε approach[J].International Journal for Numerical Methods in Fluids,2006,51(3):285-304. doi: 10.1002/fld.1123

施引文献

资源附件(0)

访问统计

计量

文章访问数: 3481
HTML全文浏览量: 147
PDF下载量: 716
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

应用于非惯性系湍流模拟的扩展内禀旋转张量

作者简介:
黄于宁(1961- ),男,广东人,教授,博士(E-mail:yuninghuang@yahoo.com);马晖扬(联系人.Tel:+86-10-88256351).

计量

The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference

计量

目录

留言板

应用于非惯性系湍流模拟的扩展内禀旋转张量

作者简介: 黄于宁(1961- ),男,广东人,教授,博士(E-mail:yuninghuang@yahoo.com);马晖扬(联系人.Tel:+86-10-88256351).

计量

出版历程

The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference

计量

出版历程

目录

作者简介:
黄于宁(1961- ),男,广东人,教授,博士(E-mail:yuninghuang@yahoo.com);马晖扬(联系人.Tel:+86-10-88256351).