二维均匀剪切湍流的湍涡闭合方案

J4 ›› 2010, Vol. 28 ›› Issue (1): 8-19.

二维均匀剪切湍流的湍涡闭合方案

赵建华, 张　强

中国气象局兰州干旱气象研究所，甘肃省干旱气候变化与减灾重点实验室，中国气象局干旱气候变化与减灾重点开放实验室，甘肃　兰州　730020

收稿日期:2009-10-19 修回日期:2010-01-06 出版日期:2010-04-01 发布日期:2010-04-01
作者简介:赵建华（１９７６－），男，宁夏中卫人，助研，主要从事沙尘暴和边界层方面的研究．Ｅ－ｍａｉｌ：ｐｉｎｅ＿ｇｕｅｓｔ＠１６３．ｃｏｍ
基金资助:
甘肃省自然科学研究基金“干旱半干旱地区地表水汽通量估算方法研究”(096RJZA130) 资助

Turbulen t - Eddy Closure Scheme for Two - D imen siona l Homogeneous Turbulen t Shear Flow

ZHAO J ianhua, ZHANG Qiang

Institute of A rid M eteorology, China M eteorological Adm inistration; Key Laboratory of A rid Clim ate Change and Reducing
D isaster of Gansu Provinc; Key Open Laboratory of Clim atic Change and D isaster Reduction of CMA, Lanzhou 730020, China

Received:2009-10-19 Revised:2010-01-06 Online:2010-04-01 Published:2010-04-01

摘要/Abstract

摘要：

通过仔细分析Thorpe与Woods等对湍流的典型实验,得到如下结论: (1)提出了湍流的太极模型; (2)指出了湍流串级的内容包括2个内容,一是湍流外圈层(大涡)在内旋到内部时产生新的圈层(小涡) ,二是在阴阳旋臂相切的锋面由于依然存在较大切变而产生新的次尺度湍涡; (3)指出湍流的耗散机制是通过湍涡,把具有切变的2流场的交界面通过旋转而无限拉长以增大2者的接触面积,加强了交界面之间的分子交换,从而实现了湍流层层混合的高效率; (4)基于湍涡结构,提出了湍涡闭合方案,给出了Reynolds应力的表达式,闭合了雷诺方程; (5)混合长反映了湍涡的大小, Karman常数则反映了湍涡内外半径比的关系; (6)指出Reynolds方程算子是湍流方程推导的关键,提出了湍流算子的概念; (7)推导出了新型的湍流运动方程; (8)提出了关系不变性原理。

关键词: 湍涡模型, 湍涡闭合方案, Karman常数, 湍流算子, 关系不变性原理

Abstract:

After anatomizing the typ ical experiments for turbulence by Thorpe andWoods et al. , some results are obtained as follows:(1) a Taichimodel for turbulence is brought forward; (2) The cascade of turbulence includes two basic contents: one is the small -scale eddies resulted from the large - scale eddies by their inward - rotation motions, the other is the hypo - scale eddies originated from the frontwhich is a bigger - speed - shear interface separating the fluids from each other; (3) The dissipative mechanism of turbulence is associated with the frontwhich always tends to be drawn very long. As a result, the interface linking two fluids is extended infinitely and the p rocess of the molecular diffusion between the interface is then highly enhanced to achieve the high effective diffusion of turbulence; (4) An eddy closure scheme is brought forward to close the Reynolds equations; (5) The mixing length is equal to the outer radius of a turbulent eddy, while Karman constant is a function of ratio of inner radius to outer radius of the eddy; (6) By the ideas of operator and turbulent operator, the actual turbulent dynamical equations are deduced; (7) The invariance p rincip le of relationship is brought forward. What’smore, counter - gradient transport and eddy relationology are also discussed.

Key words: turbulent eddymodel, closure scheme of eddy, Karman constant, turbulent operator, invariance p rincip le of relationship

中图分类号:

P404

赵建华, 张　强. 二维均匀剪切湍流的湍涡闭合方案[J]. J4, 2010, 28(1): 8-19.

DIAO Jian-Hua, ZHANG 　Jiang. Turbulen t - Eddy Closure Scheme for Two - D imen siona l Homogeneous Turbulen t Shear Flow[J]. J4, 2010, 28(1): 8-19.

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