| 利用重正化群方法推导湍流二阶矩封闭模型 |
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| 引用本文： | 刘正锋,王晓宏.利用重正化群方法推导湍流二阶矩封闭模型[J].力学学报,2007,39(2):195-201. |
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| 作者姓名： | 刘正锋 王晓宏 |
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| 作者单位： | 中国科学技术大学热科学和能源工程系,合肥230026;中国科学技术大学热科学和能源工程系,合肥230026 |
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| 基金项目： | 国家自然科学基金，中国科学院力学研究所非线性力学国家重点实验室开放研究课题 |
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| 摘 要： | Rubinstein和Barton在他们的原始工作中，利用Yakhot-Orszag湍流重正化群方法对雷诺
应力输运方程中的速度-压力梯度项和各向同性回归过程进行了模拟. 文中分析了
其在理论推导过程中存在的数学物理上不自洽的问题及计算错误，并且利用重正化
群方法重新系统地对雷诺应力输运方程进行了模拟，计算得到的湍流常数理论值和
经验值相接近.
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| 关 键 词： | 湍流模式 雷诺应力输运方程 二阶矩封闭模型 计算流体力学 重正化群 |
| 文章编号： | 0459-1879（2007）02-0195-07 |
| 收稿时间： | 2006-08-02 |
| 修稿时间： | 2006-12-05 |
DERIVATION OF THE SECOND-MOMENT CLOSURES FOR THE REYNOLDS STRESS USING THE RENORMALIZATION GROUP METHOD |
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| Liu Zhengfeng,Wang Xiaohong.DERIVATION OF THE SECOND-MOMENT CLOSURES FOR THE REYNOLDS STRESS USING THE RENORMALIZATION GROUP METHOD[J].chinese journal of theoretical and applied mechanics,2007,39(2):195-201. |
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| Authors: | Liu Zhengfeng Wang Xiaohong |
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| Institution: | Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | In the pioneer work of Rubinstein and Barton, the Yakhot-Orszag renormalization group (RNG) method for turbulence was applied to analyze the pressure-gradient-velocity correlations and the return to isotropy term in the Reynolds stress transport equation. In this paper, it is pointed out that there are some inconsistent problems and some errors in their calculations. Based upon our previous work, we have systematically derived the second-moment closures. The theoretical turbulent constants are quite close to the empirical values. |
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| Keywords: | turbulence model Reynolds stress transport equation second-moment closures computational fluid dynamics renormalization group |
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