| 基于小关联时间两相湍流色噪声的近似模型及数值模拟 |
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| 引用本文： | 李昭祥,徐江荣,杨忠华.基于小关联时间两相湍流色噪声的近似模型及数值模拟[J].计算物理,2007,24(4):413-418. |
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| 作者姓名： | 李昭祥 徐江荣 杨忠华 |
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| 作者单位： | 1. 上海师范大学数理信息学院,上海,200234
2. 杭州电子科技大学理学院,浙江,杭州,310018 |
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| 基金项目： | 国家自然科学基金
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上海市教委资助项目
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浙江省自然科学基金 |
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| 摘 要： | 从一般高斯型色噪声模型出发,通过泛函导数,应用小关联时间,近似计算多维色噪声,得到有效Fokker-Planck方程.将其应用到两相湍流中得到颗粒相的概率密度函数输运方程,从而得到颗粒相的二阶矩模型.将颗粒应力方程简化成代数方程,建立代数应力模型.将对流扩散方程的有限分析法运用到求解两相流模型中,对壁面两相射流进行数值模拟,并将求解结果与实验结果进行对比分析.
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| 关 键 词： | 泛函导数 两相流动 二阶矩模型 数值模拟 关联时间 两相湍流 色噪声 近似模型 数值模拟 Simulation Turbulent Flows Method Colored Noise Time Correlation 有限分析法 实验 结果 两相射流 壁面 两相流模型 求解 运用 流扩散方程 |
| 文章编号： | 1001-246X（2007）04-0413-06 |
| 收稿时间： | 2006-06-26 |
| 修稿时间： | 2006-06-262006-12-20 |
Small Correlation Time Colored Noise Method for Two-phase Turbulent Flows and Simulation of Wall-jet-flow |
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| LI Zhaoxiang,XU Jiangrong,YANG Zhonghua.Small Correlation Time Colored Noise Method for Two-phase Turbulent Flows and Simulation of Wall-jet-flow[J].Chinese Journal of Computational Physics,2007,24(4):413-418. |
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| Authors: | LI Zhaoxiang XU Jiangrong YANG Zhonghua |
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| Institution: | 1. Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China ; 2. The School of Science, Hangzhou Dianzi University, Hangzhou 310018, China |
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| Abstract: | Based on a colored noise model with general Gaussian process,by functional derivation and small correlation time expansion,high-dimensional colored noises are calculated approximately and an effective Fokker-Planck equation(FPE) is derived.The effective FPE is applied to obtain probability density function transport equations of particles in two-phase flows and a second order moment model of two-phase flows.It is simplified into an algebra stress model(ASM).The finite analytic numerical method used in convective diffusion equation is applied to the second-order moment model.A wall-jetflow loaded with solid particles is calculated with ASM and finite analytic numerical method.Numerical results are compared with experimental results. |
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| Keywords: | functional derivation g two-phase turbulence flow g second order moment model g numerical simulation |
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