Development of Second-Moment Closure of High Performance

高性能二阶矩闭合的开发

• 批准号: 13650173
• 负责人: SHIMA Nobuyuki
• 金额: $ 1.92万
• 依托单位: Shizuoka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13650173/
• 关键词: Turbulence model; Second-moment closure; Low-Reynolds-number model; 同心環内乱流; 系回転乱流; 非定常乱流

The purpose of this project is to develop a turbulence model which reproduces a wide range of turbulent flows by testing and refining a low-Reynolds-number second-moment closure without wall-reflection redistribution terms proposed by Shima, the head investigator of the project, in 1997.The second-moment closure (Model 97) has been tested in channel flows with spanwise, streamwise and wall-normal rotations, unsteady pipe flows, flows through concentric annuli, and periodically transpired channel flows. Direct numerical simulations (DNS) of the flows with system rotations and flows through concentric annuli have also been performed, and databases of these flows have been constructed. The model 97 reproduces the concentric annulus flows well, and also shows a clear superiority to eddy-viscosity models in the periodically transpired channel flows. In the unsteady pipe flows, however, the model gives less accurate response of turbulence to flow-rate variation than a Shima's previous model which includes wall-reflection terms. In the case of weak streamwise rotation, the predicted velocity profiles are in reasonable agreement with DNS data. At high rotation rates, however, the predicted sign of a shear stress component disagrees with that of DNS, leading to poor predictions of the velocity profiles. The wall-normal rotation leads to relaminarization of the flow when the rotation rate becomes high. Good predictions are obtained for weak rotation but the model gives relaminarization at a lower rotation number than DNS. As we have seen, the model 97 shows several weaknesses, though it is useful in many flows as a low-Reynolds-number second-moment closure without wall-reflection redistribution terms. Based on these results, we are developing a new model for higher performance.

该项目的目的是通过试验和改进该项目的首席研究员Shima于1997年提出的不含壁面反射重分布项的低雷诺数二阶矩闭合，建立一个能再现大范围湍流的湍流模型。该二阶矩闭合(模型97)已在具有展向、流向和壁法向旋转的槽道流动、非定常管流、同心环空流动和周期性倾斜的槽道流动中进行了试验。对系统旋转流动和同心环空流动进行了直接数值模拟，并建立了这些流动的数据库。97模型较好地再现了同心环空流动，在周期性蒸腾槽流中也表现出明显优于涡粘性模型。然而，在非定常管流中，该模型给出的湍流对流量变化的响应不如Shima的包含壁面反射项的以前的模型准确。在弱流向旋转的情况下，预测的速度分布与DNS数据吻合较好。然而，在高转速下，剪切应力分量的预测符号与dns的符号不一致，导致对速度剖面的预测不佳。当旋转速度变高时，壁法向旋转会导致流动的重新分层。对于弱旋转得到了很好的预测，但该模型在较低的旋转数下给出了再透明化。正如我们已经看到的，模型97显示了几个弱点，尽管它在许多流动中是有用的，作为没有壁面反射重分布项的低雷诺数二阶矩闭合。基于这些结果，我们正在开发一种新的模型，以实现更高的性能。

项目成果

M.Okamoto: "Numerical Prediction of Periodic Transpired Channel Flow with Low-Reynolds-Number Turbulence Models"Proc.3rd Int. Symp. on Advanced Energy Conversion Systems and Related Technologies. 2B7 (2001)

M.Okamoto：“用低雷诺数湍流模型对周期性蒸腾通道流进行数值预测”Proc.3rd Int。

島 信行: "スパン方向、流れ方向および壁垂直方向に回転するチャネル乱流の数値予測"日本機械学会論文集(B編). 69巻678号. 137-144 (2003)

Nobuyuki Shima：“跨度方向、流动方向和壁垂直方向旋转的通道湍流的数值预测”日本机械工程师学会会刊（编辑 B）第 69 卷，第 678 期。137-144（ 2003）

M.Okamoto: "Direct Numerical and Large Eddy Simulation of Turbulent Flows Through Concentric Annuli"Engineering Turbulence Modelling and Experiments. Vol.5. 219-228 (2002)

M.Okamoto：“通过同心环的湍流的直接数值和大涡模拟”工程湍流建模和实验。

島 信行: "数値流体力学ハンドブック、分担執筆:4.3節 応力方程式乱流モデル"丸善. 736 (2003)

Nobuyuki Shima：“计算流体动力学手册，贡献者：第 4.3 节应力方程湍流模型”Maruzen 736 (2003)。

M. Okamoto: "Numerical Prediction of Periodic Transpired Channel Flow with Low-Reynolds-Number Turbulence Models"Proc. 3rd Int. Symp. on Advanced Energy Conversion Systems and Related Technologies. 2B7. (2001)

M. Okamoto：“用低雷诺数湍流模型对周期性蒸腾通道流进行数值预测”Proc。