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论文:2015,Vol:33,Issue(4):596-602 |
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引用本文： |
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李静, 张伟伟, 李新涛. 失稳初期的低雷诺数圆柱绕流POD-Galerkin建模方法研究[J]. 西北工业大学学报 |
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Li Jing, Zhang Weiwei, Li Xintao. Researching Method of Building Flow Field of Initial Development Stage of Low Reynolds Number Flow past a Circular Cylinder[J]. Northwestern polytechnical university |
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| 失稳初期的低雷诺数圆柱绕流POD-Galerkin建模方法研究 |
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| 李静, 张伟伟, 李新涛 |
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| 西北工业大学 航空学院, 陕西 西安 710072 |
| 摘要: |
| POD-Galerkin方法是构建非定常流动低阶模型的有效方法。然而,研究表明基于周期振荡样本及其时均解构建的低阶模型只能反演流场振荡饱和后的周期性运动,不能复现流动从不稳定定常解开始振荡的发散过程,不便于流动的稳定性分析和控制研究。通过尝试选择流场进入周期性运动之前的样本来构建低阶的流体动力学模型,并用于反演流动失稳初期微幅振荡的流场。以低雷诺数(Re=100)下圆柱绕流为例,构建了卡门涡街失稳初期的流动降阶模型。通过与CFD数值结果对比,表明选择合适的样本数据,构建的低阶模型可以复现流场发散初期的频率和阻尼等特性。 |
| 关键词:
特征正交分解
Galerkin投影
圆柱绕流
卡门涡街
非周期运动
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| Researching Method of Building Flow Field of Initial Development Stage of Low Reynolds Number Flow past a Circular Cylinder |
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| Li Jing, Zhang Weiwei, Li Xintao |
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| College of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| POD-Galerkin method is an effective way to build low-dimensional models for unsteady flows. However, studies have shown that low-dimensional models, based on snapshots of periodic oscillations and the time averaged solutions, can only rebuild the flow field of saturated periodic oscillating state, but iftcannot rebuild the divergence process of the flow from unstable steady solution to final unsteady saturated oscillation state. So it is inconvenient for stability analysis of the flow and for the controller design in future research. In this paper, we attempt to found low-dimensional dynamics modelsby using the snapshots of the fluid before entering the cyclical movement. And then we use this model to rebuild the flow field of the initial development stage with small oscillating amplitude.We take the flow past a circular cylinder at a low Reynolds number of 100 as an example to build a low-dimensional model for the initial instable stage of Karman vortex street. It is shown that, by choosing appropriate snapshots, the reduced-order model can rebuild some characteristics of the initial divergence regime of the flow, such as frequency and damping characteristics. This study, we believe, establishes a good foundation for the fluid-structure coupling analysis and flow instability control in future research. |
| Key words:
computational fluid dynamics
controllers
design
drag coefficient
eigenvalues and eigenfunctions
efficiency
finite volume method
flow fields
fluid structure interaction
Galerkin methods
mathematical models
matrix algebra
mean square error
Navier Stokes equations
pressure distribution
Reynolds number
Runge Kutta methods
stability
unsteady flow
velocity distribution
aperiodic movement
circular cylinder flow
Galerkin projection
Karman vortex street
POD(proper orthogonal decomposition)
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| 收稿日期: 2015-03-24
修回日期:
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| DOI: |
| 基金项目: 2013教育部"新世纪优秀人才支持计划"及国家自然科学基金(11172237)资助 |
| 通讯作者:
Email： |
| 作者简介: 李静(1990—),女,西北工业大学硕士研究生,主要从事流场降阶和建模研究。
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| 作者相关文章 |
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| 李静 在本刊中的所有文章 |
| 张伟伟 在本刊中的所有文章 |
| 李新涛 在本刊中的所有文章 |
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