Investigation on Fluidelastic Instability of Square Tube Bundle Based on Dynamic Mode Decomposition Method
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摘要: 针对目前流体弹性不稳定性研究主要依赖宏观响应，缺乏从更本质层面判定稳定性技术手段的问题，以正方形排列管束为研究对象，首先，在已建立的三维流固耦合数值模型的基础上，获得了各管的振动响应与流体力特性，研究了管束的宏观响应特性；其次，引入动态模态分解（DMD）方法对流固耦合系统进行降阶分解与重构预测，进而从宏观响应和DMD模态2个层面研究了管束的流体弹性不稳定性。结果表明，DMD方法不仅可以实现对流场动力学特征的快速重构及预测，还可以准确提取不稳定流场的主导模态和频率，并能判断所提取模态的稳定性，与宏观响应相互应证，能更全面地反映系统的稳定性。
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关键词:
- 流体弹性不稳定性 /
- 流固耦合 /
- 管束 /
- 动态模态分解(DMD)
Abstract: The current study of fluidelastic instability mainly depends on macro-response, and there is no technical means to judge stability from a more essential level. In this study, the square tube bundle is taken as the object. Firstly, based on the three-dimensional fluid-structure interaction analysis model, the vibration response and fluid force characteristics of each tube are obtained, and the macroscopic response characteristics of the tube bundle are studied. Secondly, the dynamic mode decomposition (DMD) method is introduced to decompose and reconstruct the fluid-structure interaction system, and then the fluidelastic instability of the tube bundle is studied from the two aspects of macro response and DMD mode. The results show that DMD method can not only realize the rapid reconstruction and prediction of the dynamic characteristics of the flow field, but also accurately extract the dominant modes and frequencies of the unstable flow field, and judge the stability of the extracted modes. Combining with the macro response, this method can reflect the stability of the system more comprehensively. -
图 1 正方形排列管束的流场区域及网格示意图
Figure 1. Schematic Diagram of Flow Field Area and Mesh of Square Tube Bundle
图 3 振动响应的计算值与实验值对比
Figure 3. Comparison between Calculated and Experimental Values of Vibration Response
图 9 DMD不同模态数量预测结果与CFD计算值的相对误差
Figure 9. Relative Error between Predicted Results with Different DMD Modes and Calculated Values of CFD
图 10 失稳前后DMD特征值(λ)的实部和虚部在单位圆上的分布
Figure 10. Real and Imaginary Parts of DMD Eigenvalues λ on Unit Circle before and after Instability
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