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基于双加权POD的建筑物风压场重构

张昊 杨雄伟 李明水

张昊,杨雄伟,李明水. 基于双加权POD的建筑物风压场重构[J]. 实验流体力学,2022,36(X):1-9 doi: 10.11729/syltlx20210146
引用本文: 张昊,杨雄伟,李明水. 基于双加权POD的建筑物风压场重构[J]. 实验流体力学,2022,36(X):1-9 doi: 10.11729/syltlx20210146
ZHANG H,YANG X W,LI M S. A bi-weighted-POD and its application on wind pressure field[J]. Journal of Experiments in Fluid Mechanics, 2022,36(X):1-9. doi: 10.11729/syltlx20210146
Citation: ZHANG H,YANG X W,LI M S. A bi-weighted-POD and its application on wind pressure field[J]. Journal of Experiments in Fluid Mechanics, 2022,36(X):1-9. doi: 10.11729/syltlx20210146

基于双加权POD的建筑物风压场重构

doi: 10.11729/syltlx20210146
基金项目: 国家自然科学基金(51878580)
详细信息
    作者简介:

    张昊:(1994—),男,四川成都人,硕士研究生。研究方向:结构风工程。通信地址:四川省成都市金牛区二环路北一段111号西南交通大学九里校区土木工程学院(610031)。E-mail:Jetzhang_chengdu@163.com

    通讯作者:

    E-mail:lms_rcwe@126.com

  • 中图分类号: TU312+.1

A bi-weighted-POD and its application on wind pressure field

  • 摘要: 本征正交分解法(Proper Orthogonal Decomposition,POD)是一种基于2阶统计量的降阶方法,它通过寻找一组正交单位基使得随机场在新坐标下能有更加简洁的描述。本文提出了面积和均方根双加权POD,并将其应用于建筑物风压场重构。首先,从均方值角度对POD进行推导,证明POD是均方值意义上的最佳展开方式;然后,在新的推导框架下对POD进行双加权优化,使之能够较好地捕捉风压场中能量较低的相干结构;最后,对5∶1矩形风压场进行重构,初步验证了双加权POD的可行性。结果表明:双加权POD可以较好地重构5∶1矩形风压场,重构风压场在各空间点的重构精度一致,且能够基本还原所有空间点的时程与功率谱密度。与面积加权的POD相比,双加权POD能够显著提升风压场低能量区域的降阶模型重构精度。
  • 图  1  风洞中的测压模型

    Figure  1.  Building model layout

    图  2  测压孔布置

    Figure  2.  Geometry of building model and pressure tap locations

    图  3  各测点平均风压系数与脉动风压系数

    Figure  3.  Distribution of mean and fluctuating pressure coefficients on building model

    图  4  修正前后的前6阶空间POD模态

    Figure  4.  1st – 6th spatial modes with and without spatial adjustments

    图  5  加权前后模态能量累积比

    Figure  5.  Cumulative proportion of mode energy with and without weighting

    图  6  前11阶模态驻点、分离点、再附点的POD重构

    Figure  6.  11-order ROM of Stationary point, separation point and reattachment point

    图  7  双加权与面积加权POD前11阶模态重构的整体效果

    Figure  7.  11-order ROM accuracy, with and without weighting

    图  8  双加权及面积加权POD时间模态的模态系数

    Figure  8.  Mode coefficients of temporal modes with and without weighting

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出版历程
  • 收稿日期:  2021-10-20
  • 录用日期:  2022-03-30
  • 修回日期:  2022-03-28
  • 网络出版日期:  2022-05-24

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