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

ZHANG Hao; YANG Xiongwei; LI Mingshui

doi:10.11729/syltlx20210146

Volume 37 Issue 6

Dec. 2023

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Article Navigation > Journal of Experiments in Fluid Mechanics > 2023 > 37(6): 25-33

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, 2023, 37(6): 25-33 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, 2023, 37(6): 25-33 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, 2023, 37(6): 25-33 doi: 10.11729/syltlx20210146

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

doi: 10.11729/syltlx20210146

ZHANG Hao^{1, 2
,},
YANG Xiongwei^{1, 2},
LI Mingshui^{1, 2
,
,}

1.
Research Centre for Wind Engineering, Southwest Jiaotong University, Chengdu　610031, China
2.
Key Laboratory for Wind Engineering of Sichuan Province, Chengdu　610031, China

Received Date: 2021-10-20
Accepted Date: 2022-03-30
Rev Recd Date: 2022-03-28

Available Online: 2022-05-24

Publish Date: 2023-12-30

Abstract

Abstract

Proper Orthogonal Decomposition (POD) is a reduced order modeling (ROM) method based on 2nd-order statics, which simplifies the investigated wind-pressure field in a new coordinate system formed by a set of orthonormal basis. This paper suggests a method of bi-weighted POD (which weights POD by area and at the same time by root-mean-square), and applies this method to the modal reduction of pressure field around buildings. Firstly, we introduce the POD expansion in a mean-square method, which demonstrates that POD is the optimal choice of ROM in the mean-square sense. Furthermore, we modify the original POD by the bi-weighting-method to improve its capacity of identifying coherent structures with lower energy in pressure field. For the last part, the validity of bi-weighted POD is roughly examined by a case study which applies the method to the pressure field of a 5∶1 rectangular cylinder. It turns out that the modified POD method improves the ROM accuracy at the area associated with lower energy in a significant way. In the meantime, a wind-pressure field ROM constructed by bi-weighted POD captures vital information provided by the original wind-pressure field and is spatially accuracy-consistent.
- Proper Orthogonal Decomposition,
- Bi-weighted POD,
- ROM of pressure field,
- 5∶1 rectangular cylinder

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References(19)

References

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