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Wind and Structures Volume 16, Number 5, May 2013 , pages 517-540 DOI: https://doi.org/10.12989/was.2013.16.5.517 |
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Understanding of unsteady pressure fields on prisms based on covariance and spectral proper orthogonal decompositions |
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Le Thai Hoa, Yukio Tamura, Masaru Matsumoto and Hiromichi Shirato
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| Abstract | ||
| This paper presents applications of proper orthogonal composition in both the time and frequency domains based on both cross spectral matrix and covariance matrix branches to analyze multi-variate unsteady pressure fields on prisms and to study spanwise and chordwise pressure distribution. Furthermore, modification of proper orthogonal decomposition is applied to a rectangular spanwise coherence matrix in order to investigate the spanwise correlation and coherence of the unsteady pressure fields. The unsteady pressure fields have been directly measured in wind tunnel tests on some typical prisms with slenderness ratios B/D=1, B/D=1 with a splitter plate in the wake, and B/D=5. Significance and contribution of the first covariance mode associated with the first principal coordinates as well as those of the first spectral eigenvalue and associated spectral mode are clarified by synthesis of the unsteady pressure fields and identification of intrinsic events inside the unsteady pressure fields. Spanwise coherence of the unsteady pressure fields has been mapped the first time ever for better understanding of their intrinsic characteristics. | ||
| Key Words | ||
| unsteady pressure; pressure distribution; spanwise correlation; spanwise coherence; coherence mapping; covariance proper orthogonal decomposition; spectral proper orthogonal decomposition | ||
| Address | ||
| Le Thai Hoa: Wind Engineering Research Center, Tokyo Polytechnic University,1583 Iiyama, Atsugi, Kanagawa 243-0297, Japan; Hanoi University of Engineering and Technology, Vietnam National University, Hanoi,144 Xuan Thuy,Cau Giay, Hanoi, Vietnam; Yukio Tamura: Department of Architectural Engineering, Tokyo Polytechnic University,1583 Iiyama, Atsugi, Kanagawa 243-0297, Japan; Masaru Matsumoto and Hiromichi Shirato: Department of Civil Engineering, Kyoto University, Kyoto-Daigaku-Katsura, Nishikyo, Kyoto 615-8530, Japan | ||