Coherency matrix-based proper orthogonal decomposition with application to wind field simulation |
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| Authors: | Liang Hu Li Li Jian Fan Qinhan Fang |
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| Institution: | School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China |
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| Abstract: | Proper Orthogonal Decomposition (POD) provides a powerful modal transformation tool for stochastic dynamics. In this paper, coherency matrix-based proper orthogonal decomposition (CPOD) is presented as an innovative form of the POD based on cross power spectral density matrices. By introducing a discretizing scheme, the CPOD-based spectral representation method is obtained for use in stochastic simulation. Moreover, some criteria are proposed that allow the truncation order of CPOD to be conveniently determined. A numerical example to illustrate the application of the proposed method for the simulation of a wind velocity field is provided. |
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| Keywords: | Proper Orthogonal Decomposition coherency matrices order determination criteria wind field simulation |
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