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Coherency matrix-based proper orthogonal decomposition with application to wind field simulationHu Liang (ºúÁÁ) , Li Li (ÀîÀè) , Fan Jian (·®½£) and Fang Qinhan (·½Çغº) School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China 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.
Keywords:
Proper Orthogonal Decomposition;
coherency matrices; order determination criteria; wind field simulation |
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