Simulation of a stochastic wind field based on a continuous proper orthogonal decomposition-random function approach

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (7) : 32-37.

LIU Zhangjun1,2， LIU Zenghui1,2

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Abstract

Based on a continuous proper orthogonal decomposition (POD) of time-spatial stochastic fields, a hybrid continuous POD-random function approach for simulation of time-space stochastic fields was proposed by introducing random function expression forms of orthogonal random variable sets. Utilizing the continuous POD technique based on the cross power spectral density function (CPSDF), a stochastic field was expressed as a superposition of finite lower order proper modes to realize the order reduction treatment of the original stochastic field. With the random function expression for orthogonal random variable sets, an original stochastic field was accurately described in the second order statistical meaning using only two basic random variables. It was shown that the number of basic random variables in the proposed approach is the minimum compared with that in the classical POD approach; all representative time histories of fluctuating wind velocity obtained construct a complete probability set. Lastly, taking Kaimal fluctuating wind velocity spectrum as an example, a stochastic wind field in horizontal direction was simulated and analyzed to verify the higher accuracy of the proposed approach.

Key words

stochastic wind field / cross-power spectral density function / proper orthogonal decomposition / random function / dimension reduction / simulation

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LIU Zhangjun1,2， LIU Zenghui1,2. Simulation of a stochastic wind field based on a continuous proper orthogonal decomposition-random function approach[J]. Journal of Vibration and Shock, 2018, 37(7): 32-37

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