Simulation of non-stationary fluctuating wind velocity in downburst
LI Jin-hua,WU Chun-peng,CHEN Shui-sheng
1. Department of Civil Engineering, East China Jiaotong University, Nanchang 330013,China; 2. Department of Civil and Environmental Engineering, Hong Kong Polytechnic University, Hong Kong 999077, China
Abstract:Distinct from the atmospheric boundary layer wind, average wind speed of downburst has observable time-varying characteristics, and its fluctuating wind possesses strongly non-stationary characteristics. According to the evolutionary spectrum theory, to realize the effective simulation of non-stationary fluctuating wind needs to establish a non-uniform modulation function of the power spectrum, and an efficient simulation method of non-stationary wind speed. To do this, firstly in this paper the method to create Kaimal non-uniform modulation function is used to obtain other modulation functions of power spectra, such as Davenport, Simiu and Harris, which provide the precondition for simulating non-stationary fluctuating wind. Then, founded on the autoregressive (AR) model to further consider the time variability, a time-varying autoregressive (TAR) model is established, which provides an effectual method for non-stationary wind speed simulation. Finally, based on the precondition and method of the above, the non-stationary fluctuating wind speed in downburst is simulated with considering the time-varying features of average wind speed. The simulation results show: for the non-stationary fluctuating wind velocity of downburst, the cross-correlation weakens along with the distance increases between the different positions, and the amplitude increases with time-dependent average wind speed increases, which coincide with the actual wind field characteristics and indicate the effectiveness of non-uniform modulation function; the power spectrum has obvious time-varying characteristics which match well with the target time-varying spectrum, and the temporal average power spectrum and correlation function are also in agreement with the targets, which involve the efficiency of the method generating non-stationary fluctuating wind of downburst.