THREE-DIMENSIONAL NUMERICAL SIMULATION OF SPATIAL-CORRELATED STOCHASTIC WIND FIELD BASED ON DOUBLE POD MODEL

The mathematical models of stochastic processes for a spatial-correlated wind velocity field has been proposed. The proper orthogonal decomposition (POD) technique offers an efficient and accurate tool to simulate the fluctuating components of the wind field. Using Schur decomposition method, the power spectral density matrix can be expressed by a series of eigenvalues and eigenvectors. It is recognized that only a small number of eigenmodes corresponding to eigenvalues with larger magnitudes are dominant. In the practical, it can ignore some of the higher eigenmodes associated with smaller eigenvalues. Based on the double POD model and Monte Carlo framework, a very efficient simulation scheme for the three correlated turbulence components is proposed. The simulation procedure is applied to a high transmission tower and the results show out that the procedure presented in the paper can be an accurate and effective method to simulate the stochastic wind field which has time and space correlativity. The method can also be used in some other structures such as large-span spatial structures, high-rise buildings, long-span bridges, and so on.