Simulation of Homogeneous Fluctuating Wind Field in Two Spatial Dimensions via a Joint Wave Number–Frequency Power Spectrum

Abstract

Simulation of fluctuating wind-speed fields is a critical task in determining the wind loads for wind-resistant design of high-rise buildings, long-span bridges, and large-size flexible structural systems such as latticed shells and wind turbines. Due to its simple algorithmic and rigorous theoretical basis, the spectral representation method (SRM) is a widely used simulation tool in practice. However, it may often exhibit low efficiency in its traditional procedure due to the involvement of decomposition of the cross-power spectrum density (PSD) matrix at each discretized frequency. Circumventing this challenge, a joint wave number–frequency power spectrum-based SRM associated with a one-spatial-dimension wind field was proposed recently, allowing an accurate simulation without the Cholesky decomposition. In this paper, the extension of SRM to wind fields in two spatial dimensions is done. Further, to reduce the computational costs associated with the threefold summation over one-dimensional frequency domain and two-dimensional wave-number domain, uneven discretization techniques by tensor-product and acceptance-rejection method are developed. Numerical examples relating to the simulation of fluctuating wind-speed fields in one spatial dimension and two spatial dimensions are included, showing the effectiveness of the proposed method.