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Wind and Structures Volume 33, Number 1, July 2021 , pages 55-69 DOI: https://doi.org/10.12989/was.2021.33.1.055 |
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Fast simulation of large-scale non-stationary wind velocities based on adaptive interpolation reconstruction scheme |
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Hui Han, Chunxiang Li and Jinhua Li
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| Abstract | ||
| Spectral representation method (SRM) is the most classical one for the simulation of wind velocity. It is inefficiency when applied to large-scale non-stationary wind velocities with large simulation points. There are two reasons: numerous Cholesky decomposition and summation of Trigonometric terms. In order to improve the efficiency while ensuring accuracy, two aspects of work have been in this paper. (1) An adaptive interpolation-enhanced scheme is devised, which uses "average resolution" as the quantization index. This scheme can automatically realize the non-uniform distribution of interpolation points in two dimensions of time and frequency simultaneously, and improve the accuracy of interpolation. (2) The non-stationary wind velocities were reconstructed in time, frequency and space domain. Firstly, interpolation in time and frequency domain is directly applied to the H matrix, then proper orthogonal decomposition (POD) technology is introduced to decouple the wind velocities at spatial interpolation points, so as to obtain the time-dependent principal coordinates and space-dependent intrinsic mode function (IMF). Finally, IMF is reconstructed in the space domain to obtain the complete wind velocities. The above methodology is carried out to a super high-rise building containing 100 wind velocities simulation points and, results show that the proposed approach saves about 88% of the computational time compared with the classical SRM; saves about 47% of the computational time compared with the time-frequency interpolation based method. This paper achieves the rapid construction of large-scale non-stationary wind velocities. | ||
| Key Words | ||
| non-stationary; spectral representation method; proper orthogonal decomposition; Cholesky decomposition; time-frequency-space reconstruction; adaptive scheme | ||
| Address | ||
| Hui Han: Department of Civil Engineering, School of Mechanics and Engineering Science, Shanghai University,333 Nanchen Road, Shanghai 200444, China Chunxiang Li: Department of Civil Engineering, School of Mechanics and Engineering Science, Shanghai University,333 Nanchen Road, Shanghai 200444, China Jinhua Li: Department of Civil Engineering, East China Jiaotong University, Nanchang 330013, China | ||