Application of Proper Orthogonal Decomposition Method in Wind Field Simulation for Roof Structures

The weighted-amplitude wave superposition method and the proper orthogonal decomposition (POD) technique are first introduced. Then the POD technique combined with a wind field reconstruction method for a flat roof is studied. In the meantime, wind field extension using B-spline interpolation and the wind field reconstruction are verified. On this basis, a three-step simulation algorithm to generate wind field is presented for roof structures. In the proposed algorithm, the weighted-amplitude wave superposition method, the POD technique, and the B-spline interpolation technique are combined together. In contrast to the existing algorithms in frequency-domain-based simulation, the proposed one can reduce the computation cost remarkably. In order to demonstrate the capability and efficiency of the proposed algorithm, an engineering example, the wind field simulation for a large-scale roof of the Foshan Century Lotus Stadium, is illustrated. The results show that the proposed algorithm is very efficient with sufficient precision. Therefore, it is advantageous in wind resistance analysis for large-scale roofs.