Abstract:

In order to improve the efficiency of the conventional wave superposition method in simulating the multivariable stochastic wind fields , an optimized recursive algorithm is employed to conduct the Cholesky factorization by blocking the cross-spectral density function matrix into several sub-matrices , and a matrix multiplication algorithm is introduced to replace the harrnonic superposition process of the conventional method. Thus , the number of
the elements for the factorization in the cross-spectral density matrix is reduced and the Cholesky factorization and the wind field synthesis are speeded up. The engineering practice indicates that the proposed optimized algorithm remarkably saves the simulation time and improves the simulation efficiency.

Key words: stochastic wind field, optimization, algorithm, numerical simulation, matrix blocking