Simulation of multidimensional wind fluctuations having any arbitrary power spectra and cross spectra

when the power spectra and the cross spectra of wind fluctuations at many points are specified, the simulations of wind fluctuations are carried out by Lie method presented by Akeikc (1972). The method k makes ase of the multldimensiolal auteregregressive processes, Typical examples con-sidered here are the simulation of simear flow in the vertical direction in the almospheric boundary layer and tile simulation of two-dunensional homeogencons flow atamany points along the horizonial straight line perpendicular to the mean wind direction. The experimertal euuarions given by Davenport (1961), Hine (1971), Shirotani and Iwaiani (1971, 1979) and Iwatoni (1977) are adopted as the present medels of the shenn flow and the homogenecus flow. It is confirmed that both the power spectra and the crese spectra (coherence and phase) of the simu ated wind fluctuations are in very good agreement with the specitied ones as the models and that the frequency distributions of the similated wind fluclaations oecome the Caussiar. It is possible to make use of the simulated ones for practical applic atens. The programs for the above sinulations are listed to FORTRAN language.