Simulation of Three-Dimensional Turbulent Velocity Fields

Abstract

New algorithms for the simulation of three-dimensional homogeneous turbulent velocity fields are compared with standard spectral domain algorithms. Results are presented for a von Kármán model of the covariance tensor. For typical atmospheric conditions, it is impossible to produce a simulated velocity field that simultaneously satisfies a given spatial correlation and the corresponding spatial spectrum, because of spectral aliasing. The goal of the new algorithms is to produce a turbulent velocity field that has accurate spatial correlations. The algorithms are a modification of the standard spectral domain method that attempts to produce a given spatial spectrum.