Numerical synthesis of trivariate velocity realizations of turbulence (Q579076)

An approach is presented for synthesizing trivariate turbulence velocity field spatial realizations which are useful in nonlinear mechanics applications. Some of the spatial frequency characteristics of the random velocity field are described by the Von Kármán spectrum. The simulation algorithm is based on an efficient autoregressive-moving average (ARMA) scheme involving coefficient square matrices of order three. The determination of the efficient low order ARMA algorithm is preceded by the determination of a suitable high order autoregressive simulation algorithm. The numerical results are presented in a dimensionless form. Thus, they are applicable for any scale of turbulence.