Synthesis of homogeneous anisotropic turbulent fields with prescribed second-order statistics by the random spots method

The problem of synthesis of homogeneous anisotropic turbulent fields with prescribed autocorrelation functions is solved using the method of random spots method (Commun. Numer Meth. Engng 2007; 23:35-43). Every spot has an inner distribution f of a velocity component. The resulting velocity field is found as a sum of contributions from all spots. The inner distribution f is found from the condition that the resulting field has the prescribed statistical properties. The paper presents analytical solutions for f in the case of homogeneous turbulent fields. A numerical solution for the inhomogeneous case is discussed in (Commun. Numer Meth. Engng 2007; 23:35-43). Copyright (C) 2007 John Wiley & Sons, Ltd.