Numerical simulation of a special class of non-homogeneous Gaussian fields

We consider an algorithm for the stochastic simulation of the Gaussian three-dimensional fields with a discrete argument and with regard the dependence of horizontal correlation functions on the vertical coordinate. The area for uses for the algorithm in question for a specific class of correlation functions of the horizontal fields is investigated. Some examples of application of the algorithm for simulation of the three-dimensional air temperature in the atmosphere fields are given with regard for the real dependence of the horizontal correlations on altitude.