High productivity numerical computations for gas dynamics modelling based on DFT and approximation

In article questions of high productivity numerical computations for gas dynamics modelling based on discrete Fourier transform and approximation are considered. The offered method is based on use of piecewise and analytical approximation of the equations of dynamics of gas and application of discrete transformations of Fourier. It allows to increase the accuracy of calculations and to increase the speed of convergence of the solution of the equations in space of three dimensions and in time. The iterative scheme of calculations is offered. Speed of convergence and an error of approximation is estimated. The possibility of approximation is considered by various approximating kernels. The computing algorithm was developed for fast calculation of a stream of gas and heat conductivity in the reactor of a vapor-phase epitaxy for crystal growth on computing systems of small productivity.