Algorithm for Solving Non-stationary Three-Dimensional Navier-Stokes Equations with Large Reynolds Numbers on Multiprocessor Systems

Abstract

In this article was constructed and implemented a new algorithm for solving the three-dimensional Navier - Stokes equation in common with question of inseparability in the Cartesian coordinate system. We describe the technique of decomposition, which used for paralleling problems of numerical simulation of turbulent flows. And we provide the dependence of obtained speed and the scalability coefficient from the number of processors and the size of the grid. We given measurements of productivity on the example of the problem of numerical simulation of turbulent flow on the basis of solutions of non-stationary Navier - Stokes equation in common with the question of inseparability in the Cartesian coordinate system $\left( {x_{1} ,\,x_{2} ,\,x_{3}} \right)$.