Investigation of Parallel Algorithms for Solving Problems of Convection Diffusion on the Basis of Splitting Schemes

摘要

For solving of three-dimensional nonstationary equation of convective diffusion an approach on the basis of technique of geometrical splitting with further solving of the obtained one-dimensional problems by means of difference schemes of running computation is suggested. For the suggested difference schemes of splitting the questions of approximation, stability and monotony are investigated. Three schemes of data distribution on implementation of running computations algorithms on cluster systems are considered. Theoretical estimates of their rate are obtained, which were compared with results of numerical experiments.