Optimization of Parallel Computations for Modeling Water Purification Processes by Electromagnetic Method

Computer simulations are widely used in science and engineering to evaluate models, as a partial substitute to real-world experiments. Especially, it is required to complex technological process modelling. However, in this case, the application of computer simulation technologies often leads to high computational cost. The solution of this problem is using high-performance computing equipment and effective parallel algorithms. In this paper, the problem of computer modeling of water purification processes by electromagnetic method with the help of modern high-performance computing systems with modern architecture is considered. The challenge is discussed for three-dimensional calculation of the flow of an aqueous medium in a cleaning tank of real geometry. As a mathematical model of the motion of the aquatic environment, we chose the Navier-Stokes equations under conditions of fluid incompressibility and isothermal purification process. For this model, we proposed an original numerical algorithm using prismatic grids. This algorithm was parallelized and implemented as a code for supercomputers with central and vector processors. Within the testing of the developed software, the convergence of the numerical algorithm and optimization of the parallelization scheme were carried out. To increase the efficiency of parallelization, dynamic load balancing of the calculators was implemented. The analysis of the obtained results confirmed the advantages of the proposed approach to solving the problems of modeling the processes of water purification by an electromagnetic method.