SOLVING OF THE BIOLOGICAL KINETICS PROBLEM ON A HETEROGENEOUS MULTIPROCESSOR COMPUTER SYSTEM

Y. V. Belova, A. M. Atayan, V. N. Litvinov, A. E. Chistyakov, E. O. Rakhimbaeva, A. V. Nikitina

Abstract


The process of solving the problem of biological kinetics, which reduces to the numerical solution of the three-dimensional diffusion-convection equation, is described. The solution of the grid equations obtained as a result of the continuous model discretization is performed on the basis of the adaptive alternating-triangular method. The problem under consideration was numerically implemented on a distributed memory computing system designed for massively parallel computing, which significantly reduced the operating time of the software module. The study of the parallel calculations model on the GPU for a sequence of thickening grids with a different number of threads allowed us to develop the optimal mode of operation of parallel algorithms with a different amount of input data. A description of the software implementation of a mathematical model adapted for hybrid computer systems is given.


Keywords


mathematical modeling; explicit-implicit difference scheme; approximation error; computational domain decomposition; distributed memory computing system.

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