Abstract
The paper covers the research and numerical implementation of an graph model of natural and technogenic factors’ interaction in shallow water productivity. Based on it, the analysis of pulse propagation in computing environment from the vertices is performed in the context of research situation of valuable fish degradation of the Azov Sea that are subject to excessive commercial fishing withdrawal. The model takes into account the convective transport, microturbulent diffusion, taxis, catch, and the influence of spatial distribution of salinity, temperature and nutrients on changes in plankton and fish concentrations. Discrete analogue of proposed model problem of water ecology, included in software complex, were developed using schemes of second order of accuracy taking into account the partial filling of computational cells. The adaptive modified alternately triangular method was used for solving the system of grid equations of large dimension, arising at model discretization. Effective parallel algorithms were developed for numerical implementation of biological kinetics problem and oriented on multiprocessor computer system and NVIDIA Tesla K80 GPU with the data storage format modification. Due to it, the production processes of biocenose populations of shallow water were analyzed in real and accelerated time.
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