Modeling of production and destruction processes in coastal systems on a supercomputer

¹ Don State Technical University, Rostov-on-Don, Russia
² Southern Federal University, Rostov-on-Don, Russia
³ Azov-and-Black Sea engineering institute FSBHEEPT «Donskoy state agrarian university», Zernograd, Russia
⁴ Supercomputers and Neurocomputers Research Center, Co. Ltd., Taganrog, Russia

^* Corresponding author: nikitina.vm@gmail.com

Abstract

The paper covers the development and research mathematical model of production and destruction processes in coastal system, based on the modern information technologies and computational methods to improve the accuracy of predictive modelling the ecological situations in waters during the summer. The model takes into account following: the movement of water flow; microturbulent diffusion; gravitational settling of pollutants; nonlinear interaction of plankton populations; the impact of salinity, temperature, as well as the pollution entrance and deposition from river flows and air. The scheme with weights was proposed for discretization of the developed model, that allowed significantly reduce the error and the computational time. Practical significance of the work is that the proposed model was software implemented; the limits and prospects of its use were defined. On the basis of a supercomputer, the experimental software was designed for mathematical modelling of possible development scenarios of the ecosystems of coastal waters on the example of the Azov Sea in the summer period, taking into account the influence of environment. Parallel implementation was performed using the decomposition methods for computationally labours diffusion-convection problems taking into account the architecture and parameters of multiprocessor computer system.