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Supercomputer Simulation of Hydrobiological Processes of Coastal Systems

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Mathematical Models and Computer Simulations Aims and scope

Abstract

This paper discusses supercomputer modeling of the dynamics of plankton populations, including phyto- and zooplankton, in coastal systems. The mathematical model of the dynamics of plankton populations includes a system of convection-diffusion-reaction equations with nonlinear terms, which makes it possible to study the mechanism of external hormonal regulation based on the scenario approach. The proposed mathematical 3D model is linearized, discretized, and based on coordinate splitting, a chain consisting of two-dimensional and one-dimensional problems is obtained. For the numerical implementation of the proposed mathematical model of hydrobiology of the coastal system in the form of a software module (SM), a multiprocessor computer system (MCS) designed for massively parallel computing is used; its use makes it possible to significantly reduce the running time of the SM. To improve the accuracy of calculations, a procedure is used to refine the solution on a sequence of condensing uniform rectangular grids. The effect of the mechanism of ectocrine regulation and the mode of intake of biogenic substances on the production and destruction processes of plankton is studied. The mathematical model includes a nonlinear dependence used to describe the growth rate of algae cells on the concentration of the metabolite, which made it possible to describe the ability of algae excretion products to control their growth even under conditions of the massive intake of pollutants. The approach used corresponds to modern ideas about the functioning of hydrobiocenosis. Based on the developed software toolkit, focused on the supercomputer, not only direct trophic interactions but also the actions of the products of the vital activity of individuals, which are mediated–chemical interactions, are studied.

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Notes

  1. Hydrobionts are organisms adapted to living in the aquatic environment.

  2. Benthos is the common name for organisms living in the bottom areas of water bodies.

  3. A metabolite is a waste product of an organism.

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Funding

This study was supported by the Russian Science Foundation (grant no. 21-71-20050). The calculations were carried out using a K60 hybrid supercomputer installed at the Supercomputer Center for shared use of the Keldysh Institute of Applied Mathematics, Russian Academy of Sciences.

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Authors and Affiliations

  1. Don State Technical University, Rostov-on-Don, Russia

    A. I. Sukhinov, A. V. Nikitina, A. M. Atayan, V. N. Litvinov, Yu. V. Belova & A. E. Chistyakov

  2. Azov-Black Sea Engineering Institute of the Donskoy GAU, Zernograd, Rostov oblast, Russia

    V. N. Litvinov

Authors
  1. A. I. Sukhinov
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  2. A. V. Nikitina
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  3. A. M. Atayan
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  4. V. N. Litvinov
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  5. Yu. V. Belova
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  6. A. E. Chistyakov
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Corresponding authors

Correspondence to A. I. Sukhinov, A. V. Nikitina, A. M. Atayan, V. N. Litvinov, Yu. V. Belova or A. E. Chistyakov.

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Sukhinov, A.I., Nikitina, A.V., Atayan, A.M. et al. Supercomputer Simulation of Hydrobiological Processes of Coastal Systems. Math Models Comput Simul 14, 677–690 (2022). https://doi.org/10.1134/S2070048222040123

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  • DOI: https://doi.org/10.1134/S2070048222040123

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