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Application of Supercomputing Technologies for Numerical Implementation of an Interaction Graph Model of Natural and Technogenic Factors in Shallow Water Productivity

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Supercomputing (RuSCDays 2020)

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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References

  1. Riznichenko, G.Y.: Mathematical models in biophisics and ecology. Izhevsk, p. 183 (2003)

    Google Scholar 

  2. Matishov, G.G., Ilyichev, V.G.: On optimal exploitation of water resources. The concept of internal prices. Rep. Acad. Sci. 406(2), 249–251 (2006). (in Russian)

    Google Scholar 

  3. Tyutyunov, Y.V., Titova, L.I., Senina, I.N.: Prey-taxis destabilizes homogeneous stationary state in spatial Gause-Kolmogorov-type model for predator-prey system. Ecol. Complex. 31, 170–180 (2017). https://doi.org/10.1016/j.ecocom.2017.07.001

    Article  Google Scholar 

  4. Gushchin, V.A., Sukhinov, A.I., Nikitina, A.V., Chistyakov, A.E., Semenyakina, A.A.: A model of transport and transformation of biogenic elements in the coastal system and its numerical implementation. Comput. Math. Math. Phys. 58(8), 1316–1333 (2018). https://doi.org/10.1134/S0965542518080092

    Article  MathSciNet  MATH  Google Scholar 

  5. Avdeeva, Z.K., Kovriga, S.V., Makarenko, D.I., Maksimov, V.I.: Cognitive approach in the control science. Probl. Manag. 3, 2–8 (2007). (in Russian)

    Google Scholar 

  6. Perevarukha, A.Y.: Graph model of interaction of anthropogenic and biotic factors for the productivity of the Caspian Sea. Vestnik SamSU. Nat. Sci. Ser. 10(132), 181–198 (2015)

    Google Scholar 

  7. Sukhinov, A.I., Chistyakov, A.E., Shishenya, A.V., Timofeeva, E.F.: Predictive modeling of coastal hydrophysical processes in multiple-processor systems based on explicit schemes. Math. Models Comput. Simul. 10(5), 648–658 (2018). https://doi.org/10.1134/S2070048218050125

    Article  MATH  Google Scholar 

  8. Marchuk, G.I., Sarkisyan, A.S.: Mathematical modelling of ocean circulation. Science, p. 297 (1988)

    Google Scholar 

  9. Konovalov, A.N.: The theory of alternating-triangular iterative method. Siberian Math. J. 43(3), 552–572 (2002). (in Russian)

    Article  MathSciNet  Google Scholar 

  10. Gergel, V.P.: High-Performance Computing for Multiprocessor Multicore Systems, p. 544. Publishing house of Moscow University, Moskow (2010). (in Russian)

    Google Scholar 

  11. Voevodin, V.V., Voevodin, V.B.: Parallel computing. SPB. BHV-Petersburg, p. 608 (2002). (in Russian)

    Google Scholar 

  12. Parallel programming and the TPL library. https://metanit.com/sharp/tutorial/12.1.php

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Acknowledgement

The reported study was funded by RFBR, project number 19–31-51017.

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Correspondence to Alla Nikitina .

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Sukhinov, A., Nikitina, A., Chistyakov, A., Filina, A., Litvinov, V. (2020). Application of Supercomputing Technologies for Numerical Implementation of an Interaction Graph Model of Natural and Technogenic Factors in Shallow Water Productivity. In: Voevodin, V., Sobolev, S. (eds) Supercomputing. RuSCDays 2020. Communications in Computer and Information Science, vol 1331. Springer, Cham. https://doi.org/10.1007/978-3-030-64616-5_15

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  • DOI: https://doi.org/10.1007/978-3-030-64616-5_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-64615-8

  • Online ISBN: 978-3-030-64616-5

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