Abstract
The model of the algal bloom, causing suffocations in shallow waters takes into account the follows: the transport of water environment; microturbulent diffusion; gravitational sedimentation of pollutants and plankton; nonlinear interaction of plankton populations; biogenic, temperature and oxygen regimes; influence of salinity. The computational accuracy is significantly increased and computational time is decreased at using schemes of high order of accuracy for discretization of the model. The practical significance is the software implementation of the proposed model, the limits and prospects of it practical use are defined. Experimental software was developed based on multiprocessor computer system and intended for mathematical modeling of possible progress scenarios of shallow waters ecosystems on the example of the Azov Sea in the case of suffocation. We used decomposition methods of grid domains in parallel implementation for computationally laborious convection-diffusion problems, taking into account the architecture and parameters of multiprocessor computer system. The advantage of the developed software is also the use of hydrodynamical model including the motion equations in the three coordinate directions.
This paper was partially supported by the grant No. 17-11-01286 of the Russian Science Foundation, the program of fundamental researches of the Presidium of RAS No. 43 Fundamental problems of mathematical modeling, and partial financial support of RFFR for projects No. 15-01-08619, No. 15-07-08626, No. 15-07-08408.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Samarsky, A.A., Nikolaev, E.S.: Methods of Solving Grid Equations, p. 588. Science, Moscow (1978). (in Russian)
Sukhinov, A.I., Chistyakov, A.E.: Adaptive modified alternating triangular iterative method for solving grid equations with non-selfadjoint operator. Math. Model. 24(1), 3–20 (2012). (in Russian)
State Research Center Planeta. http://planet.iitp.ru/english/index_eng.htm
Samarskiy, A.A.: Theory of Difference Schemes. Nauka, Moscow (1989). (in Russian)
Konovalov, A.N.: The method of steepest descent with adaptive alternately-triangular preamplification. Differ. Equ. 40(7), 953 (2004). (in Russian)
Konovalov, A.N.: The theory of alternating-triangular iterative method. Siberian Math. J. 43(3), 552 (2002). (in Russian)
Sukhinov, A.I., Chistyakov, A.E., Shishenya, A.V.: Error estimate of the solution of the diffusion equation on the basis of the schemes with weights. Math. Model. 25(11), 53–64 (2013). (in Russian)
Sukhinov, A.I., Chistyakov, A.E., Semenyakina, A.A., Nikitina, A.V.: Parallel realization of the tasks of the transport of substances and recovery of the bottom surface on the basis of high-resolution schemes. Comput. Meth. Program. New Comput. Technol. 16(2), 256–267 (2015). (in Russian)
Chistyakov, A.E., Hachunts, D.S., Nikitina, A.V., Protsenko, E.A., Kuznetsova, I.: Parallel library of iterative methods of the SLAE solvers for problem of convection-diffusion-based decomposition in one spatial direction. Mod. Probl. Sci. Educ. 1(1), 1786 (2015). (in Russian)
Sukhinov, A.I., Nikitina, A.V., Semenyakina, A.A., Protsenko, E.A.: Complex programs and algorithms to calculate sediment transport and multi-component suspensions on a multiprocessor computer system. Eng. J. Don 38(4), 52 (2015). (in Russian)
Sukhinov, A.I., Nikitina, A.V., Semenyakina, A.A., Chistyakov, A.E.: A set of models, explicit regularized high-resolution schemes and programs for predictive modeling of consequences of emergency oil spill. In: Proceedings of the International Scientific Conference Parallel Computational Technologies (PCT 2016), pp. 308–319 (2016). (in Russian)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Sukhinov, A., Nikitina, A., Chistyakov, A., Sumbaev, V., Abramov, M., Semenyakina, A. (2017). Predictive Modeling of Suffocation in Shallow Waters on a Multiprocessor Computer System. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2017. Lecture Notes in Computer Science(), vol 10421. Springer, Cham. https://doi.org/10.1007/978-3-319-62932-2_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-62932-2_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-62931-5
Online ISBN: 978-3-319-62932-2
eBook Packages: Computer ScienceComputer Science (R0)