Numerical modeling of ecologic situation of the Azov Sea with using schemes of increased order of accuracy on multiprocessor computer system
| Autor: | Alena Aleksandrovna Semenyakina, Alla V. Nikitina, A.I. Sukhinov, A. E. Chistyakov |
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| Rok vydání: | 2016 |
| Předmět: |
aquatic ecology tasks
Computer science lcsh:T57-57.97 lcsh:Mathematics scheme of high order of accuracy Numerical modeling Order of accuracy Multiprocessing Parallel computing lcsh:QA1-939 01 natural sciences multiprocessor computer system 010305 fluids & plasmas Computer Science Applications 010101 applied mathematics Computational Theory and Mathematics transport of substances Modeling and Simulation Azov Sea lcsh:Applied mathematics. Quantitative methods 0103 physical sciences 0101 mathematics bottom topography mathematical model |
| Zdroj: | Компьютерные исследования и моделирование, Vol 8, Iss 1, Pp 151-168 (2016) |
| ISSN: | 2077-6853 2076-7633 |
| DOI: | 10.20537/2076-7633-2016-8-1-151-168 |
| Popis: | The article covered results of three-dimensional modeling of ecologic situation of shallow water on the example of the Azov Sea with using schemes of increased order of accuracy on multiprocessor computer system of Southern Federal University. Discrete analogs of convective and diffusive transfer operators of the fourth order of accuracy in the case of partial occupancy of cells were constructed and studied. The developed scheme of the high (fourth) order of accuracy were used for solving problems of aquatic ecology and modeling spatial distribution of polluting nutrients, which caused growth of phytoplankton, many species of which are toxic and harmful. The use of schemes of the high order of accuracy are improved the quality of input data and decreased the error in solutions of model tasks of aquatic ecology. Numerical experiments were conducted for the problem of transportation of substances on the basis of the schemes of the second and fourth orders of accuracy. Theyre showed that the accuracy was increased in 48.7 times for diffusion-convection problem. The mathematical algorithm was proposed and numerically implemented, which designed to restore the bottom topography of shallow water on the basis of hydrographic data (water depth at individual points or contour level). The map of bottom relief of the Azov Sea was generated with using this algorithm. Its used to build fields of currents calculated on the basis of hydrodynamic model. The fields of water flow currents were used as input data of the aquatic ecology models. The library of double-layered iterative methods was developed for solving of nine-diagonal difference equations. It occurs in discretization of model tasks of challenges of pollutants concentration, plankton and fish on multiprocessor computer system. It improved the precision of the calculated data and gave the possibility to obtain operational forecasts of changes in ecologic situation of shallow water in short time intervals. |
| Databáze: | OpenAIRE |
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