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Article title APPLICATION SCHEME OF HIGH RESOLUTION FOR SOLVING THE PROBLEM OF BIOLOGICAL REHABILITATION IN SHALLOW WATERS ON MULTIPROCESSOR COMPUTER SYSTEMS
Authors A.V. Nikitina
Section SECTION V. THE APPLICATION OF SUPERCOMPUTER TECHNOLOGIES IN SCIENCE, TECHNOLOGY AND INDUSTRY
Month, Year 12, 2016 @en
Index UDC 519.6
DOI 10.18522/2311-3103-2016-12-141149
Abstract The paper covers problems of solving tasks of water ecology on multiprocessor computer system (MCS). The aim is to improve the accuracy predictive modeling of biological processes kinetics, based on studies and research and numerical implementation of new mathematical models of hydro-biological processes occurring in the shallow waters. We proposed a new model of biological rehabilitation of shallow waters taking into account the factors which have a significant influence on the water quality. The model’s discretization was performed using the balance method and the implicit scheme with central differences. The proposed numerical method for the model problem solution is the most common and suitable to the study of hydrobiological processes oc-curring in shallow waters since it permits to correctly design the computational algorithms on the boundary between the integration domain and the environment division. One of the objectives of the work is reducing the calculation time and saving the accuracy of the results of solving problem of biological rehabilitation of shallow waters by using a multiprocessor computer system. Two algorithms have been developed in the implementation of the parallel algorithm for solving problem on the MCS for the distribution of data between the processors. There is the algorithm on the basis of the k-means method, based on the minimization of the functional of the total sample variance of scatter elements about the center of gravity of the subdomains, which allows increasing the efficiency of the parallel algorithm of the hydrobiology problem of shallow water. For the numerical implementation of the proposed mathematical model of biological rehabilitation of shallow pond used are the high-order accuracy schemes, developed was the parallel algorithm of modified alternating triangular method, k-means algorithm was used for data distribution among the processors MCS, increasing the efficiency of the algorithm to solve the problem 15 % compared to an algorithm based on a standard partitioning of the computational domain. Using the MCS can significantly reduce the calculation time while saving the accuracy of the solution. The latter fact provides the fast and qualitative interpretation of hydrobiological data.

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Keywords Multiprocessor computer system; modeling of biological rehabilitation; system of linear al-gebraic equations; shallow water.
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