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Article title TIME-CONSUMING COMPARISON OF EXPLICIT AND IMPLICIT SCHEMES FOR NUMERICAL REALIZATION OF THE SEDIMENT TRANSPORT PROBLEM IN COASTAL SYSTEMS
Authors E.A. Protsenko, A.E. Chistyakov, S.A. Shreter, A.A. Sukhinov
Section SECTION III. THE USE OF SUPERCOMPUTER TECHNOLOGIES
Month, Year 12, 2014 @en
Index UDC 519.6
DOI
Abstract For reliable prediction of dynamic phenomena of the coastal zone there is a need to construct mathematical models of transport of matter in shallow water under the influence of surface gravity waves, which play an important role in the prediction of possible intervention into the ecosystem, in the analysis of the current situation in the operational decisions on overcoming of anthropogenic influences. The purpose of work consists in the creation and implementation of a two-dimensional continuous and discrete models of transport of deposits in the coastal water systems, describing the rearrangement of the coastal zone of the reservoirs due to the movement of water and solid particles and satisfying the basic conservation laws. For the solution of the problem were used both traditional (implicit), and explicit discrete models, with addition in the last of regularized according to B.N. Chetverushkin composed – discrete analog of a differential derivative of the second order on time. The spatial three-dimensional model of hydrodynamics in the coastal zone of reservoirs and model of the transport of suspended particles were built and implemented on a cluster of distributed computing. The results of numerical experiments are given. The main aim of this work is to compare the time costs for algorithms based on traditional implicit and explicit regularization schemes. In work the choice of admissible value of a multiplier at a differential derivative of the second order is considered – a scheme regulyarizator which is necessary for creation of effective parallel algorithm of the solution of this task on systems with mass overlapping. Developed numerical algorithms and implementing them complex programs have practical significance: they can be used for studies of hydrophysical processes in the coastal water systems, testing hypotheses and predicting the dynamics of the bottom region of shallow water bodies and shorelines. The findings will improve existing models to predict changes in the underwater topography and shape of the coastline.

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Keywords Parallel computing; sediment transport; discrete model; difference equations; numerical experiment; method of regularization; implicit schemes.
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