Abstract
The article has been devoted to construction and investigation of parallel algorithms for the numerical realization of 3D models of suspended matter transportation and deposition and 2D models of bottom sediment transportation in sea coastal systems on the basis of explicit schemes with regularization terms that provide improved stability quality. The developed models take into account coastal currents and stress near the bottom caused by wind waves, turbulent spatial-three-dimensional motion of the water medium, particle size distribution and porosity of bottom sediments and hydraulic size of suspended particles, complicated shoreline shape and bottom relief and other factors. The numerical realization of the suspension transportation problem is carried out on the basis of explicit regularized difference schemes. The discrete model is constructed by means of including additional term according to idea of B. Chetverushkin – a discrete analogue of a second-order difference derivative with a small factor has been inserted in right side diffusion-advection equation. The value of the small factor determined on the basis of physical considerations and stability conditions. Compared with traditional parallel algorithms oriented to the use of implicit schemes, the use of explicit regularized algorithms allows to reduce the time of numerical solution of problems on a multi-core computing system with distributed memory containing 2048 cores and a peak performance of 18 Tflops in 12–80 times. The program package constructed by the authors for parallel realization given models has practical significance: it will allow to improve the accuracy of the real-time forecast and the validity of the engineering solutions taken for coastal infrastructure projects.
This paper was partially supported by the grant No. 17-11-01286 of the Russian Science Foundation.
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Sukhinov, A.I., Chistyakov, A.E., Sidoryakina, V.V. (2018). Parallel Solution of Sediment and Suspension Transportation Problems on the Basis of Explicit Schemes. In: Sokolinsky, L., Zymbler, M. (eds) Parallel Computational Technologies. PCT 2018. Communications in Computer and Information Science, vol 910. Springer, Cham. https://doi.org/10.1007/978-3-319-99673-8_22
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