"Comparison of computational efficiency of explicit and implicit schemes for the sediment transport problem in coastal zones"
Sukhinov A.I., Protsenko E.A., Chistyakov A.E., and Shreter S.A.

An unsteady spatial two-dimensional sediment transport model in coastal zones is considered. The model takes into account the following physical parameters and processes: the soil porosity; the critical shear stress at which the sediment displacement begins; the turbulent exchange; the dynamically variable geometry of the bottom and the level elevation function; the wind flows; and the bottom friction. A spatial three-dimensional hydrodynamic model for coastal zones and a transport model for suspended particles are proposed and implemented on a computing cluster. Some numerical results are discussed.

Keywords: mathematical model, sediment transport, distributed computing, parallel programming, dynamics of marine sediments, shallow water equations, diffusion-convection-reaction equation.

  • Sukhinov A.I. – Chekhov Taganrog State Pedagogical Institute, Faculty of Physics, Mathematics and Informatics; ulitsa Initsiativnaya 48, Taganrog, 347936, Russia; Dr. Sci., Professor, Dean of Faculty, e-mail: sukhinov@gmail.com
  • Protsenko E.A. – Chekhov Taganrog State Pedagogical Institute, Faculty of Physics, Mathematics and Informatics; ulitsa Initsiativnaya 48, Taganrog, 347936, Russia; Ph.D., Associate Professor, e-mail: eapros@rambler.ru
  • Chistyakov A.E. – Southern Federal University, Kalyaev Scientific Research Institute of Multiprocessor Computing Systems; ulitsa Chekhova 2, Taganrog, 347922, Russia; Ph.D., Associate Professor, e-mail: cheese_05@mail.ru
  • Shreter S.A. – Chekhov Taganrog State Pedagogical Institute, Faculty of Physics, Mathematics and Informatics; ulitsa Initsiativnaya 48, Taganrog, 347936, Russia; Senior Lecturer, e-mail: sergshre@yandex.ru