Abstract:
Calculations require consideration multi-scale turbulence, sedimentation of suspensions, adhesion conditions for suspended particles at the water-bottom interface, jet effects, and salvo discharge of soil, which will allow more accurately assess the spatial distribution of concentrations of pollutants and the size of their impact zones, according to the requirements for models for calculating the volumes and areas of water pollution zones with suspended matter and other impurities. This paper describes an improved complex of coupled models of transport of suspended matter and sediment, taking into account the dynamic changes in the computational domain, changes in the density of the medium due to the presence of suspensions and their multicomponent character. Model has been developed for calculating the pollution zones with suspended matter in the presence of wave processes, in which the dynamic rebuilding of the computational domain occurs not only due to a change in the geometry of the level elevation function, but also due to a change in the bottom relief as a result of sedimentation of suspensions.
Keywords:
multi-scale turbulence, jet effects, multicomponent impurities, spatial distribution of pollutant concentrations.
Citation:
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Set of coupled suspended matter transport models including three-dimensional hydrodynamic processes in the coastal zone”, Mat. Model., 32:2 (2020), 3–23; Math. Models Comput. Simul., 12:5 (2020), 757–769
\Bibitem{SukChiPro20}
\by A.~I.~Sukhinov, A.~E.~Chistyakov, E.~A.~Protsenko, V.~V.~Sidoryakina, S.~V.~Protsenko
\paper Set of coupled suspended matter transport models including three-dimensional hydrodynamic processes in the coastal zone
\jour Mat. Model.
\yr 2020
\vol 32
\issue 2
\pages 3--23
\mathnet{http://mi.mathnet.ru/mm4152}
\crossref{https://doi.org/10.20948/mm-2020-02-01}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 5
\pages 757--769
\crossref{https://doi.org/10.1134/S207004822005018X}
Linking options:
https://www.mathnet.ru/eng/mm4152
https://www.mathnet.ru/eng/mm/v32/i2/p3
This publication is cited in the following 7 articles:
V. V. Sidoryakina, D. A. Solomakha, “Parallel Algorithms for Numerical Solution of Spatially Three-Dimensional Diffusion-Convection Equations in Coastal Systems Based on Splitting Schemes”, CMIT, 8:1 (2024), 29
A. I. Sukhinov, A. E. Chistyakov, V. V. Sidoryakina, I. Yu. Kuznetsova, A. M. Atayan, “Ispolzovanie parallelnykh vychislenii dlya otsenki protsessa perenosa zagryaznyayuschikh veschestv v melkovodnykh vodoemakh”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 24:2 (2024), 298–315
V. V. Sidoryakina, “Construction of Second-Order Finite Difference Schemes for Diffusion-Convection Problems of Multifractional Suspensions in Coastal Marine Systems”, CMIT, 8:3 (2024), 43
Alexander Sukhinov, Elena Protsenko, Valentina Sidoryakina, Sofya Protsenko, PROCEEDING OF THE 7TH INTERNATIONAL CONFERENCE OF SCIENCE, TECHNOLOGY, AND INTERDISCIPLINARY RESEARCH (IC-STAR 2021), 2601, PROCEEDING OF THE 7TH INTERNATIONAL CONFERENCE OF SCIENCE, TECHNOLOGY, AND INTERDISCIPLINARY RESEARCH (IC-STAR 2021), 2023, 050009
Aleksandr Ivanovich Sukhinov, Valentin Vladimirovich Kholodkov, Elena Anatolevna Protsenko, Sofya Vladimirovna Protsenko, Natalya Dmitrievna Panasenko, “Chislennoe modelirovanie izmeneniya relefa dna vodoema pri nalichii gravitatsionnykh voln”, Comp. Contin. Mech., 16:4 (2023), 459
Elena Timofeeva, Aleksandr Sukhinov, Aleksandr Chistiakov, Nadezhda Timofeeva, Lecture Notes in Networks and Systems, 424, Mathematics and its Applications in New Computer Systems, 2022, 371
Alexander Sukhinov, Alexander Chistyakov, Inna Kuznetsova, Yulia Belova, Alla Nikitina, “Mathematical Model of Suspended Particles Transport in the Estuary Area, Taking into Account the Aquatic Environment Movement”, Mathematics, 10:16 (2022), 2866