Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs
Matematičeskoe modelirovanie, Tome 25 (2013) no. 12, pp. 65-82.

Voir la notice de l'article provenant de la source Math-Net.Ru

Coupled non-stationary two-dimensional models of deposits transportation and hydrodynamics processes have been presented in a coastal zone of shallow water basins. The deposit transportation model is taking into account the following physical parameters and processes: porosity of bottom deposits, critical value of tangential tension, for deposit moving, turbulent exchange, dynamically changing bottom shape and variable function elevation, wind currents and bottom friction. Discretization and numerical algorithms have been presented for constructed models. The complex of programs was constructed and results of numerical experiments were given on the basis of the developed algorithms.
Keywords: coupled hydrodynamics and 2D-model of transport of deposits in a coastal zone, discrete models, numerical realization and experiments.
@article{MM_2013_25_12_a5,
     author = {A. I. Sukhinov and A. E. Chistyakov and E. A. Protsenko},
     title = {Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {65--82},
     publisher = {mathdoc},
     volume = {25},
     number = {12},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_12_a5/}
}
TY  - JOUR
AU  - A. I. Sukhinov
AU  - A. E. Chistyakov
AU  - E. A. Protsenko
TI  - Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs
JO  - Matematičeskoe modelirovanie
PY  - 2013
SP  - 65
EP  - 82
VL  - 25
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2013_25_12_a5/
LA  - ru
ID  - MM_2013_25_12_a5
ER  - 
%0 Journal Article
%A A. I. Sukhinov
%A A. E. Chistyakov
%A E. A. Protsenko
%T Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs
%J Matematičeskoe modelirovanie
%D 2013
%P 65-82
%V 25
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2013_25_12_a5/
%G ru
%F MM_2013_25_12_a5
A. I. Sukhinov; A. E. Chistyakov; E. A. Protsenko. Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs. Matematičeskoe modelirovanie, Tome 25 (2013) no. 12, pp. 65-82. http://geodesic.mathdoc.fr/item/MM_2013_25_12_a5/

[1] Leontev I. O., Pribrezhnaya dinamika: volny, techeniya, potoki nanosov, Geos, M., 2001, 272 pp.

[2] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989

[3] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978

[4] Sukhinov A. I., Chistyakov A. E., Alekseenko E. V., “Chislennaya realizatsiya trekhmernoi modeli gidrodinamiki dlya melkovodnykh vodoemov na supervychislitelnoi sisteme”, Matematicheskoe modelirovanie, 23:3 (2011), 3–21

[5] Belotserkovskii O. M., Guschin V. A., Schennikov V. V., “Metod rasschepleniya v primenenii k resheniyu zadach dinamiki vyazkoi neszhimaemoi zhidkosti”, ZhVMiMF, 15:1 (1975), 197–207 | Zbl

[6] Konovalov A. N., “K teorii poperemenno-treugolnogo iteratsionnogo metoda”, Sibirskii matematicheskii zhurnal, 43:3 (2002), 552–572 | Zbl

[7] Sukhinov A. I., Chistyakov A. E., “Adaptivnyi modifitsirovannyi poperemenno-treugolnyi iteratsionnyi metod dlya resheniya setochnykh uravnenii s nesamosopryazhennym operatorom”, Matematicheskoe modelirovanie, 24:1 (2012), 3–21