Geodesic
Mathematical model for calculating coastal wave processes
Matematičeskoe modelirovanie, Tome 24 (2012) no. 8, pp. 32-44.

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

A mathematical model for the wave hydrodynamics problem, describing wash ashore and taking into account such physical parameters as turbulence exchange, complexity of domain and coastal line geometry, and bottom friction is developed. For the given mathematical model a discrete model is constructed, taking into account dynamical changing of the calculation domain. Proposed technique for mathematical models sampling takes into account fullness of the control cells. This technique allows improving the real accuracy of a solution in case of complex domain geometry, by improving approximation of the boundary. A software implementation and numerical experiments of the posed problem of the wave hydrodynamics are performed.
Keywords: hydrodynamics, numerical experiment, wave process, balance method, numerical experiment. 
@article{MM_2012_24_8_a1,
     author = {A. I. Sukhinov and A. E. Chistyakov and E. F. Timofeeva and A. V. Shishenya},
     title = {Mathematical model for calculating coastal wave processes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {32--44},
     publisher = {mathdoc},
     volume = {24},
     number = {8},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_8_a1/}
}
TY  - JOUR
AU  - A. I. Sukhinov
AU  - A. E. Chistyakov
AU  - E. F. Timofeeva
AU  - A. V. Shishenya
TI  - Mathematical model for calculating coastal wave processes
JO  - Matematičeskoe modelirovanie
PY  - 2012
SP  - 32
EP  - 44
VL  - 24
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2012_24_8_a1/
LA  - ru
ID  - MM_2012_24_8_a1
ER  - 
%0 Journal Article
%A A. I. Sukhinov
%A A. E. Chistyakov
%A E. F. Timofeeva
%A A. V. Shishenya
%T Mathematical model for calculating coastal wave processes
%J Matematičeskoe modelirovanie
%D 2012
%P 32-44
%V 24
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2012_24_8_a1/
%G ru
%F MM_2012_24_8_a1
A. I. Sukhinov; A. E. Chistyakov; E. F. Timofeeva; A. V. Shishenya. Mathematical model for calculating coastal wave processes. Matematičeskoe modelirovanie, Tome 24 (2012) no. 8, pp. 32-44. http://geodesic.mathdoc.fr/item/MM_2012_24_8_a1/

[1] Shokin Yu. I., Chubarov L. B., Marchuk An. G., Simonov K. V., Vychislitelnyi eksperiment v probleme tsunami, Nauka. Sib. otd-nie, Novosibirsk, 1989, 168 pp.

[2] 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 | MR | Zbl

[3] Belotserkovskii O. M., Guschin V. A., Schennikov V. V., “Metod rasschepleniya v primenenii k resheniyu zadach dinamiki vyazkoi neszhimaemoi zhidkosti”, Zh. vychisl. matem. i matem. fiz., 15:1 (1975), 197–207 | MR

[4] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR

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

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

[7] Samarskii A. A., Vabischevich P. N., Chislennye metody resheniya zadach konvektsii-diffuzii, Editorial URSS, M., 1999

[8] Sukhinov A. I., “Modifitsirovannyi poperemenno-treugolnyi metod dlya zadach teplovodnosti i filtratsii”, Vychislitelnye sistemy i algoritmy, Izd-vo RGU, Rostov-na-Donu, 1984, 52–59

[9] Ezer T., Mellor G. L., “Sensitivity studies with the North Atlantic sigma coordinate Princeton Ocean Model”, Dynamics of Atmospheres and Oceans, 32 (2000), 155–208 | DOI