Application of the Saint-Venant model and the modified Stefan model for modeling the formation of the ice cover at the thermal growth stage / Starodumov I., Derevianko A., Alexandrov D. // IOP Conference Series: Materials Science and Engineering. - 2017. - V. 192, l. 1.

ISSN:

17578981

Type:

Conference Paper

Abstract:

River ice processes are complex phenomena that are affected by many factors, including meteorological conditions, thermal inputs, hydraulic conditions and channel geometry. Because of the complexity of river ice phenomena and the limited current understanding, the development ofa river ice model requires the maximum use of existing theories and mathematical techniques. In the river hydraulics component, the flow condition is often determined by the solution of the Saint-Venant unsteady flow equations. The complex phenomenon of ice formation at the stage of thermal growth in turn is usually described by models based on the Stefan equation. In current paper we consider the opportunity to use the modified Stefan model, which includes the model of mushy layer in the task of ice thermal grows together with the solution of the problem of Saint-Venant. © Published under licence by IOP Publishing Ltd.

Author keywords:

Index keywords:

Phase transitions; Rivers; Channel geometry; Flow condition; Hydraulic conditions; Meteorological condition; River hydraulics; River ice process; Stefan equation; Unsteady flow equations; Ice

DOI:

10.1088/1757-899X/192/1/012033

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018406700&doi=10.1088%2f1757-899X%2f192%2f1%2f012033&partnerID=40&md5=3c0e6d6de07ccddd6c0d2860996b536d

Соавторы в МНС:

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Другие поля

Поле	Значение
Art. No.	012033
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018406700&doi=10.1088%2f1757-899X%2f192%2f1%2f012033&partnerID=40&md5=3c0e6d6de07ccddd6c0d2860996b536d
Affiliations	Laboratory of Multi-Scale Mathematical Modelling, Ural Federal University, Ekaterinburg, Russian Federation; Kiev National University, Kiev, Ukraine
Funding Details	16-11-10095, RSF, Russian Science Foundation
Funding Text	Authors achnowledge support from the Russian Science Foundation under project number 16-11-10095.
References	Shen, H., Yapa, P., (1985) Canadian Journal of Civil Engineers, 12 (1), pp. 54-62; Simonsen, C., Carson, R., (1977) Proceedings of the Third National Hydrotechnical Conference, p. 19; Petryk, S., Boisvert, R., (1978) Proceedings of the Speciality Conference on Computer Applications in Hydrotechnical and Municipal Engineering, pp. 239-259; Michel, B., Drouin, M., (1982) Canadian Journal of Civil Engineering, 8 (3), pp. 351-363; Petryk, S., Panu, U., Cartha, V., Clement, F., (1981) Proceedings of IAHR International Symposium on Ice, pp. 426-436; Calkins, D., (1984) Proceedings of Workshop on the Hydraulics of River Ice, pp. 247-277; Lai, A.W., Shen, H.T., (1993) A Mathematical Model for River Ice Processes, , (US Army Corps of Engineers); Starodumov, I., (2014) The Bulletin of Adyghe State University, 2, pp. 37-43; Stefan, J., (1891) Wien Sitzunsber. Akad. Wiss. Series A, 42, pp. 965-983; Billleo, M., (1980) Maximum Thickness and Subsequent Decay Oflakes, Rivers and Fast Sea Ice in Canada and Alaska, CRREL Report, , (US Army Corps of Engineers); Alexandrov, D., Malygin, A., Alexandrova, I., (2006) Annals of Glaciology, 44 (1), pp. 118-122
Publisher	Institute of Physics Publishing
Conference name	International Conference on Structural and Phase Transformations in Materials: Theory, Computer Modelling and Experiment, SPTM 2017
Conference date	23 March 2017 through 27 March 2017
Conference code	127357
Language of Original Document	English
Abbreviated Source Title	IOP Conf. Ser. Mater. Sci. Eng.
Source	Scopus