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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 1, Pages 114–125
DOI: https://doi.org/10.7868/S0044466914010086 (Mi zvmmf9978) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Roll waves in an annular channel

M. A. Istominaa, E. V. Yushkovb

a Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
b Faculty of Physics, Moscow State University, Moscow, 119992, Russia
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DOI: https://doi.org/10.7868/S0044466914010086
Abstract: The goal of this study is to analytically construct periodic wind perturbations in an annular channel that are numerically produced by a regularized model. R. Dressler’s technique in the shallow water approximation is used to prove the nonexistence of smooth periodic solutions, and discontinuous solutions related to roll waves on inclined surfaces are constructed. The constraints on the accelerating and dissipating forces are obtained under which periodic solutions can exist. A numerical analysis of the problem is carried out, and a qualitative comparison of the numerical and theoretical results is presented.
Key words: annular channel, shallow water equations, solitary waves, regularized model, existence of periodic solutions.
Received: 01.08.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 1, Pages 123–134
DOI: https://doi.org/10.1134/S0965542514010084
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. A. Istomina, E. V. Yushkov, “Roll waves in an annular channel”, Zh. Vychisl. Mat. Mat. Fiz., 54:1 (2014), 114–125; Comput. Math. Math. Phys., 54:1 (2014), 123–134
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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