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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 3, Pages 30–45 (Mi vngu48)  
This article is cited in 1 scientific paper (total in 1 paper)

Numerical Simulation of Shallow Water Flows on the Rotating Attractive Sphere

A. V. Ivanovaa, V. V. Ostapenkoab, A. P. Chupakhinab

a M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
b Novosibirsk State University
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Abstract: We derive system conservation of laws for the equations of shallow water on the rotating attractive sphere (mass and total momentum). We construct exact stationary solution with a step profile of depth. These solutions are used for testing explicit two-layer on time difference scheme. We spent numerical simulation of evolution one-dimensional non-stationary discontinuous waves on rotating attractive sphere.
Keywords: conservation laws for shallow water equations on a rotating attractive sphere, discontinuous flow of boron type on a sphere, difference scheme, numerical simulation.
Received: 28.01.2010
Document Type: Article
UDC: 532.5+517.9+519.63
Language: Russian
Citation: A. V. Ivanova, V. V. Ostapenko, A. P. Chupakhin, “Numerical Simulation of Shallow Water Flows on the Rotating Attractive Sphere”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:3 (2010), 30–45
Citation in format AMSBIB
\Bibitem{IvaOstChu10}
\by A.~V.~Ivanova, V.~V.~Ostapenko, A.~P.~Chupakhin
\paper Numerical Simulation of Shallow Water Flows on the Rotating Attractive Sphere
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 3
\pages 30--45
\mathnet{http://mi.mathnet.ru/vngu48}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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