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Numerical methods and programming, 2006, Volume 7, Issue 1, Pages 108–112 (Mi vmp582)  
This article is cited in 1 scientific paper (total in 1 paper)

Вычислительные методы и приложения

A finite-volume TVD Riemann solver for the 2D shallow water equations

N. M. Evstigneev

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
Full-text PDF (333 kB) Citations (1)
Abstract: A finite-volume numerical scheme for the initial-boundary value problem with evolutionary 2D shallow water equations is proposed. Contact discontinuities are represented by the approximate Riemann condition. The proposed numerical scheme is adopted to solve the dry-cell problems for dam-break cases. Nonlinear parts of equations are represented by the TVD MUSCL (Total Variation Diminishing, Monotonic Upstream Scheme for Conservation Laws) scheme that preserves monotony and high accuracy in the computational domain.
Keywords: finite-volume schemes, shallow water equation, total variation diminishing algorithm, upstream schemes.
Document Type: Article
UDC: 539.3:518.12
Language: Russian
Citation: N. M. Evstigneev, “A finite-volume TVD Riemann solver for the 2D shallow water equations”, Num. Meth. Prog., 7:1 (2006), 108–112
Citation in format AMSBIB
\Bibitem{Evs06}
\by N.~M.~Evstigneev
\paper A finite-volume TVD Riemann solver for the 2D shallow water equations
\jour Num. Meth. Prog.
\yr 2006
\vol 7
\issue 1
\pages 108--112
\mathnet{http://mi.mathnet.ru/vmp582}
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  • https://www.mathnet.ru/eng/vmp/v7/i1/p108
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Numerical methods and programming
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