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This article is cited in 8 scientific papers (total in 8 papers)
Analytical and numerical Riemann solutions of the Saint Venant equations for forward- and backward-facing step flows
O. V. Bulatov Faculty of Physics, Moscow State University, Moscow, 119992, Russia
Abstract:
Analytical solutions of the Saint Venant equations for five typical Riemann problems over a forward- or backward-facing step are constructed. These analytical solutions are used as reference ones to estimate the accuracy of simulated discontinuous solutions based on the regularized shallow water equations.
Key words:
Saint Venant equation, Riemann problem, shallow water equations, finite difference method.
Received: 02.08.2013
Citation:
O. V. Bulatov, “Analytical and numerical Riemann solutions of the Saint Venant equations for forward- and backward-facing step flows”, Zh. Vychisl. Mat. Mat. Fiz., 54:1 (2014), 149–163; Comput. Math. Math. Phys., 54:1 (2014), 158–171
Linking options:
https://www.mathnet.ru/eng/zvmmf9981 https://www.mathnet.ru/eng/zvmmf/v54/i1/p149
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