Geodesic
Analytical and numerical Riemann solutions of the Saint Venant equations for forward- and backward-facing step flows
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 1, pp. 149-163 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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O. V. Bulatov. Analytical and numerical Riemann solutions of the Saint Venant equations for forward- and backward-facing step flows. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 1, pp. 149-163. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_1_a12/

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