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Communication Dans Un Congrès Année : 2003

Second order approximation of the viscous Saint-Venant system and comparison with experiments

Résumé

We present numerical simulations of the Saint-Venant system for shallow waters, including small friction and viscosity, motivated by the interest in recovering the results of experimental studies on the free-surface flows over an obstacle. We use the kinetic scheme "with reflections" formulated in [B. Perthame, C. Simeoni, A kinetic scheme for the Saint-Venant system with a source term, Calcolo, 38 (2001), no. 4, 201-231], appropriately extended to obtain second order accuracy according to the theory developed in [Th. Katsaounis, C. Simeoni, First and second order error estimates for the upwind source at interface method, Math. Comp. 74 (2005), no. 249, 103-122]
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Dates et versions

hal-00922694 , version 1 (29-12-2013)
hal-00922694 , version 2 (30-12-2013)

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Theodoros Katsaounis, Chiara Simeoni. Second order approximation of the viscous Saint-Venant system and comparison with experiments. Proceedings of the Ninth International Conference on Hyperbolic Problems, Mar 2002, CalTech, Pasadena, United States. pp.633-644, ⟨10.1007/978-3-642-55711-8_59⟩. ⟨hal-00922694v2⟩
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