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Hyperbolic Problems: Theory, Numerics, Applications
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 thedoi:10.1007/978-3-642-55711-8_59 fatcat:k2uc636corflhcrctcld4bdmp4