Second Order Approximation of the Viscous Saint-Venant System and Comparison with Experiments

Theodoros Katsaounis () and Chiara Simeoni ()
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Theodoros Katsaounis: École Normale Supérieure, Département de Mathématiques et Applications
Chiara Simeoni: École Normale Supérieure, Département de Mathématiques et Applications

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 633-644 from Springer

Abstract: Abstract 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 “wit h reflexions” formulated in [17], appropriately extended to obtain second order accuracy according to the theory developed in [11].

Keywords: Wave Train; Shallow Water Equation; Kinetic Scheme; Hydraulic Jump; Numerical Flux (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_59

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DOI: 10.1007/978-3-642-55711-8_59

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