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Second order approximation of the viscous Saint-Venant system and comparison with experiments.
Katsaounis, Theodoros ; Simeoni, Chiara
HAL, hal-00922694 / Harvested from HAL
Text on HAL
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].
Publié le : 2002-03-25
Classification:  numerical validation,  Saint-Venant system,  source terms,  finite volume method,  second order schemes,  experimental data,  numerical validation.,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],  [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn] 
@article{hal-00922694,
     author = {Katsaounis, Theodoros and Simeoni, Chiara},
     title = {Second order approximation of the viscous Saint-Venant system and comparison with experiments.},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00922694}
}

Katsaounis, Theodoros; Simeoni, Chiara. Second order approximation of the viscous Saint-Venant system and comparison with experiments.. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00922694/