One dimensional Boussinesq equations are developed in a form well suited to be applied to river flow and then integrated numerically trough a predictor-corrector scheme combined with a finite volume spatial integration that allows classical finite volume Godunov approach to be applied to advective terms. Spatial derivatives in the dispersive terms are discretized through finite difference schemes. This makes the overall scheme a hybrid finite difference–finite volume scheme. The 1D numerical scheme has been tested with undular bores obtained increasing the discharge in a channel initially at rest or reproducing a dam break over wet bed. The results are shown and compared with experimental and numerical data deducted from literature. Some consideration about non linearity parameters is illustrated.
Boussinesq equations applied to un steady river flow
BOSA, Silvia;PETTI, Marco
2008-01-01
Abstract
One dimensional Boussinesq equations are developed in a form well suited to be applied to river flow and then integrated numerically trough a predictor-corrector scheme combined with a finite volume spatial integration that allows classical finite volume Godunov approach to be applied to advective terms. Spatial derivatives in the dispersive terms are discretized through finite difference schemes. This makes the overall scheme a hybrid finite difference–finite volume scheme. The 1D numerical scheme has been tested with undular bores obtained increasing the discharge in a channel initially at rest or reproducing a dam break over wet bed. The results are shown and compared with experimental and numerical data deducted from literature. Some consideration about non linearity parameters is illustrated.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
