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.
