Abstract
A refinement on a depth averaged model of open channel flows with the effects of vertical acceleration is investigated in this paper. We first derived a refined momentum equation of the depth averaged model formulated by the depth-averaged velocity, applying the iteration procedures to modify a vertical velocity distribution under irrotational condition and modifying the dispersion terms to avoid the singularity in linear dispersion relation. To evaluate the model performance, the equation was applied to the free surface oscillation in a water tank. The solution of linearized equation and the non-linear approximate solution were derived and were compared with the Airy waves and the numerical results by vertical 2-D CFD model, respectively.
