Development of a Numerical Model for Predicting Dynamic Pressures in Open Channel Flow using Non-Orthogonal Curvilinear Coordinate Grid

A 2DV numerical model is developed for solving unsteady Navier-Stokes equations with the abilityfor calculating dynamic pressures in non-orthogonal curvilinear coordinate grids for free surfaceflows. The model is based on fractional step method (or projection method). The free surface elevationis calculated using continuity equation. The present method uses the advantages of shallow watermodels for calculating free surface elevation (even in cases with large changes) and benefits theflexibility of moving non-orthogonal grids. Moreover, this method presents the ability of developing ashallow water solver to take into account the dynamic pressures.The simulation of water elevation in a gradually varied flow, showed the ability of mesh adaption inmoving and curved boundaries. Comparing the results of the model with experimental data and othernumerical models, for flow passing over a hump and trench, confirms the ability of the developedmodel for simulating the free surface flows. Having the ability of calculating free surface and dynamicpressures, the model can therefore be applied to rapidly varied flows.