Abstract
This paper presents a numerical simulation of the tidal flow in Danang Bay (Vietnam) based on the non-hydrostatic shallow water equations. First, to test the simulation capability of the non-hydrostatic model, we have made a test simulation comparing it with the experiment by Beji and Battjes 1993, Coastal Engineering 23, 1–16. Simulation results for this case are compared with both the experimental data and calculations obtained from the traditional hydrostatic model. It is shown that the non-hydrostatic model is better than the hydrostatic model when the seabed topography variation is complex. The usefulness of the non-hydrostatic model is father shown by successfully simulating the tidal flow of Danang Bay.
Highlights
1 Introduction The effect of non-hydrostatic pressure on the shallowwater model has been a topic of interest for the shallowwater to simulate long waves such as tides, storm surges, and tsunamis
The explicit method is applied to the hydrostatic component of the pressure, and the formulation of the Poisson equation for implicitly solving the non-hydrostatic pressure
This paper has demonstrated the versatility and robustness of the effect of non-hydrostatic pressure for simulating tidal flow
Summary
The effect of non-hydrostatic pressure on the shallowwater model has been a topic of interest for the shallowwater to simulate long waves such as tides, storm surges, and tsunamis. Stelling and Zijlema [15] employed the Keller-box method that takes into account the effect of nonhydrostatic pressure of free-surface flows with a very small number of vertical grid points to approximate the vertical gradient of the pressure arising in the Reynolds-averaged NavierStokes equations In both the depth-integrated and multi-layer formulations, they decompose the pressure into hydrostatic and non-hydrostatic components following Casulli [2] and apply the Keller-box scheme [7] to the vertical gradient approximation of the non-hydrostatic pressure. Yamazaki et al [19] have proposed a depth-integrated non-hydrostatic model which is capable of handling flow discontinuities associated with wave breaking and hydraulic jumps Their model builds on an explicit scheme of the nonlinear shallow-water equations and makes possible a direct implementation of the upwind flux approximation of Kowalik et al [8] in order to improve model stability for discontinuous flow.
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