Abstract
A three-dimensional non-hydrostatic model based on Volume-Averaged, Reynolds-Averaged Navier–Stokes equations (VARANS) in the σ coordinate is presented. It is coupled with a non-linear k−ε turbulence model. The model's performance on wave interactions with porous structures is validated against laboratory data, including dam-break flows through a porous wall, solitary waves propagating over a submerged permeable obstacle, as well as periodic waves propagating over a submerged porous breakwater with wave breaking. Compared with models that use a volume-of-fluid approach, the high computational efficiency of the present model is demonstrated and stressed. Furthermore, the model is shown to be capable of simulating well wave transformation and wave-driven currents in a reef-lagoon-channel system, using the experimental data of Zheng et al. (2020). Next, the effects on wave-height, mean water level and wave-driven currents, caused by porous layers are studied. It is seen that the porous beds can reduce wave height about 43% on the reef flat, while wave setup is comparable (6% mean difference) between corresponding smooth and porous structures. Velocities of the wave-driven currents on the reef flat and the rip currents in the channel decrease by 16% and 21% with porous media. Moreover, results show only small discrepancies with varied porosities.
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