Abstract
Coastal protection of land reclamation areas is often composed of rock or otherwise permeable material. Wave-induced setup inside permeable structures can be a problem for land reclamation areas if the design land level is too low. Wave-induced setup has not been studied extensively. In this study we use COMFLOW, a numerical model based on the Navier-Stokes equations employing the Volume-Of-Fluid method to displace the free surface, to quantify wave-induced setup inside permeable structures. The results are summarized in a conceptual design formula to determine wave-induced setup as a function of wave height Hm0 and rock diameter Dn50.
Highlights
Detailed numerical methods based on the Navier-Stokes equations can be used in support of experiments to understand the hydrodynamics in a flume or basin
We will use the experiment presented in Wellens et al (2010), in which COMFLOW was validated for the wave height inside the structure, for the purpose of validating COMFLOW for internal setup
OF THE NUMERICAL SIMULATIONS The internal setup was determined from the free surface measurements of the wave gauge inside the structure
Summary
Detailed numerical methods based on the Navier-Stokes equations can be used in support of experiments to understand the hydrodynamics in a flume or basin. We have developed a numerical method that includes flow through permeable structures. A volume-averaged method is adopted, in which we assume that the properties of the permeable structure, such as the porosity, are homogenous throughout (part of) the structure. We need to account for the viscous interaction of the flow with the rocks in the permeable structure. We cannot represent all the (turbulent) boundary layers around the individual stones and will model the viscous interaction with an additional volume averaged friction force in the Navier-Stokes equations that depends on the flow velocity. Friction force (1) is part of the extended Navier-Stokes equations for permeable flow. After substitution of all fluxes Φ around the circumference of the control volume, the discrete continuity equation reads:
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