AbstractThe average overtopping discharge is an important parameter for the design of flood defences. Several empirical formulas are available for predicting the overtopping discharge at dikes. However, these empirical formulas often have their specific applicable conditions. To complement with the empirical methods, a numerical model has been developed using the open source CFD package OpenFOAM to model the wave overtopping at dikes. Systematic calibration and validation of the numerical model are performed. The influences of the mesh, solver, turbulence model and roughness height on the modelled results of the average overtopping discharge have been investigated during the model calibration. The simulations show that the turbulence model increases the accuracy of the numerical model for predicting the average overtopping discharge under wave breaking conditions. The calibrated model is then validated by comparing the modelled average overtopping discharges with the measured ones from the physical model tests. Results show that the OpenFOAM model is capable of predicting the average overtopping discharge accurately at dikes that have a smooth straight waterside slope.
Chen, W., Marconi, A., van Gent, M.R.A., Warmink, J.J., Hulscher, S.J.M.H., 2020b. Experimental study on the influence of berms and roughness on wave overtopping at rock-armoured dikes. J. Mar. Sci. Eng. 8, 1–21. https://doi.org/10.3390/jmse8060446
Chen, W., Van Gent, M.R.A., Warmink, J.J., Hulscher, S., 2020a. The influence of a berm and roughness on the wave overtopping at dikes. Coast. Eng. 156, 103613.
Davidson, J., Cathelain, M., Guillement, L., Huec, T. Le, V.Ringwood, J., 2015. Implementation of an OpenFOAM Numerical Wave Tank for Wave Energy Experiments. Proc. 11th Eur. Wave Tidal Energy Conf. 1–10.
Durbin, P.A., 2009. Limiters and wall treatments in applied turbulence modeling. Fluid Dyn. Res. 41. https://doi.org/10.1088/0169-5983/41/1/012203
Engsig-Karup, A.P., Bingham, H.B., Lindberg, O., 2009. An efficient flexible-order model for 3D nonlinear water waves. J. Comput. Phys. 228, 2100–2118.
EurOtop, 2018. Manual on wave overtopping of sea defences and related structures, An overtopping manual largely based on European research, but for worldwide application.Van der Meer, J.W., Allsop, N.W.H, Bruce, T., De Rouck, J., Kortenhaus, A., Pullen, T., Schüttrumpf, H., Troch, P., Zanuttigh, B.,www.overtopping-manual.com.
Higuera, P., Lara, J.L., Losada, I.J., 2014. Three-dimensional interaction of waves and porous coastal structures using OpenFOAM®. Part II: Application. Coast. Eng. 83, 259–270. https://doi.org/10.1016/j.coastaleng.2013.09.002
Jacobsen, N.G., Fuhrman, D.R., Fredsøe, J., 2012. A wave generation toolbox for the open‐source CFD library: OpenFoam®. Int. J. Numer. Methods Fluids 70, 1073–1088.
Jensen, B., Jacobsen, N.G., Christensen, E.D., 2014. Investigations on the porous media equations and resistance coefficients for coastal structures. Coast. Eng. 84, 56–72. https://doi.org/10.1016/j.coastaleng.2013.11.004
Larsen, B.E., Fuhrman, D.R., 2018. On the over-production of turbulence beneath surface waves in Reynolds-averaged Navier–Stokes models. J. Fluid Mech. 853, 419–460.
Larsen, B.E., Fuhrman, D.R., Roenby, J., 2018. Performance of interFoam on the simulation of progressive waves.
Mansard, E.P.D., Funke, E.R., 1980. The measurement of incident and reflected spectra using a least squares method, in: Coastal Engineering 1980. pp. 154–172.
Nikuradse, J., 1950. Laws of Flow in Rough Pipes, National Advisory Committee for Aeronautics. https://doi.org/doi:10.1016/s0016-0032(40)90670-6
Patil, A., 2019. Numerical investigation of nearshore wave transformation and surf zone hydrodynamics. Delft University of Technology.
Paulsen, B.T., Bredmose, H., Bingham, H.B., 2014. An efficient domain decomposition strategy for wave loads on surface piercing circular cylinders. Coast. Eng. 86, 57–76.
Roenby, J., Bredmose, H., Jasak, H., 2016. A computational method for sharp interface advection. R. Soc. open Sci. 3, 160405.
TAW, 2002. Technical report wave run-up and wave overtopping at dikes, Technical Advisory Committee on Flood Defence, Delft, The Netherlands.
Van Bergeijk, V.M., Warmink, J.J., Hulscher, S.J.M.H., 2020. Modelling the wave overtopping flow over the crest and the landward slope of grass-covered flood defences. J. Mar. Sci. Eng. 8. https://doi.org/10.3390/JMSE8070489
Wilcox, D.C., 2006. Turbulence modeling for CFD, 3rd. DCW Ind. La Canada, California, U.S.A.