Abstract
COMFLOW is a general 3D free-surface flow solver. The main objective in this paper is to extend the solver with a permeable flow model to simulate wave interaction with rubble-mound breakwaters. The extended Navier-Stokes equations for permeable flow are presented and we show the discretization of these equations as they are implemented in COMFLOW. An analytical solution for the reflection coefficient of a permeable structure is derived and the numerical model is compared to the solution. In addition, a validation study has been performed, in which we compare the numerical results with an experiment. In the experiment, pressures and surface elevations are measured inside a permeable structure. The measurements are represented well by the simulation results. At the end, a 3D application of the model is shown.References
Borsboom, M., J. Groeneweg, N. Doorn and M.R.A. van Gent (2001), Flexible Boundary Conditions for a Boussinesq Type Wave Model, Proceedings of Waves 2001, San Francisco
Kleefsman, K.M.T., G. Fekken, A.E.P. Veldman, B. Iwanowski, and B. Buchner (2005), A Volumeof-Fluid based simulation method for wave impact problems. Journal of Computational Physics, 206(1):363-393http://dx.doi.org/10.1016/j.jcp.2004.12.007
Liu, P.L.F, P. Lin, K.A. Chang, and T. Sakakiyama (1999), Numerical Modeling of Wave Interaction with Porous Structures, Journal of Waterway, Port, Coastal and Ocean Engineering, 125, 322-330http://dx.doi.org/10.1061/(ASCE)0733-950X(1999)125:6(322)
Rienecker, M.M. and J.D. Fenton (1981), A Fourier Approximation Method For Steady Water-Waves, Journal Of Fluid Mechanics, 104(MAR):119-137, 1981http://dx.doi.org/10.1017/S0022112081002851
Van Gent, M.R.A. (1995), Porous flow through rubble mound material, J. of Waterway, Port, Coastal and Ocean Engineering, Vol.121, no.3, pp.176-181, ASCE, New Yorkhttp://dx.doi.org/10.1061/(ASCE)0733-950X(1995)121:3(176)
Van Gent, M.R.A. and I.M. van der Werf (2010), Stability of breakwater roundheads during construction, Proceedings of 32nd International Conference on Coastal Engineering. Shanghai, China
Van Gent, M.R.A., P. Tönjes, H.A.H. Petit and P. van den Bosch (1994), Wave action on and in permeable structures, Proc. ICCE'94, Vol.2, pp.1739-1753, Kobe, Japan
Verstappen, R.W.C.P. and A. E. P. Veldman (2003), Symmetry-preserving discretization of turbulent flow. Journal of Computational Physics, 187(1):343-368.http://dx.doi.org/10.1016/S0021-9991(03)00126-8
Wellens, P.R., R. Luppes, A.E.P. Veldman and M.J.A. Borsboom (2009), CFD Simulations of a Semi-Submersible with Absorbing Boundary Conditions, Proceedings of OMAE2009, Honolulu
Wenneker, I., P.R.Wellens and R. Gervelas (2010), Volume-of-Fluid model ComFLOW simulations of wave impacts on a dike, Proceedings of 32nd International Conference on Coastal Engineering.
PMid:21534463