NUMERICAL MODELING OF COASTAL DIKE OVERTOPPING USING SPH AND NON-HYDROSTATIC NLSW EQUATIONS

This paper evaluates the results of two fundamentally different numerical models: DualSPHysics and SWASH, which can be used to assess the ability of coastal defense structures to offset or mitigate the water overtopping and subsequent implications for expected future sea level rise. The models are open source implementations of the smoothed particle hydrodynamics (SPH) method and of a non-hydrostatic adaptation of the non-linear shallow water (NLSW) equations, respectively. The small-scale physical experiment of Stansby and Feng (2004) is used to validate and asses the performance of the two numerical models for the case of breaking monochromatic waves overtopping a coastal dike. Numerical and experimental time-histories of water surface elevation are quantitatively compared and numerical velocity fields during the processes of wave breaking and overtopping are analysed in detail. In addition, to further validate the DualSPHysics model, numerical experiments are performed considering the more realistic case of irregular waves using the SWASH model as benchmark. Overall, results provided by both numerical models are generally comparable, although some strengths and shortcomings of each are highlighted. These results can provide guidance in selecting the most appropriate model for a particular situation given specific accuracy requirements and availability of resources.

[1]  Guus S. Stelling,et al.  NUMERICAL SIMULATION OF 3D QUASI-HYDROSTATIC, FREE-SURFACE FLOWS , 1998 .

[2]  M. M. Carvalho Sea Wave Simulation , 1989 .

[3]  L. Verlet Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules , 1967 .

[4]  Marcel Zijlema,et al.  SWASH: An operational public domain code for simulating wave fields and rapidly varied flows in coas , 2011 .

[5]  M. G. Neves,et al.  A LAGRANGIAN SMOOTHED PARTICLE HYDRODYNAMICS - SPH - METHOD FOR MODELLING WAVES-COASTAL STRUCTURE INTERACTION , 2010 .

[6]  Benedict D. Rogers,et al.  Numerical Modeling of Water Waves with the SPH Method , 2006 .

[7]  Holger Wendland,et al.  Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree , 1995, Adv. Comput. Math..

[8]  Maria Graça Neves,et al.  Coastal flow simulation using SPH: Wave overtopping on an impermeable coastal structure , 2009 .

[9]  Peter Stansby Solitary wave run up and overtopping by a semi-implicit finite-volume shallow-water Boussinesq model , 2003 .

[10]  J. Monaghan Simulating Free Surface Flows with SPH , 1994 .

[11]  Agustín Sánchez-Arcilla,et al.  Simulation of Wave Overtopping of Maritime Structures in a Numerical Wave Flume , 2012, J. Appl. Math..

[12]  Peter Stansby,et al.  Shallow‐water flow solver with non‐hydrostatic pressure: 2D vertical plane problems , 1998 .

[13]  D. H. Peregrine,et al.  Surf and run-up on a beach: a uniform bore , 1979, Journal of Fluid Mechanics.

[14]  G. Stelling,et al.  Numerical Modeling of Wave Propagation, Breaking and Run-Up on a Beach , 2009 .

[15]  J. Monaghan,et al.  Solitary Waves on a Cretan Beach , 1999 .

[16]  Omar M. Knio,et al.  SPH Modelling of Water Waves , 2001 .

[17]  Marcel Zijlema,et al.  Efficient computation of surf zone waves using the nonlinear shallow water equations with non-hydrostatic pressure , 2008 .

[18]  P. Stansby,et al.  Surf zone wave overtopping a trapezoidal structure: 1-D modelling and PIV comparison , 2004 .