A SPH numerical wave basin for modeling wave-structure interactions

Abstract Based on a parallel SPH-LES model, a three dimensional numerical wave basin is developed to study wave interaction with coastal structures. The OpenMP programming technology combined with an existing MPI program contained in the parallel version of SPHysics code has been implemented to enable the simulation of hundred millions of particles running on a computer cluster. As part of the numerical basin development work an active absorbing wave maker and a sponge layer are introduced. The dynamic boundary conditions are also corrected to reduce the spurious effects. Wave generation and propagation in the numerical wave basin is first tested and confirmed with analytical results. Then, the model is applied to simulate wave interactions with a vertical breakwater and a vertical cylinder in order to further assess the capability of the numerical wave basin. The predicted free surface elevation near the vertical breakwater is compared with the experimental data while the horizontal forces and overturning moments acting on the vertical cylinder are verified with the analytical results. In all these cases the model results show excellent agreement with the validation data.

[1]  Manuel del Jesus,et al.  Three-dimensional interaction of waves and porous coastal structures: Part I: Numerical model formulation , 2012 .

[2]  Ho-Hwan Chun,et al.  Numerical reproduction of fully nonlinear multi-directional waves by a viscous 3D numerical wave tank , 2004 .

[3]  Songdong Shao,et al.  Smoothed Particle Hydrodynamics Simulations of Dam-Break Flows Around Movable Structures , 2016 .

[4]  Manuel del Jesus,et al.  Three-dimensional interaction of waves and porous coastal structures: Part II: Experimental validation , 2012 .

[5]  Bing Ren,et al.  SPH-DEM Modeling of the Hydraulic Stability of 2D Blocks on a Slope , 2014 .

[6]  Masoud Montazeri Namin,et al.  Moving particle method for modeling wave interaction with porous structures , 2013 .

[7]  Javier L. Lara,et al.  Realistic wave generation and active wave absorption for Navier–Stokes models: Application to OpenFOAM® , 2013 .

[8]  Hitoshi Gotoh,et al.  Sub-particle-scale turbulence model for the MPS method , 2001 .

[9]  Stephen M. Longshaw,et al.  DualSPHysics: Open-source parallel CFD solver based on Smoothed Particle Hydrodynamics (SPH) , 2015, Comput. Phys. Commun..

[10]  Corrado Altomare,et al.  Numerical modelling of armour block sea breakwater with smoothed particle hydrodynamics , 2014 .

[11]  Robert A. Dalrymple,et al.  Green water overtopping analyzed with a SPH model , 2005 .

[12]  Benedict D. Rogers,et al.  SPHysics - development of a free-surface fluid solver - Part 1: Theory and formulations , 2012, Comput. Geosci..

[13]  Rui Gao,et al.  Numerical modelling of regular wave slamming on subface of open-piled structures with the corrected SPH method , 2012 .

[14]  Maria Graça Neves,et al.  Wave interaction with a vertical wall: SPH numerical and experimental modeling , 2014 .

[15]  Paul W. Cleary,et al.  Three‐dimensional wave impact on a rigid structure using smoothed particle hydrodynamics , 2012 .

[16]  A. Colagrossi,et al.  Nonlinear water wave interaction with floating bodies in SPH , 2013 .

[17]  Ioan Nistor,et al.  A corrected 3-D SPH method for breaking tsunami wave modelling , 2011, Natural Hazards.

[18]  Xin Liu,et al.  2D Numerical ISPH Wave Tank for Complex Fluid–Structure Coupling Problems , 2016 .

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

[20]  R C MacCamy,et al.  Wave forces on piles: a diffraction theory , 1954 .

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

[22]  G. Oger,et al.  Two-dimensional SPH simulations of wedge water entries , 2006, J. Comput. Phys..

[23]  B. Rogers,et al.  GPUs, a New Tool of Acceleration in CFD: Efficiency and Reliability on Smoothed Particle Hydrodynamics Methods , 2011, PloS one.

[24]  D. Graham,et al.  Simulation of wave overtopping by an incompressible SPH model , 2006 .

[25]  J. K. Chen,et al.  A corrective smoothed particle method for boundary value problems in heat conduction , 1999 .

[26]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[27]  Dezhi Ning,et al.  Numerical simulation of fully nonlinear irregular wave tank in three dimension , 2007 .

[28]  Ping Dong,et al.  Nonlinear simulations of wave-induced motions of a freely floating body using WCSPH method , 2015 .

[29]  I. Losada,et al.  Simulating coastal engineering processes with OpenFOAM , 2013 .

[30]  Ping Dong,et al.  Numerical simulation of wave interaction with porous structures using an improved smoothed particle hydrodynamic method , 2014 .

[31]  Salvatore Marrone,et al.  Study of ship wave breaking patterns using 3D parallel SPH simulations , 2012 .

[32]  M. Gómez-Gesteira,et al.  Boundary conditions generated by dynamic particles in SPH methods , 2007 .

[33]  Benedict D. Rogers,et al.  SPH for 3D floating bodies using variable mass particle distribution , 2013 .

[34]  Stuart N. Lane,et al.  Large Eddy Simulation of periodic flow characteristics at river channel confluences , 2000 .

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

[36]  Benedict D. Rogers,et al.  Simulation of caisson breakwater movement using 2-D SPH , 2010 .

[37]  Ping Dong,et al.  Improved SPH simulation of wave motions and turbulent flows through porous media , 2016 .

[38]  Stephan T. Grilli,et al.  Numerical study of three-dimensional overturning waves in shallow water , 2006, Journal of Fluid Mechanics.

[39]  M. Damodaran,et al.  Parallel Three Dimensional Direct Simulation Monte Carlo for Simulating Micro Flows , 2009 .

[40]  Hitoshi Gotoh,et al.  SPH-LES Model for Numerical Investigation of Wave Interaction with Partially Immersed Breakwater , 2004 .

[41]  Robert A. Dalrymple,et al.  Using a Three-Dimensional Smoothed Particle Hydrodynamics Method for Wave Impact on a Tall Structure , 2004 .

[42]  Ping Dong,et al.  Wave Impact Simulations by an Improved ISPH Model , 2014 .

[43]  Songdong Shao,et al.  Incompressible SPH flow model for wave interactions with porous media , 2010 .

[44]  A. Colagrossi,et al.  Numerical simulation of interfacial flows by smoothed particle hydrodynamics , 2003 .

[45]  Yong-Sik Cho,et al.  Generation of 3D regular and irregular waves using Navier–Stokes equations model with an internal wave maker , 2013 .