Numerical simulations of wave interactions with vertical wave barriers using the SPH method

SUMMARY This paper focuses on the fluid boundary separation problem of the conventional dynamic solid boundary treatment (DSBT) and proposes a modified DSBT (MDSBT). Classic 2D free dam break flows and 3D dam break flows against a rectangular box are used to assess the performance of this MDSBT in free surface flow and violent fluid–structure interaction, respectively. Another test, water column oscillations in a U-tube, is specially designed to reveal the applicability of dealing with two types of particular boundaries: the wet–dry solid boundary and the large-curvature solid boundary. A comparison between the numerical results and the experimental data shows that the MDSBT is capable of eliminating the fluid boundary separation, improving the accuracy of the solid boundary pressure calculations and preventing the unphysical penetration of fluid particles. Using a 2D SPH numerical wave tank with MDSBT, the interactions between regular waves and a simplified vertical wave barrier are simulated. The numerical results reveal that the maximum horizontal force occurs at the endpoint of the vertical board, and with the enlargement of the relative submerged board length, the maximum moment grows linearly; furthermore, the relative average mass transportation under the breakwater initially increases to 11.14 per wave strike but is later reduced. The numerical simulation of a full-scale 3D wave barrier with two vertical boards shows that the wave and structure interactions in the practical project are far more complicated than in the simplified 2D models. The SPH model using the MDSBT is capable of providing a reference for engineering designs. Copyright © 2014 John Wiley & Sons, Ltd.

[1]  Xing Ye Ni,et al.  Numerical Simulation of Wave Overtopping Based on DualSPHysics , 2013 .

[2]  W. R. Dean,et al.  The effect of a fixed vertical barrier on surface waves in deep water , 1947, Mathematical Proceedings of the Cambridge Philosophical Society.

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

[4]  C. K. Thornhill,et al.  Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane , 1952, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[5]  Songdong Shao,et al.  Incompressible SPH simulation of water entry of a free‐falling object , 2009 .

[6]  Benedict D. Rogers,et al.  SPH Modeling of Tsunamis , 2008 .

[7]  Inigo J. Losada,et al.  PROPAGATION OF OBLIQUE INCIDENT WAVES PAST RIGID VERTICAL THIN BARRIERS , 1992 .

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

[9]  D. Graham,et al.  Comparison of incompressible and weakly-compressible SPH models for free-surface water flows , 2010 .

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

[11]  Arthur Veldman,et al.  A Volume-of-Fluid based simulation method for wave impact problems , 2005 .

[12]  J. Monaghan Why Particle Methods Work , 1982 .

[13]  Francis Leboeuf,et al.  Free surface flows simulations in Pelton turbines using an hybrid SPH-ALE method , 2010 .

[14]  Paul W. Cleary,et al.  Modelling confined multi-material heat and mass flows using SPH , 1998 .

[15]  Robert L. Wiegel,et al.  Transmission of Waves Past a Rigid Vertical Thin Barrier , 1960 .

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

[17]  A. Colagrossi,et al.  δ-SPH model for simulating violent impact flows , 2011 .

[18]  Jianzhong Chang,et al.  On the treatment of solid boundary in smoothed particle hydrodynamics , 2011, Science China Technological Sciences.

[19]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[20]  Roberto Guandalini,et al.  SPH Modeling of Solid Boundaries Through a Semi-Analytic Approach , 2011 .

[21]  Nikolaus A. Adams,et al.  A generalized wall boundary condition for smoothed particle hydrodynamics , 2012, J. Comput. Phys..

[22]  John S. Anagnostopoulos,et al.  An improved MUSCL treatment for the SPH‐ALE method: comparison with the standard SPH method for the jet impingement case , 2013 .

[23]  Dominique Laurence,et al.  Unified semi‐analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method , 2013 .

[24]  P. Liu,et al.  Wave Scattering by a Rigid Thin Barrier , 1982 .

[25]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .

[26]  B. Buchner Green water on ship-type offshore structures , 2002 .

[27]  J. Morris,et al.  Modeling Low Reynolds Number Incompressible Flows Using SPH , 1997 .

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

[29]  L. Libersky,et al.  Smoothed Particle Hydrodynamics: Some recent improvements and applications , 1996 .

[30]  Mehrdad T. Manzari,et al.  A modified SPH method for simulating motion of rigid bodies in Newtonian fluid flows , 2012 .

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

[32]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments , 2010 .