Modelling of Violent Water Wave Propagation and Impact by Incompressible SPH with First-Order Consistent Kernel Interpolation Scheme

The Smoothed Particle Hydrodynamics (SPH) method has proven to have great potential in dealing with the wave–structure interactions since it can deal with the large amplitude and breaking waves and easily captures the free surface. The paper will adopt an incompressible SPH (ISPH) approach to simulate the wave propagation and impact, in which the fluid pressure is solved using a pressure Poisson equation and thus more stable and accurate pressure fields can be obtained. The focus of the study is on comparing three different pressure gradient calculation models in SPH and proposing the most efficient first-order consistent kernel interpolation (C1_KI) numerical scheme for modelling violent wave impact. The improvement of the model is validated by the benchmark dam break flows and laboratory wave propagation and impact experiments.

[1]  Abbas Khayyer,et al.  On enhancement of energy conservation properties of projection-based particle methods , 2017 .

[2]  A. Colagrossi,et al.  On the filtering of acoustic components in weakly-compressible SPH simulations , 2017 .

[3]  K. Liao,et al.  Corrected First-Order Derivative ISPH in Water Wave Simulations , 2017 .

[4]  D. Liang,et al.  Incompressible SPH simulation of solitary wave interaction with movable seawalls , 2017 .

[5]  F. Aristodemo,et al.  SPH numerical modeling of wave–perforated breakwater interaction , 2015 .

[6]  A. Colagrossi,et al.  Prediction of energy losses in water impacts using incompressible and weakly compressible models , 2015 .

[7]  F. Aristodemo,et al.  Assessment of Dynamic Pressures at Vertical and Perforated Breakwaters through Diffusive SPH Schemes , 2015 .

[8]  Na Liu,et al.  An implicit MLS meshless method for 2-D time dependent fractional diffusion–wave equation , 2015 .

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

[10]  Xin Liu,et al.  The simulation of a landslide-induced surge wave and its overtopping of a dam using a coupled ISPH model , 2015 .

[11]  Wen-yang Duan,et al.  Incompressible SPH Based on Rankine Source Solution for Water Wave Impact Simulation , 2015 .

[12]  Xing Zheng,et al.  Comparative study of different SPH schemes on simulating violent water wave impact flows , 2014 .

[13]  Q. W. Ma,et al.  Incompressible SPH method based on Rankine source solution for violent water wave simulation , 2014, J. Comput. Phys..

[14]  Q. W. Ma,et al.  Improved MLPG_R method for simulating 2D interaction between violent waves and elastic structures , 2012, J. Comput. Phys..

[15]  Xing Zheng,et al.  Comparison of improved meshless interpolation schemes for SPH method and accuracy analysis , 2010 .

[16]  Liang,et al.  Modelling Solitary Waves and Its Impact on Coastal Houses with SPH Method , 2010 .

[17]  Juntao Zhou,et al.  MLPG_R Method for Numerical Simulation of 2D Breaking Waves , 2009 .

[18]  S. Shao,et al.  Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves , 2008 .

[19]  Q. W. Ma,et al.  A new meshless interpolation scheme for MLPG_R method , 2008 .

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

[21]  G. X. Wu,et al.  Simulation of nonlinear interactions between waves and floating bodies through a finite-element-based numerical tank , 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[22]  Deborah Greaves,et al.  Simulation of interface and free surface flows in a viscous fluid using adapting quadtree grids , 2004 .

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

[24]  V. C. Patel,et al.  Numerical simulation of unsteady multidimensional free surface motions by level set method , 2003 .

[25]  S. Shao,et al.  INCOMPRESSIBLE SPH METHOD FOR SIMULATING NEWTONIAN AND NON-NEWTONIAN FLOWS WITH A FREE SURFACE , 2003 .

[26]  S. Atluri,et al.  The Meshless Local Petrov-Galerkin (MLPG) Method: A Simple \& Less-costly Alternative to the Finite Element and Boundary Element Methods , 2002 .

[27]  Qingwei Ma,et al.  Finite element simulations of fully non-linear interaction between vertical cylinders and steep waves. Part 2: Numerical results and validation , 2001 .

[28]  Stephan T. Grilli,et al.  A fully non‐linear model for three‐dimensional overturning waves over an arbitrary bottom , 2001 .

[29]  S. Cummins,et al.  An SPH Projection Method , 1999 .

[30]  M. S. Celebi,et al.  Fully Nonlinear 3-D Numerical Wave Tank Simulation , 1998 .

[31]  Philippe Guyenne,et al.  A Fully Nonlinear Model for Three-dimensional Overturning Waves over Arbitrary Bottom 1 , 1997 .

[32]  S. Koshizuka,et al.  Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid , 1996 .

[33]  Pei Wang,et al.  An efficient numerical tank for non-linear water waves, based on the multi-subdomain approach with BEM , 1995 .

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

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

[36]  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.