Incompressible SPH simulation of water entry of a free‐falling object

In this paper an incompressible smoothed particle hydrodynamics (Incom-SPH) model is used to simulate the interactions between the free surface flow and a moving object. Incom-SPH method is a two-step semi-implicit hydrodynamic formulation of the SPH algorithm and is capable of accurately treating the free surface deformations and impact forces during the solid–fluid interactions. For a free-falling object, its motion is tracked by an additional Lagrangian algorithm based on Newton's law to couple with the Incom-SPH program. The developed model is employed to investigate the water entry of a free-falling wedge. The accuracy of the computations is validated by the good agreement in predicting the relevant hydrokinematic and hydrodynamic parameters. Finally, a numerical test is performed to study the influence of spatial resolution on the water entry features. The Incom-SPH modeling coupled with the solid–fluid interaction algorithm could provide a promising computational tool to predict the slamming problems in coastal and offshore engineering. Copyright © 2008 John Wiley & Sons, Ltd.

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

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

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

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

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

[6]  Martin Greenhow,et al.  Water entry and exit of horizontal circular cylinders , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

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

[8]  Roozbeh Panahi,et al.  DEVELOPMENT OF A VOF-FRACTIONAL STEP SOLVER FOR FLOATING BODY MOTION SIMULATION , 2006 .

[9]  Pengzhi Lin,et al.  A fixed-grid model for simulation of a moving body in free surface flows , 2007 .

[10]  S. Koshizuka,et al.  International Journal for Numerical Methods in Fluids Numerical Analysis of Breaking Waves Using the Moving Particle Semi-implicit Method , 2022 .

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

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

[13]  Hitoshi Gotoh,et al.  Key issues in the particle method for computation of wave breaking , 2006 .

[14]  Touvia Miloh,et al.  Free-surface flow due to impulsive motion of a submerged circular cylinder , 1995 .

[15]  Hitoshi Gotoh,et al.  Simulating Coupled Motion of Progressive Wave and Floating Curtain Wall by SPH-LES Model , 2004 .

[16]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .