Numerical modelling of regular wave slamming on subface of open-piled structures with the corrected SPH method

Abstract The paper presents a 2D SPH numerical flume to investigate regular wave slamming on an open-piled structure. The model employs CSPM and Riemann solution to discretize the Navier–Stokes equations. Solid boundaries are simulated by wall particles. The pressure of these dummy particles is determined by a coupling approach, which can keep the pressure field more stable near the boundaries. In addition, an improved wall particles treatment is used for accurate tracking of impacting characteristics around the structure. Then, the improved SPH model is employed to simulate regular wave impacting on the subface of the structure. The main features of velocity field and pressure field near the structure are presented. And the model is validated against the experimental data and a relative good agreement is observed.

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

[2]  Ingar Scherf,et al.  Subsidence of the Ekofisk Platforms: Wave in Deck Impact Study — Various Wave Models and Computational Methods , 2002 .

[3]  S. A. Medin,et al.  Improvements in SPH method by means of interparticle contact algorithm and analysis of perforation tests at moderate projectile velocities , 2000 .

[4]  A. D. Young,et al.  An Introduction to Fluid Mechanics , 1968 .

[5]  Terry R. Healy,et al.  Completeness, conservation and error in SPH for fluids , 2008 .

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

[7]  Bing Ren,et al.  Laboratory study of random wave slamming on a piled wharf with different shore connecting structures , 2005 .

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

[9]  J. Monaghan.  Particle methods for hydrodynamics , 1985 .

[10]  Joseph John Monaghan,et al.  Scott Russell’s wave generator , 2000 .

[11]  J. Bonet,et al.  Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations , 1999 .

[12]  Bing Ren,et al.  Experimental Investigation of Instantaneous Properties of Wave Slamming on the Plate , 2007 .

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

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

[15]  Nader A. Issa,et al.  Fluid motion generated by impact , 2003 .

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

[17]  Hitoshi Gotoh,et al.  Enhancement of stability and accuracy of the moving particle semi-implicit method , 2011, J. Comput. Phys..

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

[19]  Edmond Y.M. Lo,et al.  Simulation of near-shore solitary wave mechanics by an incompressible SPH method , 2002 .

[20]  P Kaplan,et al.  THEORETICAL ANALYSIS OF WAVE IMPACT FORCES ON PLATFORM DECK STRUCTURES , 1995 .

[21]  J. K. Chen,et al.  An improvement for tensile instability in smoothed particle hydrodynamics , 1999 .

[22]  Benedicte Brodtkorb.  Prediction of Wave-in-Deck Forces on Fixed Jacket-Type Structures Based on CFD Calculations , 2008 .

[23]  Hitoshi Gotoh,et al.  Wave Impact Pressure Calculations by Improved SPH Methods , 2009 .

[24]  Antonio Souto-Iglesias,et al.  Liquid moment amplitude assessment in sloshing type problems with smooth particle hydrodynamics , 2006 .

[25]  Arthur Veldman,et al.  An Improved Volume-of-Fluid Method for Wave Impact , 2004 .

[26]  Andrea Colagrossi,et al.  A set of canonical problems in sloshing, Part I: Pressure field in forced roll-comparison between experimental results and SPH , 2009 .

[27]  Bertrand Alessandrini,et al.  An improved SPH method: Towards higher order convergence , 2007, J. Comput. Phys..