Lagrangian Particle Method for Simulation of Wave Overtopping on a Vertical Seawall

A particle method, or a gridless Lagrangian method, shows the high performance in describing the complicated behavior of water surface with the fragmentation and coalescence of water. In this paper, a wave overtopping process on a vertical seawall is numerically simulated on the basis of the Navier-Stokes equation with surface-tension term, which is discretized by the MPS (moving particle semi-implicit) method belonging to the category of the particle method. An improvement of the listing process of neighboring particle is introduced to reduce the computational load. Wave overtopping process in the experiments are well reproduced by the MPS method. The predictions of the MPS method of the overtopping volume agree well with the experimental results.

[1]  Hiroshi Saeki,et al.  Three-Dimensional Large Eddy Simulation of Breaking Waves , 1999 .

[2]  H. W. Partenscky,et al.  NUMERICAL MODELLING OF BREAKING WAVE IMPACTS ON A VERTICAL WALL , 1995 .

[3]  Takashi Yabe,et al.  Unified Numerical Procedure for Compressible and Incompressible Fluid , 1991 .

[4]  John T. Batina,et al.  A gridless Euler/Navier-Stokes solution algorithm for complex-aircraft applications , 1993 .

[5]  S. Koshizuka A particle method for incompressible viscous flow with fluid fragmentation , 1995 .

[6]  Robert L. Street,et al.  A computer study of finite-amplitude water waves , 1970 .

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

[8]  Shigeo Takahashi,et al.  INTERIM DEVELOPMENT OF A NUMERICAL WAVE FLUME FOR MARITIME STRUCTURE DESIGN , 1999 .

[9]  Kazuo Nadaoka,et al.  A COMPUTATIONAL METHOD FOR TWO-PHASE FLOW WITH A MOVING BOUNDARY BASED ON A GAL MODEL , 1999 .

[10]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[11]  Koji Kawasaki,et al.  NUMERICAL SIMULATION OF BREAKING AND POST-BREAKING WAVE DEFORMATION PROCESS AROUND A SUBMERGED BREAKWATER , 1999 .

[12]  Kuang-An Chang,et al.  Numerical Modeling of Wave Interaction with Porous Structures , 2001 .

[13]  Hitoshi Gotoh,et al.  LAGRANGIAN SIMULATION OF BREAKING WAVES USING PARTICLE METHOD , 1999 .

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

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

[16]  Hiromaru Hirakuchi,et al.  Application of a Piston-Type Absorbing Wavemaker to Irregular Wave Experiments , 1990 .

[17]  Yoshiaki Oka,et al.  A particle method for calculating splashing of incompressible viscous fluid , 1995 .

[18]  Yoshimi Goda A 2-D Random Wave Transformation Model with Gradational Breaker Index , 2004 .

[19]  Yoshiaki Oka,et al.  A particle-gridless hybrid method for incompressible flows , 1999 .

[20]  Pengzhi Lin,et al.  A numerical study of breaking waves in the surf zone , 1998, Journal of Fluid Mechanics.

[21]  Hitoshi Gotoh,et al.  REFINED SURFACE TENSION MODEL FOR LAGRANGIAN SIMULATION OF WAVE BREAKING , 2005 .

[22]  Minoru Hayashi,et al.  Gridless Numerical Analysis of Wave Breaking and Overtopping at Upright Seawall , 2001 .

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

[24]  M.R.A. van Gent,et al.  Wave Action On and In Permeable Structures , 1995 .

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

[26]  C. W. Hirt,et al.  A lagrangian method for calculating the dynamics of an incompressible fluid with free surface , 1970 .

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

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

[29]  Takashi Yabe,et al.  A universal solver for hyperbolic equations by cubic-polynomial interpolation I. One-dimensional solver , 1991 .

[30]  Gert Klopman,et al.  NUMERICAL SIMULATION OF WAVE MOTION ON AND IN COASTAL STRUCTURES , 1993 .

[31]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[32]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[33]  T. Sakai,et al.  VORTEX FORMATION IN PLUNGING BREAKER , 1986 .

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

[35]  Hidemi Mutsuda,et al.  RELATIONSHIPS OF PLUNGING JET SIZE TO KINEMATICS OF BREAKING WAVES WITH SPRAY AND ENTRAINED AIR BUBBLES , 1999 .