Verification of a VOF-based two-phase flow model for wave breaking and wave–structure interactions

Abstract The objective of the present study is to develop a volume of fluid (VOF)-based two-phase flow model and to discuss the applicability of the model to the simulation of wave–structure interactions. First, an overview of the development of VOF-type models for applications in the field of coastal engineering is presented. The numerical VOF-based two-phase flow model has been developed and applied to the simulations of wave interactions with a submerged breakwater as well as of wave breaking on a slope. Numerical results are then compared with laboratory experimental data in order to verify the applicability of the numerical model to the simulations of complex interactions of waves and permeable coastal structures, including the effects of wave breaking. It is concluded that the two-phase flow model with the aid of the advanced VOF technique can provide with acceptably accurate numerical results on the route to practical purposes.

[1]  Hiroshi Saeki,et al.  3-D EDDY STRUCTURE AROUND THE BREAKWATER HEAD WITH WAVE OVERTOPPING , 2003 .

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

[3]  沿岸開発技術研究センター,et al.  CDIT : Coastal Development Institute of Technology , 2001 .

[4]  Michael Brorsen,et al.  Source generation of nonlinear gravity waves with the boundary integral equation method , 1987 .

[5]  Chiu-On Ng,et al.  Simulation of wave propagation over a submerged bar using the VOF method with a two-equation k-e turbulence modeling , 2004 .

[6]  J. Li,et al.  Numerical simulation of moving contact line problems using a volume-of-fluid method , 2001 .

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

[8]  Qun Zhao,et al.  Numerical simulation of breaking waves by a multi-scale turbulence model , 2004 .

[9]  L YoungsD,et al.  Time-dependent multi-material flow with large fluid distortion. , 1982 .

[10]  Henk A. van der Vorst,et al.  Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..

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

[12]  Phung Dang Hieu,et al.  Numerical simulation of breaking waves using a two-phase flow model , 2004 .

[13]  C. M. Lemos A simple numerical technique for turbulent flows with free surfaces , 1992 .

[14]  Qun Zhao,et al.  NUMERICAL SIMULATION OF BREAKING WAVES BY LARGE EDDY SIMULATION AND VOF METHOD , 1999 .

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

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

[17]  K. W. Morton,et al.  Numerical methods for fluid dynamics , 1987 .

[18]  Dong-Soo Hur,et al.  Numerical estimation of the wave forces acting on a three-dimensional body on submerged breakwater , 2003 .

[19]  T. Sakakiyama,et al.  NUMERICAL SIMULATION OF NONLINEAR WAVE INTERACTING WITH PERMEABLE BREAKWATERS , 1993 .

[20]  J. Kirby,et al.  Observation of undertow and turbulence in a laboratory surf zone , 1994 .

[21]  Do-Sam Kim,et al.  BREAKING LIMIT, BREAKING AND POST-BREAKING WAVE DEFORMATION DUE TO SUBMERGED STRUCTURES , 1997 .

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

[23]  Qun Zhao,et al.  A Two-Dimensional Multi-Scale Turbulence Model for Breaking Waves , 2001 .

[24]  C. W. Hirt,et al.  SOLA-VOF: a solution algorithm for transient fluid flow with multiple free boundaries , 1980 .

[25]  Akihide Tada,et al.  Applicability of numerical models to nonlinear dispersive waves , 1995 .

[26]  P. Bradshaw,et al.  Turbulence Models and Their Application in Hydraulics. By W. RODI. International Association for Hydraulic Research, Delft, 1980. Paperback US $15. , 1983, Journal of Fluid Mechanics.

[27]  Ching-Jer Huang,et al.  Structural permeability effects on the interaction of a solitary wave and a submerged breakwater , 2003 .

[28]  Ching-Jer Huang,et al.  Wave deformation and vortex generation in water waves propagating over a submerged dike , 1999 .

[29]  Tsutomu Sakakiyama,et al.  A numerical model for wave motions and turbulence flows in front of a composite breakwater , 2002 .

[30]  M.R.A. van Gent,et al.  Wave Interaction with Permeable Coastal Structures , 1995 .

[31]  Pengzhi Lin,et al.  A numerical study of solitary wave interaction with rectangular obstacles , 2004 .

[32]  Kazuo Nadaoka,et al.  Development of a numerical wave tank for analysis of nonlinear and irregular wave field , 1991 .

[33]  E. Puckett,et al.  A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows , 1997 .

[34]  Scott F. Bradford Numerical Simulation of Surf Zone Dynamics , 2000 .

[35]  J. Kirby,et al.  Dynamics of surf-zone turbulence in a strong plunging breaker , 1995 .

[36]  E. Tadmor,et al.  Non-oscillatory central differencing for hyperbolic conservation laws , 1990 .

[37]  Erik Damgaard Christensen,et al.  Vertical variation of the flow across the surf zone , 2002 .

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

[39]  Caskey,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS I . THE BASIC EXPERIMENT , 1962 .

[40]  William G. McDougal,et al.  BEM-FEM COMBINED ANALYSIS OF NONLINEAR INTERACTION BETWEEN WAVE AND SUBMERGED BREAKWATER , 1997 .

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

[42]  Katsutoshi Tanimoto,et al.  Simulation of Wave Transformation in Vertical Permeable Structure , 2003 .

[43]  D. Ian Austin,et al.  A NUMERICAL MODEL OF WAVE/BREAKWATER INTERACTIONS , 1982 .

[44]  J. Kirby,et al.  Dynamics of surf-zone turbulence in a spilling breaker , 1996 .

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

[46]  Dang Hieu Phung Numerical simulations of wave-structure interactions based on two-phase flow model , 2004 .

[47]  Phung Dang Hieu Numerical simulations of wave-structure interactions based on two-phase flow model = 二相流モデルによる波と構造物の相互作用に関する数値シミュレーション , 2004 .

[48]  Nasser Ashgriz,et al.  FLAIR: fluz line-segment model for advection and interface reconstruction , 1991 .