Abstract

The air-water two-phase flow model is developed to study the transformation of monochromatic waves passing over the submerged structure. The level set method is employed to describe the motion of the interface while the effect of the immersed object on the fluid is resolved using the ghost-cell immersed boundary method. The computational domain integrated with the air-water and fluid-solid phases allows the use of uniform Cartesian grids. The model simulates the wave generation, wave decomposition over a submerged trapezoidal breakwater, and the formation of the vortices as well as the drag and lift forces caused by the surface waves over three different configurations of the submerged structures. The numerical results show the capability of the present model to accurately track the deformation of the free surface. In addition, the variation of the drag and lift forces depend on the wavelength and wave induced vortices around the submerged object. Hence, the study observes that the triangular structure experiences the relatively small wave force.

Highlights

  • There are great demands to protect coast from the impact of ocean wave forces

  • The approach has attracted a great deal of interest to simulate the fluid flows with embedded bodies in various fields, for example, the prediction of turbulent flow around the solid cylinder [19], development of ghost-cell immersed boundary method (GCIBM) to model the complex geometries over a wavy boundary and a three dimensional bump [20], combination of Lattice Boltzmann and IB method to study the transport and deformation of capsules [21,22], and simulations of the air-water entrainment and wave breaking [23,24]

  • The results indicate that the present numerical scheme is capable of accurately predicting the surface distortion with the rapid growth of the higher harmonic waves at the air-water interface with high resolution

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Summary

A Ghost-Cell Immersed Boundary Method for

Master’s Program in Offshore Wind Energy Engineering, College of Maritime, National Kaohsiung.

Introduction
Governing Equation
Level Set Method
Numerical Scheme Based on Projection Method
Evaluation of Forcing
Uniform
The Numerical Procedure
Monochromatic
The numerical flume is consistent with the physical
Theafter incident each stationThe from
Wave Transformation with Three Wavelengths
Simulation
Progressive Waves Over Three Types of Submerged Breakwaters
Wave Transformations
Velocity Patterns Around the Objects
11. Time history ofofsurface withthe the incident wave height
13. Instantaneously passing over the semicircular submerged structure for
Simulations of Drag and Lift Forces
16. Simulation
Conclusions
Full Text
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