Journal of Applied Mathematics and Physics, 2014, 2, 269-276

Published Online May 2014 in SciRes. http://www.scirp.org/journal/jamp

http://dx.doi.org/10.4236/jamp.2014.26032

How to cite this paper: Lin, M.-Y., Li, C.-Y. and Wang, A.-P. (2014) Particle Based Simulation for Solitary Waves Passing over

a Submerged Breakwater. Journal of Applied Mathematics and Physics, 2, 269-276.

http://dx.doi.org/10.4236/jamp.2014.26032

Particle Based Simulation for Solitary Waves

Passing over a Submerged Breakwater

Meng-Yu Lin*, Chiung-Yu Li, An-Pei Wang

Department of Civil Engineering, Chung Yuan Christian University, Chung Li 32023

Email: *mylin@cycu.edu.tw

Received Ja nu ary 2014

Abstract

This research develops a two-dimensional numerical model for the simulation of the flow due to a

solitary wave passing over a trapezoidal submerged breakwater on the basis of generalized vortex

method s. In this method, the irrotational flow field due to free surface waves is simulated by em-

ploying a vortex sheet distribution, and the vorticity field generated from the submerged object is

discretized using vortex blobs. This method reduces the difficulty in capturing the nonlinear de-

formation of surface waves, and also concentrates the computational resources in the compact re-

gion with vorticity. This numerical model was validated by conducting a set of simulations for ir-

rotational solitary waves and then compared with the results of a relevant research. The compar-

isons exhibit good agreement. The rotational flows induced by different incident wave height were

simulated and analyzed to study the effect of vorticity on the deformation and the breaking of so-

litary waves.

Keywords

Solitary Wav e , Submerged Breakwater, Vo rtex , Vortex Meth od, Particle Simulation

1. Introduction

The interaction of surface water waves with submerged structures has attracted attention in many fields of engi-

neering applications. Numerous investigations for this problem have been implemented based on potential-flow

theory with the assumption that the flow is irrotational. For example, [1] employed a boundary element method

to establish a two-dimensional numerical model for the simulation of surface waves in an irrotational, inviscid

fluid flow, and then simulated the breaking of solitary waves passing over a trapezoidal submerged breakwater.

One of the benefits of the approaches using the irrotational-flow assumption is the efficient computation by ap-

plying boundary integral methods, and these approaches usually predict the transformation of water waves ac-

curately if flow separation is not severe. For many engineering problems the effects of flow separation should

not be ignored; therefore, the studies using potential-flow theory usually only investigate the scattering of sur-

face waves (see, e.g., [2]-[4]).

This research develops a two-dimensional numerical model for the simulation of the flow due to a solitary

*Corresponding author.