This paper describes the development of a numerical model for studying
the evolution of a wave train, shoaling and breaking in the surf zone
. The model solves the Reynolds equations for the mean (ensemble avera
ge) flow field and the k-epsilon equations for the turbulent kinetic e
nergy, k, and the turbulence dissipation rate, epsilon. A nonlinear Re
ynolds stress model (Shih, Zhu & Lumley 1996) is employed to relate th
e Reynolds stresses and the strain rates of the mean flow. To track fr
ee-surface movements, the volume of fluid (VOF) method is employed. To
ensure the accuracy of each component of the numerical model, several
steps have been taken to verify numerical solutions with either analy
tical solutions or experimental data. For non-breaking waves, very acc
urate results are obtained for a solitary wave propagating over a long
distance in a constant depth. Good agreement between numerical result
s and experimental data has also been observed for shoaling and breaki
ng cnoidal waves on a sloping beach in terms of free-surface profiles,
mean velocities, and turbulent kinetic energy. Based on the numerical
results, turbulence transport mechanisms under breaking waves are dis
cussed.