Generation and Maximum Run-up Heights of Cnoidal Waves

This paper describes the generation and maximum run-up heights of cnoidal waves with varying periods by the numerical model. The model solves the Reynolds equations and the k-epsilon equations for the turbulent analysis. To track free surface displacements, the volume of fluid(VOF) method is employed. It is shown that profiles of the numerically generated cnoidal waves agree well with analytical solutions. The computed maximum run-up heights are compared with laboratory measurements and those of the boundary element method. The present model provides more agreeable results to laboratory measurements that the boundary element model.