tailieunhanh - Báo cáo "Numerical study of long wave runup on a conical island "

A numerical model based on the 2D shallow water equations was developed using the Finite Volume Method. The model was applied to the study of long wave propagation and runup on a conical island. The simulated results by the model were compared with published experimental data and analyzed to understand more about the interaction processes between the long waves and conical island in terms of water profile and wave runup height. The results of the study confirmed the effects of edge waves on the runup height at the lee side of the island. . | VNU Journal of Science Earth Sciences 24 2008 79-86 Numerical study of long wave runup on a conical island Phung Dang Hieu Center for Marine and Ocean-Atmosphere Interaction Research Received 5 January 2008 received in revised form 10 July 2008 Abstract. A numerical model based on the 2D shallow water equations was developed using the Finite Volume Method. The model was applied to the study of long wave propagation and runup on a conical island. The simulated results by the model were compared with published experimental data and analyzed to understand more about the interaction processes between the long waves and conical island in terms of water profile and wave runup height. The results of the study confirmed the effects of edge waves on the runup height at the lee side of the island. Keywords Conical island Runup Finite volume method Shallow water model. 1. Introduction Simulation of two-dimensional evolution and runup of long waves on a sloping beach is a classical problem of hydrodynamics. It is usually related with the calculation of coastal effects of long waves such as tide and tsunami. Many researchers have contributed significantly efforts to the development of models capable of solving the problem. Notable studies can be mentioned. Shuto and Goto 1978 developed a numerical model based on finite difference method FDM on a staggered scheme 9 . Hibbert and Peregrine 1979 2 proposed a model solving the shallow water equation in the conservation form using the Lax-Wendroff scheme and allowing for possible calculation of wave breaking. However their model had not been capable to calculate wave runup and obtain Tel. 84-914365198. E-mail phungdanghieu@ physically realistic solutions. Subsequently Kobayashi et al. 1987 1989 1990 1992 3 4 5 6 refined the model for practical use by adding dissipation terms in the finite-difference equations what is now the most popular method for solving the shallow water equations. Liu et al. 1995 7 modeled the runup