tailieunhanh - Báo cáo " Finite volume method for long wave runup: 1D model "

A numerical model using the 1D shallow water equations was developed for the simulation of long wave propagation and runup. The developed model is based on the Finite Volume Method (FVM) with an application of Godunov - type scheme of second order of accuracy. The model uses the HLL approximate Riemann solver for the determination of numerical fluxes at cell interfaces. The model was applied to the simulation of long wave propagation and runup on a plane beach and simulated results were compared with the published experimental data. The comparison shows that the present model has a power. | VNU Journal of Science Earth Sciences 24 2008 10-15 Finite volume method for long wave runup 1D model Phung Dang Hieu Center for Marine and Ocean-Atmosphere Interaction Research Vietnam Institute of Meteorology Hydrology and Environment Received 20 December 2007 received in revised form 15 February 2008 Abstract. A numerical model using the 1D shallow water equations was developed for the simulation of long wave propagation and runup. The developed model is based on the Finite Volume Method FVM with an application of Godunov - type scheme of second order of accuracy. The model uses the HLL approximate Riemann solver for the determination of numerical fluxes at cell interfaces. The model was applied to the simulation of long wave propagation and runup on a plane beach and simulated results were compared with the published experimental data. The comparison shows that the present model has a power of simulation of long wave propagation and runup on beaches. Keyivords Finite Volume Method Shallow Water Model Wave Runup. 1. Introduction Long wave runup on beaches is one of the hot challenging topics recently for the ocean and coastal engineering researchers. Frequently engineers face to problems related to the simulation or determination of wave runup in general and long wave runup in particular for practical purposes such as design of sea wall coastal structures etc. Therefore development of a good model capable of simulation of wave runup is worth for practical usage as well as for indoor researches. Researchers have developed various analytical and numerical models based on the depth integrated shallow water equations to explain the physical processes. Notable analytical results include the one-dimensional Tel. 84-4-7733090 E-mail phungdanghieu@ solution of Carrier and Greenspan 1958 for periodic wave reflection from a plane beach 1 and the asymmetric solution by Thacker 1981 6 for wave resonance in a circular parabolic basin. Synolakis 1987 5 provided .