An Explicit High Resolution Scheme for Nonlinear Shallow Water Equations

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An Explicit High Resolution Scheme for Nonlinear Shallow Water Equations

The present study develops a numerical model of the two-dimensional fully nonlinear shallow water equations (NSWE) for the wave run-up on a beach. The finite volume method (FVM) is used to solve the equations, and a second-order explicit scheme is developed to improve the computation efficiency. The numerical fluxes are obtained by the two dimensional Roe's flux function to overcome the errors caused by the use of one dimensional fluxes in dimension splitting methods. The high-resolution Godunov-type TVD upwind scheme is employed and a second-order accuracy is achieved based on monotonic upstream schemes for conservation laws (MUSCL) variable extrapolation; a nonlinear limiter is applied to prevent unwanted spurious oscillation. A simple but efficient technique is adopted to deal with the moving shoreline boundary. The verification of the solution technique is carried out by comparing the model output with documented results and it shows that the solution technique is robust.

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作 者: FANG Ke-zhao ZOU Zhi-li WANG Yan  
作者单位:State Key Laboratory of Coastal and Offshore EngineeringDalian University of Technology, Dalian 116024, China 
刊 名:中国海洋工程(英文版)  ISTIC EI SCI
英文刊名:CHINA OCEAN ENGINEERING 
年,卷(期):2005 19(3) 
分类号:P75 
关键词:finite volume method   nonlinear shallow water equation   monotonic upstream schemes for conservation laws   run-up   moving shoreline boundary  
机标关键词:Shallow Water Equationsmoving shoreline boundaryshallow water equationsfinite volume methodconservation lawstwo dimensionalnumerical modelfully nonlinearupwind schememodel outputdeal with 
基金项目:国家自然科学基金 
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