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论文类型：期刊论文

发表时间：2005-01-01

发表刊物：CHINA OCEAN ENGINEERING

收录刊物：Scopus、SCIE、ISTIC

卷号：19

期号：3

页面范围：349-364

ISSN号：0890-5487

关键字：finite volume method; nonlinear shallow water equation; monotonic upstream schemes for conservation laws; run-up; moving shoreline boundary

摘要：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.