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Propagation and run-up of nearshore tsunamis with HLLC approximate Riemann solver
Authors:Dae-Hong Kim  Yong-Sik Cho  Yong-Kon Yi  
Institution:aDepartment of Civil Engineering, Texas A & M University, College Station, TX 77843 3136, USA;bDepartment of Civil Engineering, Hanyang University, 17, Haengdang-dong, Seongdong-gu, Seoul 133 791, Republic of Korea;cKorea Institute of Water and Environment, Korea Water Resources Corporation, 462-1, Jeonmin-dong, Yusung-gu, Daejeon 305 30, Republic of Korea
Abstract:A numerical model describing the propagation and run-up process of nearshore tsunamis in the vicinity of shorelines is developed based on an approximate Riemann solver. The governing equations of the model are the nonlinear shallow-water equations. The governing equations are discretized explicitly by using a finite volume method. The nonlinear terms in the momentum equations are solved with the Harten-Lax-van Leer-Contact (HLLC) approximate Riemann solver. The developed model is first applied to prediction of water motions in a parabolic basin, and propagation and subsequent run-up process of nearshore tsunamis around a circular island. Computed results are then compared with available analytical solutions and laboratory measurements. Very reasonable agreements are observed.
Keywords:Shallow-water equations  HLLC approximate Riemann solver  Nearshore tsunami  Run-up
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