• Title/Summary/Keyword: shaiiow-water equations

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Analysis of Shallow-Water Equations with HLLC Approximate Riemann Solver (HLLC Approximate Riemann Solver를 이용한 천수방정식 해석)

  • Kim, Dae-Hong;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.37 no.10
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    • pp.845-855
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    • 2004
  • The propagation and associated run-up process of nearshore tsunamis in the vicinity of shorelines have been analyzed by using a two-dimensional numerical model. The governing equations of the model are the nonlinear shallow-water equations. They are discretized explicitly by using a finite volume method and the numerical fluxes are reconstructed with a HLLC approximate Riemann solver and weighted averaged flux method. The model is applied to two problems; The first problem deals with water surface oscillations, while the second one simulates the propagation and subsequent run-up process of nearshore tsunamis. Predicted results have been compared to available analytical solutions and laboratory measurements. A very good agreement has been observed.