Author(s): Dang Minh Hai; Masatoshi Yuhi
Linked Author(s): Masatoshi Yuhi
Keywords: Bore Propagation; TVD-MacC ormack scheme; Complex topography
Abstract: In this study, a numerical model is developed to solve the Nonlinear Shallow Water Equations on the basis of TVD-MacC ormack scheme. The model incorporates a surface gradient method, a simple wetting and drying method and an improved surface gradient method. The well-balanced property of the model is confirmed when the water surface remains constant along the channel in the case where tidal wave runs over two steps. Then, the shock-capturing ability of the model is tested against two frictionless transcritical flow problems: the dam-break on wet bottom and the dam-break on dry bottom. These tests prove that the numerical model captures the moving shock very well in both the wet and dry bottom. In addition, the present model proves to accurately capture complex characteristics of the flow, which is induced by the dam-break wave over the mixed wet-dry bottom consisting of the triangular hump. As a case with more complexity, the model is applied to a dam break wave propagating over a triangular hump and subsequently overtopping a vertical wall. The model reasonably describes the response of the flow until the flow reaches the vertical wall. Finally, dynamics of a 3D flow is simulated. The numerical model captures well the reflective waves of the boundaries and the box.
Year: 2014