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numerical simulation of dam-break flows in bend and furcated channels
abstract a high-resolution finite-volume method for solving the conservative shallow water equations is presented in this paper. the method is based upon extending the finite-difference tvd scheme to finite-volume method considering the corresponding relationships between elements and nodes. a second-order hybrid tvd scheme with an optimum-selected limiter and a two-step runge-kutta method are utilized to discretize the integral type of the shallow water equations over arbitrary quadrilateral cells. the dam-break flows are simulated for the first time considering the cases in channels with a 180°strong bend, a 90°bifurcation and a 45°three branches. the complex characteristics of velocity and water elevation changes at both banks of the curved sections, auto-reassignment of discharges and momentum as well as vortices and super-elevation near the corner of embranchment regions in the furcated channels are displayed. the effects of wetting bed and drying bed are discussed simultaneously.
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