Author(s)

Te-Yung Hsieh & Jinn-Chuang Yang

Abstract

A mathematical model is developed here to solve unsteady depth- averaged shallow water flow equations. To enhance applicability, an orthogonal curvilinear coordinate system is used. The governing equations are solved by the two-step split-operator algorithm. Based on the finite-volume concept, all of the spatial derivatives are estimated with implicit central difference of second-order accuracy, while the convection terms are solved by a hybrid scheme. The effective stresses incorporates with a constant eddy-viscosity turbulence formulation to approximate the laminar and turbulent Reynolds stresses and with the secondary flow velocity profile proposed by de Vriend [1] to approximate the bend flow pattern. Two case

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