Abstract
SUMMARY A three-dimensional hydrodynamic model has been developed for turbulent flows with free surface. In the horizontal x‐y-plane, a boundary-fitted curvilinear co-ordinate system is adopted, while in the vertical direction, a s-co-ordinate transformation is used to represent the free surface and bed topography or lower boundary. Using the finite volume method, the convection terms are discretized using Roe’s second-order-accurate scheme. The governing equations are solved in a collocated grid system by a fractional three-step implicit algorithm that has been developed to handle the velocity‐pressure‐depth coupling problem of free surface incompressible fluid flows. The present study is the extension of previous work to three-dimensional turbulent flows. The model has been applied to three test cases. Comparison with available data shows that the model developed is successful, and is valuable to engineering application. © 1998 John Wiley & Sons, Ltd.
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