Formulation and verification of a three-dimensional mathematical model of flow transport with complicated boundaries

In this paper, a three-dimensional numerical model of water flow is developed. The orthogonal and a grid system in horizontal and vertical direction are used respectively to fit the irregular distribution of channel plane, bed topography and water surface. The collocated grid arrangements and momentum interpolated method are utilized to avoid the distribution of the checkerboard pressure in the calculation. The turbulent flow equations are solved by the finite-volume method and the modified quick scheme is utilized for the advection term. The SIMPLE C method is used to solve the hydrodynamic pressure distribution and the flow velocity field. The calculated results of flow in the curved channel and deep trench are well agreed with the measured values. It shows that the model can be applied to simulate the flow transport with complicated boundaries.