A Mixed Sub/Super Critical Flow Solver for Multiple Slope Canals

This paper introduces a numerical method for solving free surface flow in canals with bed slopes. The model is suitable for computation of flow velocity pattern and water depths. The developed numerical algorithm solves the set of shallow water equations. The set of equations contains the continuity and motion equations in horizontal plane. The effect of bed slope is included in the gravitational term of the equations of motion, while the effects of bed and wall frictions considered in the global stresses. The governing equations were converted to discrete form on unstructured mesh using the cell vertex finite volume method. The develop model is utilized for flow simulation in a number of flow regimes in prismatic canals, which have two different constant bed slope parts. The numerical results present the ability of the model to simulate supercritical flow, sub-critical flow and mixed flow in canals according to the combination of bed slopes. The accuracy of the results is assessed by comparison of computed results with the analytical solutions.

کلیدواژه ها:

Shallow Water Equations ، Finite Volume Method ، Unstructured Grid ، Multiple Bed Slope