Computing depth-averaged flows using boundary-fitted coordinates and staggered grids

A depth-averaged nonlinear k-£ model for turbulent flows in complex geometries has been developed in a boundary-fitted coordinate system. The SIMPLEC procedure is used to develop an economical discrete method for staggered grids to analyze flows in a 90° bend. This paper describes how to change a program in rectangular coordinate into a boundary-fitted coordinate. The results compare well with experimental data for flow in a meandering channel showing the efficiency of the model and the discrete method.