Application of a high-resolution scheme in simulation of flow in curved channel using boundary-fitted curvilinear coordinates

This paper demonstrates the effectiveness of a high-resolution numerical scheme in boundary-fitted curvilinear coordinates for simulation of flow at channel bends. two-dimensional shallow waterequations, which are transformed from physical domain to computational domain, are solved by a robusthigh-resolution scheme particularly developed for boundary-fitted curvilinear coordinates. finite-volumemethod is adopted for discretization of governing equations in computational domain. turbulence shearstresses are included in the model by eddy-viscosity approach. moreover, the effect of secondary flow,which is significant in channel bends, has been included in the model and the results have been comparedwith the results achieved by neglecting this phenomenon. secondary flow intensity is evaluated by ananalytical approach; the deviation of bed shear stress from main flow is related to secondary flow intensityand is considered in the model as well. all numerical results are compared with experimental data andthey show satisfactory agreement.