Numerical Modeling of Supercritical Waves in Bends with the Finite Volume Method of Roe-TVD and Appraisal of Analytical Assumptions

In this research, using the finite volume method of Roe-TVD, supercritical flow in the curved channel of Reinauer and Hager was studied and the results were compared with the analytical method of Knapp-Ippen, the numerical method of HLL and the available experimental data of Reinauer and Hager. Then, using the numerical results, the accuracy of the assumptions of the analytical method was evaluated. It was observed that the super-critical oblique standing waves are diffused along the bend way. With an inlet Froude number, Fr0