The numerical resolution of shallow water equations (SWE) is required in many environmental problems involving free surface flows. upwind augmented Roe’s method [2] widely used due to the robust and stable solutions it offers realistic scenarios if properly corrected deal with entropy fix wet–dry fronts. On other hand, reduced-order models (ROMs) are known achieve more efficiency terms computat...

flow regime in dam's bottom outlet is divided in pressurized flow and free surface flow by the gate located for discharge control. down stream tunnel involves high velocity multi component air –water flow studied by mathematical model. in this research work, we used finite volume mixture two phase flow model. because of high reynolds number, standard two equations k-e turbulence model was ...

The photograph in Fig. 1 (top) shows text visualized through free surface flow, which serves as a hydraulic analogy of an underexpanded two-dimensional jet at Froude number 1.35 [analogous to Mach number (Buchanan et al. 2007)]. The text is illuminated by a halogen lamp from below a water table and used as a Fig. 1 Photograph (top) of the analogy to shock cells downstream of a nozzle at Mach nu...