Floods are the most common of the natural disasters seen by human race over the past couple of decades and their frequency is forecasted to increase owing to climate change and increased human activity. Flood analysis and modeling has remained popular among engineers and scientists to reduce flood impacts and provide a safe environment to the society. Steep river, however, provide a special challenge due to their complex hydraulics resulting from a number of factors such as, high gradients, complex river morphology and limitations in bed roughness estimation. This work is focused on identifying the relationships that exist between steep river hydraulics and its topography through hydrodynamic modeling of idealized steep rivers carrying idealized discharges. Different hydraulic and topographic parameters were analyzed to assess their interdependencies. Discharge was found to be the most influential parameters. Moreover, the influence of river geometry (both longitudinal and cross-sectional) is also quite significant. River bends and cross-sectional contractions also influence the river’s hydrodynamics and present a challenge to river bank stability during floods.