With the development of inland waterway transport in our country, the demand for inland waterway navigation is increasing day by day, and the navigation safety requirements of ships are also increasing day by day. The flow condition is very important for the safe running of the ship, it not only determines the safety of the ship entering and leaving the lock, but also determines the key factor of the navigation ability of the hub. Based on the mathematical model, this paper studies the navigable flow conditions in the entrance area of the curved branching river through the modeling technology of the curved branching river, explores the peer flow characteristics of the curved branching river, and puts forward an effective measure to improve the navigable flow conditions in the entrance area of the curved river, which is of great practical significance and engineering value.