Research on hydrodynamic pressure field causing by ship moving in mixed flow

Based on the potential flow theory, shallow-water wave equation, slender-ship method, and continuous matched condition between inner and outer waters, the mathematical models of SHPF of sub-subcritical, sub-supercritical, and super-supercritical mixed flows in stepped canal are established, meanwhile, their characteristics are obtained and analyzed by numerical calculation. Simplifying the stepped canal to rectangular canal, the mathematical models and numerical calculation methods are verified by comparing the calculated results with the experimental ones. The influence among SHPF, sidewall, step and bottom are analyzed, the closer step, sidewall or bottom result in much wider waters and sidewalls will be under the influence of SHPF in super-supercritical mixed flow, and the SHPF of sub-supercritical mixed flow possesses the subcritical and supercritical mixed characteristics, which exists greater influence among SHPF, step, sidewall, and bottom.