A solution of ship waves with nonlinear free surface by high order panel method

作者：Wang, Xinyu; Zhu, Renchuan^*; Chen, Xi; Song, Yalan

来源：Journal of Harbin Engineering University, 2018, 39(2): 229-235.

DOI：10.11990/jheu.201608062

• Nonlinear
• Panel methods
• Potential-flow theory
• Rankine source
• Shallow waters
• Ship waves
• Sinkage and trim
• Wave profiles

According to prediction of wave-making resistance, attitude and waveform, nonlinear problem of ship waves was solved numerically within the frame of three-dimensional potential flow theory by using high order panel method. The combined free surface condition was adopted with all the nonlinear terms remained. At each iteration, nonlinear free surface condition and wet hull surface condition were strictly satisfied on real surfaces. B-spline surface interpolation was applied to original offsets data for hull mesh generation automatically during iterations. A preconditioned Generalized Minimal Residual method (GMRES) that adopts incomplete LU decomposition was employed to solve the discretized boundary integral equations in order to improve the computational efficiency. Ship wave problems in the water with infinite and finite depth were solved and verified. In the water of infinite depth, the wave-making drag, sinkage, trim and wave profile of Wigley and S60 hull were calculated and the numerical results were in good agreement with experimental data. In the water of finite depth, the method was applied for Wigley hull voyaging with various speeds in the water with different depth, the wave drag and wave profile and the effects of water depth and speed on wave resistance and wave profile were investigated. It indicates that present method is accurate and suitable for predicting sinkage, trim and wave profile.

• 出版日期2018
• 单位上海交通大学