高阶面元法求解非线性船行波问题  

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

作　　者：王新宇[1,2,3] 朱仁传 陈曦[1,2,3] 宋雅岚[1,2,3] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240 [2]上海交通大学海洋工程国家重点实验室,上海200240 [3]上海交通大学高新船舶与深海开发装备协同创新中心,上海200240

出　　处：《哈尔滨工程大学学报》2018年第2期229-235,共7页Journal of Harbin Engineering University

基　　金：海洋工程国家重点实验室项目(GKZD010071)

摘　　要：针对非线性船行波问题,本文基于三维势流理论,采用Rankine源高阶面元法求解。非线性自由面条件通过定常迭代法求解,物面条件考虑船舶实际湿表面。开发数值程序实现了船体表面网格自动划分并采用不完全LU分解的预处理GMRES迭代法求解边界积分方程组。计算了无限水深下Wigley和S60船在不同航速下兴波阻力、姿态、自由面波形等,与试验结果吻合良好;计算了Wigley浅水中船侧波形及兴波阻力,分析了水深、航速对结果的影响,研究表明本文所采用的方法能够准确预报船舶兴波阻力、姿态及波形,对不同船型、不同航速、不同水深均广泛适用。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.

关 键 词：势流理论 非线性 RANKINE源 高阶面元 兴波 姿态 波形 浅水 

分 类 号：U661.31[交通运输工程—船舶及航道工程]