基于去奇异边界元法的二维数值波浪水池计算参数影响分析  

Influence Analysis of Calculation Parameters in Two-dimensional Numerical Wave Tank Based on Dbiem

作　　者：杨师宇 吴静萍[1] 汪敏[1] 陈昌哲 YANG Shiyu;WU Jingping;WANG Min;CHEN Changzhe(School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, Wuhan 430063, China;School of Naval Architecture, Ocean and Civil Engineering, Shanghai JiaoTong University, Shanghai 200240, China)

机构地区：[1]武汉理工大学船海与能源动力工程学院,武汉430063 [2]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《武汉理工大学学报（交通科学与工程版）》2021年第5期912-918,共7页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：国家自然科学基金(51679177)。

摘　　要：基于势流理论和去奇异边界元法,采用混合欧拉-拉格朗日法追踪瞬时自由面,运用四阶Adams-Bashforth-Moulton预测-校正法更新下一时间步的波面抬高和自由面速度势,构建了一种适合于二维弱非线性计算的数值波浪水池.考虑去奇异边界元法源点数量、去奇异距离与时间步长对计算精度的影响,改变源点数量、去奇异距离与时间步长三种计算参数,计算了一个二阶Stokes波沿水池的传播.将所得的数值计算结果与二阶Stokes波解析解进行比较,综合考虑计算精度与计算效率,给出了计算参数的参考值.Based on the potential flow theory and the singular boundary element method,the mixed Euler-Lagrange method was used to track the instantaneous free surface,and the fourth-order Adams-Bashforth-Moulton prediction-correction method was used to update the wave surface elevation and free surface velocity potential in the next time step,thus constructing a numerical wave basin suitable for two-dimensional weak nonlinear calculation.Considering the influence of the number of source points,the distance and the time step on the calculation accuracy,the three calculation parameters of the number of source points,the distance and the time step were changed to simulate the propagation of a second-order Stokes wave along the pool.The numerical results were compared with the analytical solution of the second-order Stokes wave,and the reference values of the calculation parameters were given considering the calculation accuracy and efficiency.

关 键 词：数值波浪水池 势流理论 去奇异边界元法 混合欧拉-拉格朗日法 二阶Stokes波 

分 类 号：U661[交通运输工程—船舶及航道工程]