Time-domain TEBEM method for wave added resistance of ships with forward speed
Time-domain TEBEM method for wave added resistance of ships with forward speed
复制标题
DOI：
10.1007/s00773-020-00729-2
复制
发表时间：
2020-05
影响因子：
2.6
通讯作者：
W. Duan;J. Li;J. K. Chen;S. Ma
中科院分区：
文献类型：
--
作者：
W. Duan;J. Li;J. K. Chen;S. Ma
提出了一种求解船舶在波浪中前进的三维非定常势流问题的数值方法。通过引入人工匹配面，将流场划分为内外两个区域。内部区域由船舶润湿表面和匹配表面以及部分自由表面包围。内部区域的自由表面条件由双体（DB）流动假设的扰动来表示。外部区域由匹配表面包围，其余区域具有自由表面以及无限远场辐射边界。外区域的自由面条件由均匀来流的扰动来表示。采用简单的绿色函数和瞬态自由面绿色函数分别建立了内、外区域的边界积分方程。采用泰勒展开边界元法（TEBEM）求解DB流和内外域非定常流边界元。通过匹配面上速度势和法向速度的连续性，实现了内外域流场的匹配条件。采用船舶浸湿表面上的直接压力积分来获得一阶和二阶波浪力。采用TEBEM方法对14000 TEU集装箱船在不同航速下的位移、加速度和附加阻力进行了数值预报。采用基于计算流体力学（CFD）方法的雷诺平均Navier-Stokes（RANS）方程与TEBEM方法进行了比较。物理水池试验结果也验证了数值水池计算结果的准确性。将TEBEM计算结果与实验结果进行了比较，得到了与RANS计算流体力学方法相一致的结果。然而，TEBEM更有效，更强大。
A numerical method for solving 3D unsteady potential flow problem of ship advancing in waves was put forward. The flow field was divided into an inner and an outer domain by introducing an artificial matching surface. The inner domain was surrounded by a ship-wetted surface and a matching surface as well as part of the free surface. The free-surface condition for the inner domain was formulated by perturbation about the double-body (DB) flow assumption. The outer domain was surrounded by a matching surface and the rest had a free surface as well as an infinite far-field radiation boundary. The free-surface condition for the outer domain was formulated by perturbation of the uniform incoming flow. The simple Green function and transient free-surface Green function were used to form the boundary integral equation (BIE) for the inner and outer domains, respectively. The Taylor expansion boundary element method (TEBEM) was adopted to solve the DB flow and inner-domain and outer-domain unsteady flow BIE. Matching conditions for the inner-domain flow and outer-domain flow were enforced by the continuity of velocity potential and normal velocity on the matching surface. Direct pressure integration on the ship-wetted surface was applied to obtain the first- and second-order wave forces. The numerical prediction on the displacement, acceleration and added resistance of the 14000-TEU container ship at different forward speeds were investigated by the proposed TEBEM method. Reynolds-Averaged Navier–Stokes (RANS) equations based on Computational Fluid Dynamics (CFD) method were adopted to compare with TEBEM method. The physical tank experiment results also validated the accuracy of the numerical tank results. Compared with the experimental solutions, TEBEM obtained good agreement with the RANS CFD method. TEBEM, however, was much more efficient and robust.