泰勒展开边界元法的船舶兴波阻力计算

Numerical calculation on wave-making resistance based on Taylor expansion boundary element method

针对分布源方法求解船舶定常兴波时需将自由面配置点前移的问题,本文基于一阶泰勒展开边界元方法构造边界积分方程。利用定常兴波势一阶导数直接求解,克服了分布源方法中定常兴波势一阶、二阶导数均需差分,构造边界积分方程复杂的问题。分别计算了Wigley船型以及S60船型的兴波阻力,给出了不同船型的波面等高线图,船侧波形图。计算结果与已发表的数值结果和试验数据吻合较好。本文方法无需对自由面配置点前移,避免配置点移动距离对数值结果的人为影响,改进了数值模拟方法的鲁棒性。

For moving the collocation points forward to simulate the wave elevation due to steady potential by the source method, this paper propose the Taylor Expansion Boundary Element Method (TEBEM) to construct the boundary integral equation. The first-order derivatives of steady potential are solved directly, which overcomes some defects of the source method, such as difference method for computing the first and second order derivatives of the steady potential, and it is difficulty to construct the boundary integral equation. The wave-making resistance on the Wigley and S60 hull at different forward speed is calculated. Compared with numerical results and experimental measurements, good agreement can be obtained for the numerical results including wave patterns and wave profiles. It isn′t necessary to shift the location of collocation points through the TEBEM method involved in this paper, which avoids the influence of shifting distance, and improves the robustness of numerical method.