Taylor Expansion Boundary Element Method(TEBEM) is an accurate numerical scheme for solving waves and floating bodies related potential problems, especially the induced velocity at the sharp corner. However, the TEBEM method introduces too many unknowns, resulting in a decrease in the computational efficiency. In this paper, a less time consuming method with similar numerical accuracy named Partial Taylor Expansion Boundary Element Method(PTEBEM) is proposed. Firstly, research shows that the singular property at sharp corner panels is stronger than others. Therefore, retain the Taylor expansion related coefficient and the partial derivatives corresponding to the panels only can form a smaller algebraic system. After solving all the velocity potential and the partial derivatives at sharp corner panels, the partial derivatives at smooth boundary panels can be obtained by constant panel method. From the results of KVLCC2, coupled with Extended Boundary Integral Method(EBIM), the irregular frequency is eliminated. And the irregular frequency mainly comes from the water line integral term and the square of velocity term. Applying the Taylor expansion at sharp corner panels only can retain the numerical accuracy of TEBEM, and the computational efficiency is improved.

泰勒展开边界元法（TEBEM）是一种精确的数值方案，用于解决与波浪和浮体有关的潜在问题，尤其是在尖角处的感应速度。但是，TEBEM方法引入了太多未知数，从而导致计算效率降低。本文提出了一种数值精度相近的耗时较少的方法，称为部分泰勒展开边界元方法（PTEBEM）。首先，研究表明，尖角板上的奇异性比其他强。因此，保留泰勒展开相关的系数，并且仅对应于面板的偏导数可以形成较小的代数系统。解开尖角板上的所有速度势和偏导数后，光滑边界板上的偏导数可以通过常数面板法得到。根据KVLCC2的结果，结合扩展边界积分法（EBIM），消除了不规则频率。而不规则频率主要来自水线积分项和速度项的平方。仅在尖角板上应用泰勒展开式可以保留TEBEM的数值精度，并且可以提高计算效率。