边界元法几乎奇异积分计算方法及其在螺旋桨性能预报中的应用  

Nearly singular integral algorithm of boundary element method and its applications to propeller performance prediction

作　　者：管延敏 陈萍 黄温赟[2] 陈庆任[3] 刘可峰[1] GUAN Yanmin;CHEN Ping;HUANG Wenyun;CHEN Qingren;LIU Kefeng(School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China;Fishery Machinery and Instrument Research Institute, Chinese Academy of Fishery Sciences, Shanghai 200092, China;Wuhan Rule and Regulation Research Institute, China Classification Society, Wuhan 430022, China)

机构地区：[1]江苏科技大学船舶与海洋工程学院,镇江212003 [2]中国水产科学研究院渔业机械仪器研究所,上海200092 [3]中国船级社武汉规范研究所,武汉430022

出　　处：《江苏科技大学学报（自然科学版）》2020年第3期1-5,共5页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(51809124,51911530156)。

摘　　要：边界元法在奇点接近区域进行影响系数计算时,高斯积分法存在几乎奇异积分,易产生误差,影响数值模拟精度.针对这一问题,采用一种四边形单元上的积分转换为4个三角形分别积分再求和的方法,解析地求得影响系数积分,实现了几乎奇异积分的精确计算.将该方法应用于螺旋桨水动力性能预报,计算了螺旋桨敞水性能和定常、非定常工况桨叶剖面压力分布,并与试验值及其他计算结果进行了比较,取得了较高的计算精度.数值算例表明文中所选用的方法是精确可靠的,对边界元法模拟三维绕流场几乎奇异积分的处理有参考价值.In the boundary element method,singular integral problems occur in the proximity of singularities,which leads to errors and affects the accuracy of numerical simulation.A precise integration method by converting the integral on quadrilateral element into the sum of four triangles is employed to improve the integration accuracy.The method is applied to propeller hydrodynamic performance prediction.The open water performance and pressure distribution of the blade profile in steady and unsteady conditions are calculated and compared with the experimental data and other numerical results.The numerical example shows that the numerical method presented in this paper is accurate and reliable.It has reference value in solving the nearly singular integral problem for the numerical simulation of three-dimensional flow field by boundary element method.

关 键 词：边界元法 几乎奇异积分 螺旋桨 性能预报 

分 类 号：U673.2[交通运输工程—船舶及航道工程]