改进螺旋桨敞水性能预报的泰勒展开边界元法  

Taylor expansion boundary element method for propeller steady hydrodynamic performance prediction

作　　者：汤世昕 沈育静 陈纪康[1] 段文洋[1] TANG Shixin;SHEN Yujing;CHEN Jikang;DUAN Wenyang(College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2022年第7期928-935,共8页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(51979053)。

摘　　要：为了提高螺旋桨叶敞水压力分布预报精度,本文利用基于源偶混合分布的常值面元法以及零阶和一阶泰勒展开边界元法预报船舶螺旋桨的定常水动力性能。对于常值面元法,使用Yanagizawa发展的插值方法求得物体表面上的速度分布;零阶泰勒展开边界元法通过直接求解速度势并对格林公式诱导获得速度分布;一阶泰勒展开边界元法则将诱导速度作为未知量直接求解。用3种方法预报了普通桨和侧倾桨的敞水性能以及螺旋桨盘面压力分布情况,数值结果表明零阶和一阶泰勒展开边界元法精度较高,改进了螺旋桨扭矩预报精度;同时一阶泰勒展开边界元法有效降低了导边及随边处压力分布预报的误差。In this study,in order to improve the pressure distribution prediction of propellers in open water,the constant panel method and the zero-order and first-order Taylor expansion boundary element method(TEBEM)based on the source and dipole distribution are used to predict the constant hydrodynamic performance of propellers.For the constant panel method,the interpolation method developed by Yanagizawa is used to obtain the velocity distribution on the object source.The zero-order TEBEM obtains the velocity distribution by directly solving the potential and calculating the induced velocity from Green′s identities,whereas the first-order TEBEM directly solves the induced velocity by taking the induced velocity as an unknown quantity.The open-water performance of general propellers and highly skewed propellers and pressure distribution are predicted using three numerical methods.Numerical experiments indicate that the results of the zero-order and first-order TEBEM have high accuracy,which improves the torque prediction accuracy of the propeller.At the same time,TEBEM effectively reduces the error of pressure distribution prediction at the leading edge and trailing edge.

关 键 词：船舶 螺旋桨 定常性能 速度势 泰勒展开边界元法 插值方法 压力库塔条件 压力分布 

分 类 号：U661.1[交通运输工程—船舶及航道工程]