Error Analysis of A New Higher Order Boundary Element Method for A Uniform Flow Passing Cylinders  

作　　者：SUN Shi-yan CUI Jie BAO Chao-ming 

机构地区：[1]School of Naval Architecture and Ocean Engineering,Jiangsu University of Science and Technology,Zhenjiang 212003,China

出　　处：《China Ocean Engineering》2023年第3期369-377,共9页中国海洋工程（英文版）

基　　金：financially supported by the National Natural Science Foundation of China (Grant Nos.52271276,52271319,and 52201364);the Natural Science Foundation of Jiangsu Province (Grant No.BK20201006)。

摘　　要：A higher order boundary element method(HOBEM)is presented for inviscid flow passing cylinders in bounded or unbounded domain.The traditional boundary integral equation is established with respect to the velocity potential and its normal derivative.In present work,a new integral equation is derived for the tangential velocity.The boundary is discretized into higher order elements to ensure the continuity of slope at the element nodes.The velocity potential is also expanded with higher order shape functions,in which the unknown coefficients involve the tangential velocity.The expansion then ensures the continuities of the velocity and the slope of the boundary at element nodes.Through extensive comparison of the results for the analytical solution of cylinders,it is shown that the present HOBEM is much more accurate than the conventional BEM.

关 键 词：higher order boundary element method(HOBEM) error analysis integral equations for potential and velocity cylinders 

分 类 号：P752[天文地球—海洋科学]