计算力学学报2017，Vol.34Issue(6)：677-682,6.DOI:10.7511/jslx201706001
基于四边形积分子域的一致性高阶无网格法
Consistent high order meshfree method based on quadrilateral integration sub-domains
摘要
Abstract
The consistent high order meshfree method developed in recent years dramatically reduces the number of quadrature points and accurately passes the patch tests by developing derivative correction techniques.Consequently,it remarkably improves the computational efficiency,accuracy and convergence of meshfree computations.However,only triangular integration sub-domains can be employed in this method due to the restriction that the number of equations for derivative correction must be equal to the number of quadrature points.In this work,all the original equations for derivative correction are retained.In addition,a coplanar condition for the corrected nodal derivatives is proposed and is used to establish complementary equations.In such a way,quadrilateral integration sub-domains can be conveniently used in the consistent high order meshfree method since the total number of equations for derivative correction can be equal to the required number of quadrature points.Numerical results show that,the proposed method exactly passes patch tests and exhibits excellent accuracy,efficiency and convergence.关键词
无网格/导数修正/数值积分/分片试验/一致性Key words
meshfree/derivatives correction/numerical integration/patch test/consistency分类
数理科学引用本文复制引用
王冰冰,段庆林,李锡夔,张洪武,杨迪雄..基于四边形积分子域的一致性高阶无网格法[J].计算力学学报,2017,34(6):677-682,6.基金项目
科学挑战计划(JCKY2016212A502) （JCKY2016212A502）
国家自然科学基金(11232003,11372066) （11232003,11372066）
中央高校基本科研业务费专项资金(DUT17LK18) （DUT17LK18）
水资源与水电工程科学国家重点实验室开放基金(2015SGG03) （2015SGG03）
地质灾害防治与地质环境保护国家重点实验室开放基金(SKLGP2016K007)资助项目. （SKLGP2016K007）
