欢迎光临《计算力学学报》官方网站!
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
投稿时间:2017-02-19  修订日期:2017-03-20
DOI:
中文关键词:  无网格,导数修正,数值积分,分片试验,一致性
英文关键词:meshfree  derivatives correction  numerical integration  patch test  consistency
基金项目:科学挑战专题(JCKY2016212A502),国家自然科学基金(11232003,11372066),中央高校基本科研业务费专项资金 (DUT15LK07),水资源与水电工程科学国家重点实验室开放基金(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).
作者单位E-mail
王冰冰 大连理工大学 bingbkwang@gmail.com 
段庆林 大连理工大学 qinglinduan@dlut.edu.cn 
李锡夔 大连理工大学  
张洪武 大连理工大学  
杨迪雄 大连理工大学  
摘要点击次数: 130
全文下载次数: 
中文摘要:
      近年来提出的一致性高阶无网格法通过发展导数修正技术大幅度减少了所需积分点数目,并能够精确地通过分片试验,从而显著改善了无网格计算的效率、精度和收敛性。然而,由于导数修正方程数目须与积分点数目相匹配这一限制,该方法仅限于使用三角形积分子域。本文在保留原有导数修正方程的基础之上,提出了修正导数的共面条件,并据此建立补充方程,使得方程总数可匹配于所需的积分点数目,从而将一致性高阶无网格法方便地拓展到使用四边形积分子域。数值结果表明,所建议方法精确地通过了分片试验,并展现出极好的计算精度、效率和收敛性。
英文摘要:
      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.
  查看/发表评论  下载PDF阅读器
关闭
您是第3184998位访问者
版权所有:《计算力学学报》编辑部
本系统由 北京勤云科技发展有限公司设计