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| Consistent high order meshfree method based on quadrilateral integration sub-domains |
| Received:February 19, 2017 Revised:March 25, 2017 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201706001 |
| KeyWord:meshfree derivatives correction numerical integration patch test consistency |
| Author | Institution |
| 王冰冰 |
大连理工大学 工业装备结构分析国家重点实验室, 辽宁 大连 |
| 段庆林 |
大连理工大学 工业装备结构分析国家重点实验室, 辽宁 大连 |
| 李锡夔 |
大连理工大学 工业装备结构分析国家重点实验室, 辽宁 大连 |
| 张洪武 |
大连理工大学 工业装备结构分析国家重点实验室, 辽宁 大连 |
| 杨迪雄 |
大连理工大学 工业装备结构分析国家重点实验室, 辽宁 大连 |
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| 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. |
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