收稿日期: 2018-10-18
网络出版日期: 2021-02-28
基金资助
国家自然科学基金资助项目(11672173);国家自然科学基金资助项目(11272195)
On the construction and performance of high-order smooth boundary elements
Received date: 2018-10-18
Online published: 2021-02-28
田钰, 和东宏, 马杭 . 高次光滑边界单元的构建与性能[J]. 上海大学学报(自然科学版), 2021 , 27(1) : 161 -170 . DOI: 10.12066/j.issn.1007-2861.2108
Based on Lagrange interpolation polynomials, this study realizes computer automated generation of coefficients of shape functions for high-order boundary elements. This study constructs the high-order smooth boundary elements based on existing closure elements by utilising the geometrical properties of particles. Numerical examples show that, when compared with the use of traditional quadratic and closure elements, using high-order smooth elements can greatly improve the accuracy and efficiency in simulating particles with elliptical and ellipsoidal shapes.
Key words： boundary element; high-order element; closure element; smooth element
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