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Journal of Shanghai University >

2021 , Vol. 27 >Issue 1: 161 - 170

DOI: https://doi.org/10.12066/j.issn.1007-2861.2108

Research Articles

On the construction and performance of high-order smooth boundary elements

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  • School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China

Received date: 2018-10-18

  Online published: 2021-02-28

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Abstract

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

Cite this article

TIAN Yu, HE Donghong, MA Hang . On the construction and performance of high-order smooth boundary elements[J]. Journal of Shanghai University, 2021 , 27(1) : 161 -170 . DOI: 10.12066/j.issn.1007-2861.2108

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