高次光滑边界单元的构建与性能

doi:10.12066/j.issn.1007-2861.2108

Abstract

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

CLC Number:

O241

TIAN Yu, HE Donghong, MA Hang. On the construction and performance of high-order smooth boundary elements[J]. Journal of Shanghai University（Natural Science Edition）, 2021, 27(1): 161-170.

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URL: https://www.journal.shu.edu.cn/EN/10.12066/j.issn.1007-2861.2108

https://www.journal.shu.edu.cn/EN/Y2021/V27/I1/161

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