| 高次光滑边界单元的构建与性能 |
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| 引用本文： | 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. |
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| 作者姓名： | 田钰 和东宏 马杭 |
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| 作者单位： | 上海大学 力学与工程科学学院, 上海 200444 |
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| 基金项目： | 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) |
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| 摘 要： | 基于 Lagrange 插值多项式, 实现了高次边界单元形函数系数的计算机自动生成. 在已有闭合单元的基础上, 充分利用粒子几何形状的特性构建了高次光滑边界单元. 数值算例表明, 与传统的二次单元和闭合单元相比, 高次光滑边界单元能够较大地提高椭圆和椭球粒子数值模拟的计算精度与效率.
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| 关 键 词： | 边界元 高次单元 闭合单元 光滑单元 |
| 收稿时间： | 2018-10-18 |
On the construction and performance of high-order smooth boundary elements |
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| TIAN Yu,HE Donghong,MA Hang.On the construction and performance of high-order smooth boundary elements[J].Journal of Shanghai University(Natural Science),2021,27(1):161-170. |
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| Authors: | TIAN Yu HE Donghong MA Hang |
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| Institution: | School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China |
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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. |
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| Keywords: | boundary element high-order element closure element smooth element |
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