Higher-Order Line Element Analysis of Potential Field with Slender Heterogeneities

• 作者: B.Yang H.-S.Wang H.Jiang
• 来源期刊: 计算机、材料和连续体(英文)
• 学科: 数学
• 关键词: ELECTROSTATICS Heat conduction INTEGRAL equation technique LINE element METHOD Mesh reduction method Potential field problems
• 年，卷（期）: 2016,（3）
• 页码范围: 145-161
• 页数: 17页
• 分类号: O17

摘要

Potential field due to line sources residing on slender heterogeneities is involved in various areas,such as heat conduction,potential flow,and electrostatics.Often dipolar line sources are either prescribed or induced due to close interaction with other objects.Its calculation requires a higher-order scheme to take into account the dipolar effect as well as net source effect.In the present work,we apply such a higher-order line element method to analyze the potential field with cylindrical slender heterogeneities.In a benchmark example of two parallel rods,we compare the line element solution with the boundary element solution to show the accuracy as a function in terms of rods distance.Furthermore,we use more complicated examples to demonstrate the capability of the line element technique.