| 基于三角形网格的无量纲最小二乘有限元法及其应用 |
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| 引用本文： | 李浩,宋艳争,刘刚,吕金潮,靳立鹏,武卫革.基于三角形网格的无量纲最小二乘有限元法及其应用[J].科学技术与工程,2023,23(21):9056-9063. |
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| 作者姓名： | 李浩 宋艳争 刘刚 吕金潮 靳立鹏 武卫革 |
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| 作者单位： | 华北电力大学(保定)电气与电子工程学院;国网冀北电力有限公司技能培训中心;华北电力大学保定电气与电子工程学院;保定天威保变电气股份有限公司 |
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| 基金项目： | 国家重点研发计划(2021YFB2401703)； |
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| 摘 要： | 利用最小二乘有限元法计算二维流体场需要采用四边形网格，而仅采用四边形单元剖分含有角环、圆角和尖角等复杂结构的电力装备二维仿真模型时往往出现网格畸变。为此，提出了一种基于三角形网格实现最小二乘有限元的方法，即在三角形剖分网格上再处理得到四边形网格，从而实现最小二乘有限元法计算流体场。为验证所提方法的有效性，分别对方腔模型和带有角环等复杂结构的变压器单分区模型进行了数值计算，并分别与规则四边形网格下的最小二乘有限元法和Fluent计算结果进行对比。对比结果表明所提出的网格处理方法可以实现含有复杂结构电力装备的二维流体场仿真。
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| 关 键 词： | 最小二乘有限元法 三角形网格 四边形网格 流场计算 |
| 收稿时间： | 2022/4/20 0:00:00 |
| 修稿时间： | 2023/7/15 0:00:00 |
Research and Application of Dimensionless Least-Squares Finite Element Method Based on Triangular Mesh |
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| Abstract: | The quadrilateral mesh is needed to calculate two-dimensional(2D) fluid field by the least square finite element method. However, the mesh distortion often occurs when only quadrilateral cells are used to mesh the 2D simulation model of power equipment, which containing complex structures such as corner rings, rounded corners and sharp corners. This paper proposes the least-squares finite element method based on triangular mesh, namely, the triangular meshing is then processed to obtain a quadrilateral mesh, so as to realize the least-squares finite element method to calculate the fluid field. In order to verify the effectiveness of the proposed method, numerical calculations are carried out for the cavity model and the transformer single partition model with complex structures such as corner rings, and the results are compared with those of the least-squares finite element method with regular quadrilateral meshes and Fluent calculations, respectively. The comparison results show that the proposed mesh processing method can realize the 2D fluid field simulation of power equipment containing complex structures. |
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| Keywords: | the least-square finite element method triangular mesh quadrilateral mesh flow field calculation |
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