Voronoi杂交渗流通量有限元方法研究

罗超; 张蕊; 郭然; 盖文海

doi:10.21656/1000-0887.460148

Voronoi杂交渗流通量有限元方法研究

doi: 10.21656/1000-0887.460148

罗超¹,
张蕊^1, ,,
郭然¹,
盖文海²

1. 昆明理工大学建筑工程学院，昆明 650500;
2. 云南交通职业技术学院公路与建筑学院，昆明 650500

基金项目:

国家自然科学基金（12062007）；云南省“兴滇英才”支持计划基金（12072135）

详细信息

作者简介:
罗超（1997—），男，硕士生(E-mail: 20232110004@stu.kust.edu.cn)；张蕊（1982—），女，教授，博士生导师(通信作者. E-mail: zrui0310@163.com).

通讯作者:
张蕊（1982—），女，教授，博士生导师(通信作者. E-mail: zrui0310@163.com).

中图分类号: O343
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- 文章访问数: 11
- HTML全文浏览量: 2
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2025-08-19
- 修回日期: 2025-09-12
- 网络出版日期: 2026-07-03
- 刊出日期: 2026-06-01

Investigation of a Voronoi-Based Hybrid Seepage Flux Finite Element Method

LUO Chao¹,
ZHANG Rui^{1
, ,},
GUO Ran¹,
GAI Wenhai²

1. Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, P.R. China;
2. School of Highway and Construction Engineering, Yunnan Communications Vocational and Technical College, Kunming 650500,P.R. China

Funds:

The National Science Foundation of China(12062007)

摘要

摘要: 针对土石混合体和各向异性特征的天然土质坝基，将其视为一种复合多孔介质土体模型，假定渗流为二维Darcy流，水头在土石混合体内连续.构建了考虑土石界面的非均质土石混合体渗流场和各向异性均质坝基渗流场的杂交渗流通量有限元（HS-FEM）求解模型，该模型在单元域内假设独立的高阶渗流通量变量，同时在单元边界上给定水头值，仅需少数单元即可模拟考虑土石界面的承压渗流工况，避免了传统有限元法在界面处进行密集网格细化的弊端，亦可解决二维正交各向异性稳态线性渗流问题.验证算例表明：该方法在保持稀疏离散化的前提下，获得了与传统密集网格有限元相当的计算精度.
- 杂交渗流通量有限元法（HS-FEM） /
- 渗流分析 /
- 复合材料
Abstract: The soil-rock mixtures and naturally anisotropic dam foundations were treated as composite porous media, and the seepage flow was assumed to follow 2D Darcy’s law with continuous hydraulic head distributions within the soil-rock mixture. A hybrid seepage flux finite element method (HS-FEM) model was developed for analyzing seepage fields in soil-rock mixtures with interfaces and anisotropic homogeneous dam foundations. For this model, independently assumed higher-order seepage flux variables was adopted within element domains with hydraulic head values prescribed on element boundaries. Only a limited number of elements were required to effectively simulate confined seepage conditions involving soil-rock interfaces, thereby to overcome the drawback of traditional FEMs necessitating dense mesh refinement at material interfaces. Additionally, the method is capable of solving 2D orthotropic steady-state linear seepage problems. Numerical examples demonstrate that the proposed HS-FEM achieves comparable accuracy to traditional dense-mesh FEMs while maintaining computational efficiency through sparse discretization.
- hybrid seepage flux finite element method (HS-FEM) /
- seepage analysis /
- composite material

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