期刊
FINITE ELEMENTS IN ANALYSIS AND DESIGN
卷 197, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.finel.2021.103632
关键词
Space-time FEM; Phreatic surface; Unconfined seepage flow; Moving boundary problem; Mesh moving technique
资金
- Japan Society for the Promotion of Science (JSPS) [18H03967]
- Grants-in-Aid for Scientific Research [18H03967] Funding Source: KAKEN
This paper presents a moving-mesh type Finite Element Method based on the Space-Time Finite Element Method for computing transient unconfined seepage flow through porous medium. The proposed method is effective in solving seepage problems in saturated regions.
This paper aims to develop a moving-mesh type Finite Element Method for the computation of the transient unconfined seepage flow through the porous medium. The proposed method is based on the time discontinuous Galerkin Space-Time Finite Element Method (ST/FEM). It solves the seepage problem in the saturated region. The primary unknown in ST/FEM is piezometric pressure. Fluid velocities are derived from the pressure using Darcy's law. Further, an iterative algorithm has been proposed in this paper to implement the proposed method. In each iteration step, the computation domain is updated according to the flow velocity on the phreatic boundary. Subsequently, internal nodes are moved using the mesh moving technique to accommodate the newly updated computation domain. The mesh moving technique, which is discussed in this paper, is based on an elasticity problem. ST/FEM is employed to analyze several unconfined seepage flow problems, and results of steady state solutions are compared with those available in the literature to demonstrate the efficacy of the proposed scheme.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据