Variational analysis for simulating free-surface flows in a porous medium
type: Item
instance of: scholarly article
title: Variational analysis for simulating free-surface flows in a porous medium
zbMATH Open document ID: 1329.76156
DOI: 10.1155/S1110757X03301147
author: Yanyan Li
published in: Journal of Applied Mathematics
publication date: 2005-10-31T00:00:00Z
review text: Summary: A variational formulation has been developed to solve a parabolic partial differential equation describing free-surface flows in a porous medium. The variational finite element method is used to obtain a discrete form of equations for a two-dimensional domain. The matrix characteristics and the stability criteria have been investigated to develop a stable numerical algorithm for solving the governing equation. A computer programme has been written to solve a symmetric positive definite system obtained from the variational finite element analysis. The system of equations is solved using the conjugate gradient method. The solution generates time-varying hydraulic heads in the subsurface. The interfacing free surface between the unsaturated and saturated zones in the variably saturated domain is located, based on the computed hydraulic heads. Example problems are investigated. The finite element solutions are compared with the exact solutions for the example problems. The numerical characteristics of the finite element solution method are also investigated using the example problems.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 2220734
MaRDI profile type: Publication
full work available at URL: s1110757x03301147
OpenAlex ID: W2007741138
description: scientific article