A Petrov-Galerkin finite element method for 2D transient and steady state highly advective flows in porous media
File(s)
Published version
Author(s)
Cui, W
Gawecka, KA
Potts, DM
Taborda, DMG
Zdravkovic, L
Type
Journal Article
Abstract
A new Petrov-Galerkin finite element method for two-dimensional (2D) highly advective flows in porous media, which removes numerical oscillations and retains its precision compared to the conventional Galerkin finite element method, is presented. A new continuous weighting function for quadratic elements is proposed. Moreover, a numerical scheme is developed to ensure the weighting factors are accurately determined for 2D non-uniform flows and 2D distorted elements. Finally, a series of numerical examples are performed to demonstrate the capability of the approach. Comparison against existing methods in the simulation of a benchmark problem further verifies the robustness of the proposed method.
Date Issued
2018-08-01
Date Acceptance
2018-04-12
Citation
Computers and Geotechnics, 2018, 100 (1), pp.158-173
ISSN
0266-352X
Publisher
Elsevier
Start Page
158
End Page
173
Journal / Book Title
Computers and Geotechnics
Volume
100
Issue
1
Copyright Statement
© 2018 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/BY/4.0/)
Sponsor
Engineering and Physical Sciences Research Council
Geotechnical Consulting Group
Geotechnical Consulting Group
Identifier
https://www.sciencedirect.com/science/article/pii/S0266352X18301095?via%3Dihub
Grant Number
1386304
CISM_P60087
GCG Chair
Subjects
Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Engineering, Geological
Geosciences, Multidisciplinary
Computer Science
Engineering
Geology
Finite element methods
2D highly advectiveflows
Porous media
CONVECTIVE-TRANSPORT-EQUATION
COMPUTATIONAL FLUID-DYNAMICS
DIFFUSION-PROBLEMS
FORMULATION
SCHEME
TIME
0905 Civil Engineering
0914 Resources Engineering and Extractive Metallurgy
0915 Interdisciplinary Engineering
Geological & Geomatics Engineering
Publication Status
Published
Date Publish Online
2018-04-24