A Petrov-Galerkin finite element method for 2D transient and steady state highly advective flows in porous media

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Title: A Petrov-Galerkin finite element method for 2D transient and steady state highly advective flows in porous media
Author(s): Cui, W
Gawecka, KA
Potts, DM
Taborda, DMG
Zdravkovic, L
Item 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.
Publication Date: 1-Aug-2018
Date of Acceptance: 12-Apr-2018
URI: http://hdl.handle.net/10044/1/59050
DOI: https://dx.doi.org/10.1016/j.compgeo.2018.04.013
ISSN: 0266-352X
Publisher: Elsevier
Start Page: 158
End Page: 173
Journal / Book Title: Computers and Geotechnics
Volume: 100
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/Funder: Geotechnical Consulting Group
Geotechnical Consulting Group
Engineering and Physical Sciences Research Council
Funder's Grant Number: GCG Chair
CISM_P60087
1386304
Keywords: 0905 Civil Engineering
0914 Resources Engineering And Extractive Metallurgy
0915 Interdisciplinary Engineering
Geological & Geomatics Engineering
Publication Status: Published
Online Publication Date: 2018-04-24
Appears in Collections:Faculty of Engineering
Civil and Environmental Engineering
Geotechnics



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