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

Authors :
Lidija Zdravković
Wenjie Cui
David M. Potts
Klementyna A. Gawecka
David M. G. Taborda
Engineering and Physical Sciences Research Council
Geotechnical Consulting Group
Source :
Computers and Geotechnics. 100:158-173
Publication Year :
2018
Publisher :
Elsevier BV, 2018.

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.

Details

ISSN :
0266352X
Volume :
100
Database :
OpenAIRE
Journal :
Computers and Geotechnics
Accession number :
edsair.doi.dedup.....15b2dd85cc2f0ed7d30e3003f0dedfdc
Full Text :
https://doi.org/10.1016/j.compgeo.2018.04.013