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Stabilized finite element methods with reduced integration techniques for miscible displacements in porous media
Author(s) -
Dias C. M.,
Coutinho A. L. G. A.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.886
Subject(s) - quadrilateral , finite element method , bilinear interpolation , porous medium , work (physics) , extended finite element method , pressure gradient , mechanics , porosity , mathematics , mixed finite element method , materials science , computer science , structural engineering , mathematical analysis , engineering , mechanical engineering , physics , composite material , computer vision
The objective of this work is to study some techniques to increase computational performance of stabilized finite element simulations of miscible displacements. We propose the use of a reduced integration technique for bilinear quadrilateral elements in the determination of the pressure and concentration fields. We also study the evaluation of pressure gradient (Darcy's velocity) by differentiation at super‐convergent points. Numerical examples are shown to validate our approach, accessing its efficiency and accuracy. Copyright © 2003 John Wiley & Sons, Ltd.