Improved computation of non‐linear advection in porous media using slightly modified basic finite element algorithms

Perrochet P. (1995) Improved computation of non‐linear advection in porous media using slightly modified basic finite element algorithms. International Journal for Numerical and Analytical Methods in Geomechanics, 19 7: 497-508. doi:10.1002/nag.1610190704


Author Perrochet P.
Title Improved computation of non‐linear advection in porous media using slightly modified basic finite element algorithms
Journal name International Journal for Numerical and Analytical Methods in Geomechanics   Check publisher's open access policy
ISSN 1096-9853
Publication date 1995-01-01
Sub-type Article (original research)
DOI 10.1002/nag.1610190704
Open Access Status Not yet assessed
Volume 19
Issue 7
Start page 497
End page 508
Total pages 12
Language eng
Subject 2206 Computational Mechanics
2500 Materials Science
1909 Geotechnical Engineering and Engineering Geology
2211 Mechanics of Materials
Abstract The numerical stability of standard finite element schemes applied to the advection–diffusion equation is evaluated using a space‐time eigenvalue analysis. Unlike the usual approaches which only consider temporal aspects of stability, this analysis also describes the spatial stability of the solutions. To this end, the one‐dimensional advection–diffusion equation is put into an alternative semi‐discrete form which allows the derivation of a very practical stability condition. In multidimensional flow situations the latter is applied along the streamlines by means of a tensorial corrective function that prevents excessive numerical smearing of fronts or phase interfaces. The efficiency of the procedure is illustrated by an example which successfully simulates the coupling of two low miscible fluid phases in a variably saturated porous medium. Copyright
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
 
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