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Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model
Joint Authors
Klein, Viviane
Peszynska, Malgorzata
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-08
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
Double-diffusion model is used to simulate slightly compressible fluid flow in periodic porous media as a macro-model in place of the original highly heterogeneous micro-model.
In this paper, we formulate an adaptive two-grid numerical finite element discretization of the double-diffusion system and perform a comparison between the micro- and macro-model.
Our numerical results show that the micro-model solutions appear to converge to the macro-model linearly with the parameter ε of periodic geometry.
For the two-grid discretization, the a priori and a posteriori error estimates are proved, and we show how to adapt the grid for each component independently.
American Psychological Association (APA)
Klein, Viviane& Peszynska, Malgorzata. 2012. Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-993865
Modern Language Association (MLA)
Klein, Viviane& Peszynska, Malgorzata. Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model. Journal of Applied Mathematics No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-993865
American Medical Association (AMA)
Klein, Viviane& Peszynska, Malgorzata. Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-993865
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993865