Adaptive double-diffusion model and comparison to a highly heterogeneous micro-model
type: Item
instance of: scholarly article
title: Adaptive double-diffusion model and comparison to a highly heterogeneous micro-model
zbMATH Open document ID: 1251.76055
DOI: 10.1155/2012/938727
author: Viviane Klein
author: Małgorzata Peszyńska
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: 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 \(\varepsilon\) 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.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6106351
zbMATH Keywords: compressible fluid flows
zbMATH Keywords: periodic porous media
Wikidata QID: Q58906964
describes a project that uses: AFEM@matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/938727
OpenAlex ID: W2068846723
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description: scientific article; zbMATH DE number 6106351