Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/33031
Title: | Numerical homogenization of non-linear parabolic problems on adaptive meshes | Authors: | BASTIDAS OLIVARES, Manuela BRINGEDAL, Carina POP, Sorin Radu, Florin Adrian |
Issue Date: | 2021 | Publisher: | Elsevier | Source: | JOURNAL OF COMPUTATIONAL PHYSICS, 425 (Art N° 109903) | Abstract: | We propose an efficient numerical strategy for solving non-linear parabolic problems defined in a heterogeneous porous medium. This scheme is based on the classical homogenization theory and uses a locally mass-conservative formulation at different scales. In addition, we discuss some properties of the proposed non-linear solvers and use an error indicator to perform a local mesh refinement. The main idea is to compute the effective parameters in such a way that the computational complexity is reduced but preserving the accuracy. We illustrate the behavior of the homogenization scheme and of the non-linear solvers by performing two numerical tests. We consider both a quasi-periodic example and a problem involving strong heterogeneities in a non-periodic medium. | Keywords: | Flow in porous media;Homogenization;Mesh refinement;Non-linear solvers;MFEM | Document URI: | http://hdl.handle.net/1942/33031 | ISSN: | 0021-9991 | e-ISSN: | 1090-2716 | DOI: | 10.1016/j.jcp.2020.109903 | ISI #: | WOS:000630256300019 | Rights: | 2020 Elsevier Inc. All rights reserved | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2022 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
1s20S002199912030677X-main.pdf Restricted Access | Published version | 3.38 MB | Adobe PDF | View/Open Request a copy |
WEB OF SCIENCETM
Citations
3
checked on Oct 12, 2024
Page view(s)
74
checked on Aug 4, 2022
Download(s)
48
checked on Aug 4, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.