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Python framework for HP adaptive discontinuous Galerkin methods for two phase flow in porous media
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Dedner, Andreas, Kane, Birane, Klöfkorn, Robert and Nolte, Martin (2019) Python framework for HP adaptive discontinuous Galerkin methods for two phase flow in porous media. Applied Mathematical Modelling, 67 . pp. 179-200. doi:10.1016/j.apm.2018.10.013 ISSN 0307-904X.
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WRAP-python-framework-HP-adaptive-discontinuous-Galerkin-methods-two-phase-flow-porous-media-Dedner-2018.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (1639Kb) | Preview |
Official URL: http://dx.doi.org/10.1016/j.apm.2018.10.013
Abstract
In this paper we present a framework for solving two-phase flow problems in porous media. The discretization is based on a Discontinuous Galerkin method and includes local grid adaptivity and local choice of polynomial degree. The method is implemented using the new Python frontend Dune-FemPy to the open source framework Dune. The code used for the simulations is made available as Jupyter notebook and can be used through a Docker container. We present a number of time stepping approaches ranging from a classical IMPES method to a fully coupled implicit scheme. The implementation of the discretization is very flexible allowing to test different formulations of the two-phase flow model and adaptation strategies.
| Item Type: | Journal Article | |||||||||||||||||||||||||||||||||||||||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||||||||||||||||||||||||||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||||||||||||||||||||||||||||||||
| Library of Congress Subject Headings (LCSH): | Two-phase flow, Galerkin methods, Python (Computer program language), Porous materials -- Fluid dynamics | |||||||||||||||||||||||||||||||||||||||||||||
| Journal or Publication Title: | Applied Mathematical Modelling | |||||||||||||||||||||||||||||||||||||||||||||
| Publisher: | Elsevier | |||||||||||||||||||||||||||||||||||||||||||||
| ISSN: | 0307-904X | |||||||||||||||||||||||||||||||||||||||||||||
| Official Date: | March 2019 | |||||||||||||||||||||||||||||||||||||||||||||
| Dates: |
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| Volume: | 67 | |||||||||||||||||||||||||||||||||||||||||||||
| Page Range: | pp. 179-200 | |||||||||||||||||||||||||||||||||||||||||||||
| DOI: | 10.1016/j.apm.2018.10.013 | |||||||||||||||||||||||||||||||||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||||||||||||||||||||||||||||||||
| Publication Status: | Published | |||||||||||||||||||||||||||||||||||||||||||||
| Reuse Statement (publisher, data, author rights): | © 2018, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/. | |||||||||||||||||||||||||||||||||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||||||||||||||||||||||||||||||||
| Date of first compliant deposit: | 18 October 2018 | |||||||||||||||||||||||||||||||||||||||||||||
| Date of first compliant Open Access: | 23 October 2019 | |||||||||||||||||||||||||||||||||||||||||||||
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