dc.contributor.author | Gjennestad, Magnus Aashammer | |
dc.contributor.author | Vassvik, Morten | |
dc.contributor.author | Kjelstrup, Signe | |
dc.contributor.author | Hansen, Alex | |
dc.date.accessioned | 2018-07-12T08:59:27Z | |
dc.date.available | 2018-07-12T08:59:27Z | |
dc.date.created | 2018-06-18T20:35:07Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 2296-424X | |
dc.identifier.uri | http://hdl.handle.net/11250/2505211 | |
dc.description.abstract | We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method developed herein. The explicit methods are known to suffer from numerical instabilities at low capillary numbers. A new time-step criterion is suggested in order to stabilize them. Numerical experiments, including a Haines jump case, are performed and these demonstrate that stabilization is achieved. Further, the results from the Haines jump case are consistent with experimental observations. A performance analysis reveals that the semi-implicit method is able to perform stable simulations with much less computational effort than the explicit methods at low capillary numbers. The relative benefit of using the semi-implicit method increases with decreasing capillary number Ca, and at Ca ~ 10^-8 the computational time needed is reduced by three orders of magnitude. This increased efficiency enables simulations in the low-capillary number regime that are unfeasible with explicit methods and the range of capillary numbers for which the pore network model is a tractable modeling alternative is thus greatly extended by the semi-implicit method. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Frontiers Media | nb_NO |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Stable and efficient time integration of a dynamic pore network model for two-phase flow in porous media | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.volume | 6 | nb_NO |
dc.source.journal | Frontiers in Physics | nb_NO |
dc.identifier.doi | 10.3389/fphy.2018.00056 | |
dc.identifier.cristin | 1592056 | |
dc.relation.project | Norges forskningsråd: 262644 | nb_NO |
dc.description.localcode | Copyright © 2018 Gjennestad, Vassvik, Kjelstrup and Hansen. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). | nb_NO |
cristin.unitcode | 194,66,20,0 | |
cristin.unitcode | 194,66,25,0 | |
cristin.unitname | Institutt for fysikk | |
cristin.unitname | Institutt for kjemi | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |