dc.contributor.author | Linga, Gaute | |
dc.contributor.author | Møyner, Olav | |
dc.contributor.author | Nilsen, Halvor Møll | |
dc.contributor.author | Arthur, Moncorgé | |
dc.contributor.author | Lie, Knut-Andreas | |
dc.date.accessioned | 2023-12-11T14:37:23Z | |
dc.date.available | 2023-12-11T14:37:23Z | |
dc.date.created | 2020-03-23T14:57:17Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Journal of Computational Physics: X. 2020, 6, 100051. | en_US |
dc.identifier.issn | 2590-0552 | |
dc.identifier.uri | https://hdl.handle.net/11250/3106916 | |
dc.description.abstract | We discuss how to introduce local time-step refinements in a sequential implicit method for multiphase flow in porous media. Our approach relies heavily on causality-based optimal ordering, which implies that cells can be ordered according to total fluxes after the pressure field has been computed, leaving the transport problem as a sequence of ordinary differential equations, which can be solved cell-by-cell or block-by-block. The method is suitable for arbitrary local time steps and grids, is mass-conservative, and reduces to the standard implicit upwind finite-volume method in the case of equal time steps in adjacent cells. The method is validated by a series of numerical simulations. We discuss various strategies for selecting local time steps and demonstrate the efficiency of the method and several of these strategies by through a series of numerical examples. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | An implicit local time-stepping method based on cell reordering for multiphase flow in porous media | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © 2020 The Author(s). Published by Elsevier Inc. | en_US |
dc.source.journal | Journal of Computational Physics: X | en_US |
dc.identifier.doi | 10.1016/j.jcpx.2020.100051 | |
dc.identifier.cristin | 1803030 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |