dc.contributor.author | Tyvand, Peder A. | |
dc.contributor.author | Nøland, Jonas Kristiansen | |
dc.contributor.author | Storesletten, Leiv | |
dc.date.accessioned | 2020-03-30T07:42:55Z | |
dc.date.available | 2020-03-30T07:42:55Z | |
dc.date.created | 2019-03-13T12:34:29Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Tyvand, P. A., Nøland, J. K. & Storesletten, L. (2019). A Non-normal-Mode Marginal State of Convection in a Porous Rectangle. Transport in Porous Media, 128(2), 633-651. doi: | en_US |
dc.identifier.issn | 0169-3913 | |
dc.identifier.uri | https://hdl.handle.net/11250/2649286 | |
dc.description | Author's accepted manuscript (postprint). | en_US |
dc.description | This is a post-peer-review, pre-copyedit version of an article published in Transport in Porous Media. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11242-019-01263-5. | |
dc.description.abstract | The fourth-order Darcy–Bénard eigenvalue problem for onset of thermal convection in a 2D rectangular porous box is investigated. The conventional type of solution has normal-mode dependency in at least one of the two spatial directions. The present eigenfunctions are of non-normal-mode type in both the horizontal and the vertical direction. A numerical solution is found by the finite element method, since no analytical method is known for this non-degenerate fourth-order eigenvalue problem. All four boundaries of the rectangle are impermeable. The thermal conditions are handpicked to be incompatible with normal modes: The lower boundary and the right-hand wall are heat conductors. The upper boundary has given heat flux. The left-hand wall is thermally insulating. The computed eigenfunctions have novel types of complicated cell structures, with intricate internal cell walls. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.title | A Non-normal-Mode Marginal State of Convection in a Porous Rectangle | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | acceptedVersion | en_US |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
dc.source.pagenumber | 633-651 | en_US |
dc.source.volume | 128 | en_US |
dc.source.journal | Transport in Porous Media | en_US |
dc.source.issue | 2 | en_US |
dc.identifier.doi | 10.1007/s11242-019-01263-5 | |
dc.identifier.cristin | 1684442 | |
cristin.qualitycode | 2 | |