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Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers
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dc.contributor.author | Hill, A A | |
dc.contributor.author | Carr, Magda | |
dc.date.accessioned | 2013-03-15T17:31:02Z | |
dc.date.available | 2013-03-15T17:31:02Z | |
dc.date.issued | 2010-09 | |
dc.identifier.citation | Hill , A A & Carr , M 2010 , ' Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers ' , Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences , vol. 466 , no. 2121 , pp. 2695-2705 . https://doi.org/10.1098/rspa.2010.0014 | en |
dc.identifier.issn | 1364-5021 | |
dc.identifier.other | PURE: 471172 | |
dc.identifier.other | PURE UUID: 5c23880a-0519-483c-b005-bf023ea5ea3d | |
dc.identifier.other | standrews_research_output: 32390 | |
dc.identifier.other | Scopus: 77957205298 | |
dc.identifier.other | WOS: 000280524300010 | |
dc.identifier.uri | http://hdl.handle.net/10023/3398 | |
dc.description.abstract | Studies of the nonlinear stability of fluid/porous systems have been developed very recently. A two-domain modelling approach has been adopted in previous works, but was restricted to specific configurations. The extension to the more general case of a Navier–Stokes modelled fluid over a porous material was not achieved for the two-domain approach owing to the difficulties associated with handling the interfacial boundary conditions. This paper addresses this issue by adopting a one-domain approach, where the governing equations for both regions are combined into a unique set of equations that are valid for the entire domain. It is shown that the nonlinear stability bound, in the one-domain approach, is very sharp and hence excludes the possibility of subcritical instabilities. Moreover, the one-domain approach is compared with an equivalent two-domain approach, and excellent agreement is found between the two. | |
dc.language.iso | eng | |
dc.relation.ispartof | Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences | en |
dc.rights | This is the author's version of this article. The published version © 2010 The Royal Society is available from http://rspa.royalsocietypublishing.org | en |
dc.subject | Superposed porous-fluid convection | en |
dc.subject | One-domain approach | en |
dc.subject | Energy method | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers | en |
dc.type | Journal article | en |
dc.description.version | Postprint | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.contributor.institution | University of St Andrews. Scottish Oceans Institute | en |
dc.identifier.doi | https://doi.org/10.1098/rspa.2010.0014 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | http://www.scopus.com/inward/record.url?scp=77957205298&partnerID=8YFLogxK | en |
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