Convectons and secondary snaking in three-dimensional natural doubly diffusive convection
Natural doubly diffusive convection in a three-dimensional vertical enclosure with square cross-section in the horizontal is studied. Convection is driven by imposed temperature and concentration differences between two opposite vertical walls. These are chosen such that a pure conduction state exis...
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| Veröffentlicht in: | Physics of fluids (1994) 2013-02, Vol.25 (2), p.1-15 |
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| container_title | Physics of fluids (1994) |
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| creator | Beaume, Cedric Bergeon, Alain Knobloch, Edgar |
| description | Natural doubly diffusive convection in a three-dimensional vertical enclosure with square cross-section in the horizontal is studied. Convection is driven by imposed temperature and concentration differences between two opposite vertical walls. These are chosen such that a pure conduction state exists. No-flux boundary conditions are imposed on the remaining four walls, with no-slip boundary conditions on all six walls. Numerical continuation is used to compute branches of spatially localized convection. Such states are referred to as convectons. Two branches of three-dimensional convectons with full symmetry bifurcate simultaneously from the conduction state and undergo homoclinic snaking. Secondary bifurcations on the primary snaking branches generate secondary snaking branches of convectons with reduced symmetry. The results are complemented with direct numerical simulations of the three-dimensional equations. |
| doi_str_mv | 10.1063/1.4792711 |
| format | Article |
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Convection is driven by imposed temperature and concentration differences between two opposite vertical walls. These are chosen such that a pure conduction state exists. No-flux boundary conditions are imposed on the remaining four walls, with no-slip boundary conditions on all six walls. Numerical continuation is used to compute branches of spatially localized convection. Such states are referred to as convectons. Two branches of three-dimensional convectons with full symmetry bifurcate simultaneously from the conduction state and undergo homoclinic snaking. Secondary bifurcations on the primary snaking branches generate secondary snaking branches of convectons with reduced symmetry. 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The results are complemented with direct numerical simulations of the three-dimensional equations.</description><subject>Bifurcations</subject><subject>Boundary conditions</subject><subject>Convection</subject><subject>Diffusion</subject><subject>Engineering Sciences</subject><subject>Fluids mechanics</subject><subject>Mathematical analysis</subject><subject>Mechanics</subject><subject>Symmetry</subject><subject>Three dimensional</subject><subject>Walls</subject><issn>1070-6631</issn><issn>1089-7666</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFkU9LAzEQxRdRsFYPfoM96mHrTLKbZI-lqBUKXvTgKaT5Y6PbpG52C357d2nRozDwhuE3jwcvy64RZgiM3uGs5DXhiCfZBEHUBWeMnY47h4IxiufZRUofAEBrwibZ2yKGvdVdDClXweTJ6hiMar_zFNSnD--5D3m3aa0tjN_akHwMqsmD6vp2UBP7dfOdG-9cn_ze5vpgN1CX2ZlTTbJXR51mrw_3L4tlsXp-fFrMV4UuKXRFBcJVKLRFw0nlqBCEGEaUgpKVhK4r0EN2LJ3TjlZEgGEAJVXGWWBICJ1mtwffjWrkrvXbIbyMysvlfCXHGwxvDDnucWBvDuyujV-9TZ3c-qRt06hgY58kcj7QdJx_UYqC1Qgo_hLoNqbUWvcbA0GOrUiUx1boD2EofUw</recordid><startdate>20130201</startdate><enddate>20130201</enddate><creator>Beaume, Cedric</creator><creator>Bergeon, Alain</creator><creator>Knobloch, Edgar</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>7UA</scope><scope>C1K</scope><scope>F1W</scope><scope>H96</scope><scope>KL.</scope><scope>L.G</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>1XC</scope><scope>VOOES</scope></search><sort><creationdate>20130201</creationdate><title>Convectons and secondary snaking in three-dimensional natural doubly diffusive convection</title><author>Beaume, Cedric ; Bergeon, Alain ; Knobloch, Edgar</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c430t-508f518ce1d725f38822d62aa046423b50c10714ffcf35280d60043adfe061223</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Bifurcations</topic><topic>Boundary conditions</topic><topic>Convection</topic><topic>Diffusion</topic><topic>Engineering Sciences</topic><topic>Fluids mechanics</topic><topic>Mathematical analysis</topic><topic>Mechanics</topic><topic>Symmetry</topic><topic>Three dimensional</topic><topic>Walls</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Beaume, Cedric</creatorcontrib><creatorcontrib>Bergeon, Alain</creatorcontrib><creatorcontrib>Knobloch, Edgar</creatorcontrib><collection>CrossRef</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Physics of fluids (1994)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Beaume, Cedric</au><au>Bergeon, Alain</au><au>Knobloch, Edgar</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Convectons and secondary snaking in three-dimensional natural doubly diffusive convection</atitle><jtitle>Physics of fluids (1994)</jtitle><date>2013-02-01</date><risdate>2013</risdate><volume>25</volume><issue>2</issue><spage>1</spage><epage>15</epage><pages>1-15</pages><issn>1070-6631</issn><eissn>1089-7666</eissn><abstract>Natural doubly diffusive convection in a three-dimensional vertical enclosure with square cross-section in the horizontal is studied. 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| identifier | ISSN: 1070-6631 |
| ispartof | Physics of fluids (1994), 2013-02, Vol.25 (2), p.1-15 |
| issn | 1070-6631 1089-7666 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_03526171v1 |
| source | AIP Journals Complete; AIP Digital Archive; Alma/SFX Local Collection |
| subjects | Bifurcations Boundary conditions Convection Diffusion Engineering Sciences Fluids mechanics Mathematical analysis Mechanics Symmetry Three dimensional Walls |
| title | Convectons and secondary snaking in three-dimensional natural doubly diffusive convection |
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