Rayleigh-Bénard Convection as a Nambu-metriplectic problem
| dc.creator | Bihlo, Alexander | |
| dc.date | 2008-03-31 | |
| dc.date | 2008-05-14 | |
| dc.date.accessioned | 2026-07-07T09:38:32Z | |
| dc.date.available | 2026-07-07T09:38:32Z | |
| dc.description | The traditional Hamiltonian structure of the equations governing conservative Rayleigh-Bénard convection (RBC) is singular, i.e. it's Poisson bracket possesses nontrivial Casimir functionals. We show that a special form of one of these Casimirs can be used to extend the bilinear Poisson bracket to a trilinear generalised Nambu bracket. It is further shown that the equations governing dissipative RBC can be written as the superposition of the conservative Nambu bracket with a dissipative symmetric bracket. This leads to a Nambu-metriplectic system, which completes the geometrical picture of RBC. | |
| dc.description | 7 pages, extended and corrected version | |
| dc.identifier | https://arxiv.org/abs/0803.4458 | |
| dc.identifier | http://arxiv.org/abs/0803.4458 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160837 | |
| dc.subject | Fluid Dynamics | |
| dc.subject | Atmospheric and Oceanic Physics | |
| dc.title | Rayleigh-Bénard Convection as a Nambu-metriplectic problem | |
| dc.type | text |