Unstable manifolds computation for the 2-D plane Poiseuille flow
We follow the unstable manifold of periodic and quasi-periodic solutions for the Poiseuille problem, using two formulations: holding constant flux or mean pressure gradient. By means of a numerical integrator of the Navier-Stokes equations, we let the fluid evolve from a perturbed unstable solution....
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/1225 |
| Acceso en línea: | https://hdl.handle.net/2117/1225 |
| Access Level: | acceso abierto |
| Palabra clave: | Differentiable dynamical systems Fluid mechanics Poiseuille flow unstable manifolds Sistemes dinàmics diferenciables Teoria ergòdica Fluids Vorticitat -- Teoria Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications Classificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids |
| Sumario: | We follow the unstable manifold of periodic and quasi-periodic solutions for the Poiseuille problem, using two formulations: holding constant flux or mean pressure gradient. By means of a numerical integrator of the Navier-Stokes equations, we let the fluid evolve from a perturbed unstable solution. We detect several connections among different configurations of the flow such as laminar, periodic, quasi-periodic with 2 or 3 basic frequencies and more complex sets that we have not been able to classify. |
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