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Unstable manifolds computation for the 2-D plane Poiseuille flow
dc.contributor.author | Sánchez Casas, José Pablo |
dc.contributor.author | Jorba, Angel |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-10-04T15:36:55Z |
dc.date.available | 2007-10-04T15:36:55Z |
dc.date.issued | 2003 |
dc.identifier.uri | http://hdl.handle.net/2117/1225 |
dc.description.abstract | 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. |
dc.format.extent | 8 pages |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Differentiable dynamical systems |
dc.subject.lcsh | Fluid mechanics |
dc.subject.other | Poiseuille flow |
dc.subject.other | unstable manifolds |
dc.title | Unstable manifolds computation for the 2-D plane Poiseuille flow |
dc.type | Article |
dc.subject.lemac | Sistemes dinàmics diferenciables |
dc.subject.lemac | Teoria ergòdica |
dc.subject.lemac | Fluids |
dc.subject.lemac | Vorticitat -- Teoria |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications |
dc.subject.ams | Classificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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