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Computation of azimuthal waves and their stability in thermal convection in rotating spherical shells with application to the study of a double-Hopf bifurcation
dc.contributor.author | Sánchez Umbría, Juan |
dc.contributor.author | García González, Fernando |
dc.contributor.author | Net Marcé, Marta |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física Aplicada |
dc.date.accessioned | 2013-06-10T12:45:23Z |
dc.date.available | 2013-06-10T12:45:23Z |
dc.date.created | 2013-03-22 |
dc.date.issued | 2013-03-22 |
dc.identifier.citation | Sanchez, J.; Garcia, F.; Net, M. Computation of azimuthal waves and their stability in thermal convection in rotating spherical shells with application to the study of a double-Hopf bifurcation. "Physical review E: statistical, nonlinear, and soft matter physics", 22 Març 2013, vol. 87, núm. 3, p. 1-11. |
dc.identifier.issn | 1539-3755 |
dc.identifier.uri | http://hdl.handle.net/2117/19530 |
dc.description.abstract | A methodology to compute azimuthal waves, appearing in thermal convection of a pure fluid contained in a rotating spherical shell, and to study their stability is presented. It is based on continuation, Newton-Krylov, and Arnoldi methods. An application to the study of a double-Hopf bifurcation of the basic state is shown for Ekman and Prandtl numbers E=10−4 and σ=0.1, respectively, radius ratios η∈[0.32,0.35], Rayleigh numbers R∈[1.8×105,6×105], and nonslip and perfectly conducting boundary conditions. The knowledge of the bifurcation diagrams, including the unstable solutions, allows one to understand the coexistence of stable thermal Rossby waves of different azimuthal wave numbers at some parameter regions, and the origin of some new intermittent solutions found, as trajectories close to heteroclinic chains. Moreover, the structure of the eigenfunctions at the secondary bifurcations explains the existence of the amplitude and shape modulated waves. |
dc.format.extent | 11 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Heat--Convection |
dc.subject.lcsh | Eigenvalues |
dc.subject.lcsh | Eigenfunctions |
dc.subject.lcsh | Ocean currents |
dc.subject.other | Heat convection |
dc.subject.other | Eigenvalues and eigenfunctions |
dc.subject.other | Hopf bifurcation |
dc.subject.other | Ocean currents |
dc.title | Computation of azimuthal waves and their stability in thermal convection in rotating spherical shells with application to the study of a double-Hopf bifurcation |
dc.type | Article |
dc.subject.lemac | Calor -- Convecció |
dc.subject.lemac | Valors propis |
dc.subject.lemac | Funcions pròpies |
dc.subject.lemac | Corrents marins |
dc.contributor.group | Universitat Politècnica de Catalunya. DF - Dinàmica No Lineal de Fluids |
dc.identifier.doi | 10.1103/PhysRevE.87.033014 |
dc.relation.publisherversion | http://pre.aps.org/abstract/PRE/v87/i3/e033014 |
dc.rights.access | Open Access |
local.identifier.drac | 12479427 |
dc.description.version | Postprint (published version) |
local.citation.author | Sanchez, J.; Garcia, F.; Net, M. |
local.citation.publicationName | Physical review E: statistical, nonlinear, and soft matter physics |
local.citation.volume | 87 |
local.citation.number | 3 |
local.citation.startingPage | 1 |
local.citation.endingPage | 11 |
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