Browsing by Author "Net Marcé, Marta"
Now showing items 1-20 of 35
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A comparison of high-order time integrators for highly supercritical thermal convection in rotating spherical shells
(2014-01-10)
Article
Restricted access - publisher's policyThe efficiency of implicit and semi-implicit time integration codes based on backward differentiation and extrapolation formulas for the solution of the three-dimensional Boussinesq thermal convection equations in rotating ... -
A comparison of high-order time integrators for thermal convection in rotating spherical shells
(2010-10-01)
Article
Open AccessA numerical study of several time integration methods for solving the threedimensional Boussinesq thermal convection equations in rotating spherical shells is presented. Implicit and semi-implicit time integration ... -
A parallel algorithm for the computation of invariant tori in large-scale dissipative systems
(2013-06)
Article
Restricted access - publisher's policyA parallelizable algorithm to compute invariant tori of high-dimensional dissipative systems, obtained upon discretization of PDEs is presented. The size of the set of equations to be solved is only a small multiple of the ... -
Analyzing thermal convection in a two-dimensional circular annulus via spatio-temporal Koopman decomposition
(2020-01-15)
Article
Open AccessThis paper deals with the analysis of numerically obtained spatio-temporal data for thermal convection in a two-dimensional circular annulus. These data are post-processed using a recent method called the spatio-temporal ... -
Antisymmetric polar modes of thermal convection in rotating spherical fluid shells at high Taylor numbers
(2008-11-03)
Article
Open AccessThe onset of thermal convection in a rotating spherical shell of intermediate radius ratio ¼ 0:4 is studied numerically for Taylor numbers Ta 1011 and the Prandtl number of the liquid sodium ( ¼ 0:01). For the first ... -
Azimuthal waves and their stability in externally heated rotating spherical shells
(2011)
Conference report
Open AccessAzimuthal waves appearing in the thermal convection of a pure fluid contained in a spherical shell with both boundaries at different temperatures are studied. They are computed by using continuation methods as steady ... -
Bifurcations to quasiperiodicity of the torsional solutions of convection in rotating fluid spheres: techniques and results
(2022-11-07)
Article
Restricted access - publisher's policyThe linear stability of the periodic and axisymmetric solutions of the convection in rotating, internally heated, and self-gravitating fluid spheres is presented. The transition to quasiperiodic flows via Neimark–Sacker ... -
Computation of azimuthal waves and their stability in thermal convection in rotating spherical shells with application to the study of a double-Hopf bifurcation
(2013-03-22)
Article
Open AccessA 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 ... -
Continuation and stability of convective modulated rotating waves in spherical shells
(2016-01-01)
Article
Open AccessModulated rotating waves (MRW), bifurcated from the thermal-Rossby waves that arise at the onset of convection of a fluid contained in a rotating spherical shell, and their stability, are studied. For this purpose, ... -
Continuation of bifurcations of cycles in dissipative PDEs
(2015)
Conference report
Open AccessA new efficient methodology for the continuation of the codimension-one bifurcations of periodic orbits, including pitchfork bifurcations present in reflection--symmetric systems, has been developed. It is based on the ... -
Continuation of bifurcations of periodic orbits for large-scale systems
(2015-01-01)
Article
Open AccessA methodology to track bifurcations of periodic orbits in large-scale dissipative systems depending on two parameters is presented. It is based on the application of iterative Newton-Krylov techniques to extended systems. ... -
Continuation of double Hopf points in thermal convection of rotating fluid spheres
(2021-01-26)
Article
Open AccessThe thermal convection of rotating fluids in spherical geometry is a classical problem with application to many geophysical and astrophysical problems. The study of the transition to periodic solutions from the steady ... -
Critical torsional modes of convection in rotating fluid spheres at high Taylor numbers
(2016-02-15)
Article
Open AccessA numerical study of the onset of convection in rotating internally heated self-gravitating fluid spheres is presented. The exploration of the stability of the conduction state versus the Taylor and Prandtl numbers supplies ... -
Estudio comparativo de la eficiencia de diversos integradores para la simulación numérica de la convección térmica en geometría esférica y rotación
(2010)
Conference report
Open AccessThe efficiency of implicit and semi-implicit time integration codes based on bac- kward differentiation and extrapolation formulae for the solution of the three-dimensio- nal Boussinesq thermal convection equations in ... -
Examen Final
(Universitat Politècnica de Catalunya, 2013-12-04)
Exam
Restricted access to the UPC academic community -
Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells
(2014-01-24)
Article
Open AccessWe assess the accuracy and efficiency of several exponential time integration methods coupled to a spectral discretization of the three-dimensional Boussinesq thermal convection equations in rotating spherical shells. ... -
Generation of bursting magnetic fields by nonperiodic torsional flows
(American Institute of Physics (AIP), 2019-11-26)
Article
Open AccessA mechanism for the cyclic generation of bursts of magnetic fields by nonlinear torsional flows of complex time dependence but very simple spatial structure is described. These flows were obtained numerically as axisymmetric ... -
Mathematical modeling of different molecule removal on on-line haemodiafiltration. Influence of dialysis duration and infusion flow
(2015-02-01)
Article
Restricted access - publisher's policyBackground: In a previous study on a nocturnal, every-other-day online haemodiafiltration scheme, different removal patterns were observed for urea, creatinine, ß2-¿microglobulin, myoglobin and prolactin. The aim of this ... -
Numerical continuation methods for large-scale dissipative dynamical systems
(2016-11-22)
Article
Open AccessA tutorial on continuation and bifurcation methods for the analysis of truncated dissipative partial differential equations is presented. It focuses on the computation of equilibria, periodic orbits, their loci of ... -
Numerical simulations of thermal convection in rotating spherical shells under laboratory conditions
(2014-03-05)
Article
Restricted access - publisher's policyAn exhaustive study, based on numerical three-dimensional simulations, of the Boussinesq thermal convection of a fluid confined in a rotating spherical shell is presented. A moderately low Prandtl number fluid (ro = 0.1) ...
