Browsing by Author "Net Marcé, Marta"
Now showing items 1-20 of 25
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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 ... -
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 ... -
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 ... -
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. ... -
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 ... -
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. ... -
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) ... -
Numerical study of the onset of thermosolutal convection in rotating spherical shells
(2012-06-01)
Article
Open AccessThe influence of an externally enforced compositional gradient on the onset of convection of a mixture of two components in a rotating fluid spherical shell is studied for Ekman numbers E = 10−3 and E = 10−6, Prandtl numbers ... -
On the multiple shooting continuation of periodic orbits by Newton-Krylov methods
(2010)
Article
Restricted access - publisher's policyThe application of the multiple shooting method to the continuation of periodic orbits in large-scale dissipative systems is analyzed. A preconditioner for the linear systems which appear in the application of Newton’s ... -
On the onset of low Prandtl number convection in rotating spherical shells: non-slip boundary conditions
(2008-01-15)
Article
Open AccessAccurate numerical computations of the onset of thermal convection in wide rotating spherical shells are presented. Low-Prandtl-number (σ) fluids, and non-slip boundary conditions are considered. It is shown that at small ... -
Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions
(2015-10-01)
Article
Open AccessA five-degree model, which reproduces faithfully the sequence of bifurcations and the type of solutions found through numerical simulations of the three-dimensional Boussinesq thermal convection equations in rotating ... -
Periodic orbits in tall laterally heated rectangular cavities
(2017-02-02)
Article
Open AccessThis study elucidates the origin of the multiplicity of stable oscillatory flows detected by time integration in tall rectangular cavities heated from the side. By using continuation techniques for periodic orbits, it is ... -
Prandtl number dependence of convective fluids in tall laterally heated slots
(Springer, 2018-10-04)
Article
Restricted access - publisher's policyThe influence of the Prandtl number on the stable stationary and periodic flows of the fluids contained in laterally heated slots under realistic conditions is analyzed by using continuation methods. Namely, non-slip ...
