Browsing by Author "García González, Fernando"
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A comparison of highorder time integrators for thermal convection in rotating spherical shells
García González, Fernando; Net Marcé, Marta; GarciaArchilla, Bosco; Sánchez Umbría, Juan (20101001)
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 semiimplicit time integration ... 
A note on Weak Stability Boundaries
García González, Fernando; Gómez Muntané, Gerard (20061208)
Article
Restricted access  publisher's policyThis paper is devoted to clarify the algorithmic definition of the weak stability boundary in the framework of the planar Restricted Three Body Problem. The role of the invariant hyperbolic manifolds associated to the ... 
Antisymmetric polar modes of thermal convection in rotating spherical fluid shells at high Taylor numbers
García González, Fernando; Net Marcé, Marta; Sánchez Umbría, Juan (20081103)
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 ... 
Astronomically tuned mantle convection
Ficini, E.; Doglioni, C.; García González, Fernando (2016)
Conference lecture
Open Access 
Azimuthal waves and their stability in externally heated rotating spherical shells
Sánchez Umbría, Juan; García González, Fernando; Net Marcé, Marta (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 ... 
Chaotic wave dynamics in weakly magnetized spherical Couette flows
García González, Fernando; Seilmayer, Martin; Giesecke, André; Stefani, Frank (Institute of Physics (IOP), 20200414)
Article
Open AccessDirect numerical simulations of a liquid metal filling the gap between two concentric spheres are presented. The flow is governed by the interplay between the rotation of the inner sphere (measured by the Reynolds number ... 
Computation of azimuthal waves and their stability in thermal convection in rotating spherical shells with application to the study of a doubleHopf bifurcation
Sánchez Umbría, Juan; García González, Fernando; Net Marcé, Marta (20130322)
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, NewtonKrylov, and ... 
Continuation and stability of convective modulated rotating waves in spherical shells
García González, Fernando; Net Marcé, Marta; Sánchez Umbría, Juan (20160101)
Article
Open AccessModulated rotating waves (MRW), bifurcated from the thermalRossby 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, ... 
Critical torsional modes of convection in rotating fluid spheres at high Taylor numbers
Sánchez Umbría, Juan; García González, Fernando; Net Marcé, Marta (20160215)
Article
Open AccessA numerical study of the onset of convection in rotating internally heated selfgravitating fluid spheres is presented. The exploration of the stability of the conduction state versus the Taylor and Prandtl numbers supplies ... 
Deep model simulation of polar vortices in gas giant atmospheres
García González, Fernando; Chambers, Frank; Watts, Anna (Oxford University Press, 20201104)
Article
Open AccessThe Cassini and Juno probes have revealed large coherent cyclonic vortices in the polar regions of Saturn and Jupiter, a dramatic contrast from the east–west banded jet structure seen at lower latitudes. Debate has centred ... 
Dynamic transitions of the magnetized spherical Couette flow between its base state and the return flow instability
Ogbonna, Jude; García González, Fernando; Gundrum, Thomas; Seilmayer, Martin; Stefani, Frank (Institute of Physics (IOP), 20220101)
Article
Open AccessThe transition between the stable base state of the magnetized spherical Couette (MSC) flow and the return flow instability is experimentally investigated. The experiments are conducted using an MSC setup consisting of ... 
Estudio comparativo de la eficiencia de diversos integradores para la simulación numérica de la convección térmica en geometría esférica y rotación
García González, Fernando; Net Marcé, Marta; GarciaArchilla, Bosco; Sánchez Umbría, Juan (2010)
Conference report
Open AccessThe efficiency of implicit and semiimplicit time integration codes based on bac kward differentiation and extrapolation formulae for the solution of the threedimensio nal Boussinesq thermal convection equations in ... 
Experimental investigation of the return flow instability in magnetized spherical Couette flows
Ogbonna, Jude; García González, Fernando; Gundrum, Thomas; Seilmayer, Martin; Stefani, Frank (20201201)
Article
Open AccessWe conduct magnetized spherical Couette (MSC) flow experiments in the return flow instability regime with GaInSn as the working fluid, the ratio of the inner to the outer sphere radii ri/ro = 0.5, the Reynolds number Re = ... 
Fourfrequency solution in a magnetohydrodynamic Couette flow as a consequence of azimuthal symmetry breaking
García González, Fernando; Seilmayer, Martin; Giesecke, André; Stefani, Frank (American Institute of Physics (AIP), 20201231)
Article
Open AccessThe occurrence of magnetohydrodynamic quasiperiodic flows with four fundamental frequencies in differentially rotating spherical geometry is understood in terms of a sequence of bifurcations breaking the azimuthal symmetry ... 
Intermittent chaotic flows in the weakly magnetised spherical Couette system
García González, Fernando; Seilmayer, Martin; Giesecke, André; Stefani, Frank (202112)
Article
Open AccessExperiments on the magnetised spherical Couette system are presently being carried out at HelmholtzZentrum DresdenRossendorf (HZDR). A liquid metal (GaInSn) is confined within two differentially rotating spheres and ... 
Long term time dependent frequency analysis of chaotic waves in the weakly magnetized spherical Couette system
García González, Fernando; Seilmayer, Martin; Giesecke, André; Stefani, Frank (202104)
Article
Restricted access  publisher's policyThe long therm behavior of chaotic flows is investigated by means of time dependent frequency analysis. The system under test consists of an electrically conducting fluid, confined between two differentially rotating ... 
Modulated rotating waves and triadic resonances in spherical fluid systems: The case of magnetized spherical Couette flow
García González, Fernando; Giesecke, André; Stefani, Frank (202104)
Article
Open AccessThe existence of triadic resonances in the magnetized spherical Couette system is related to the development of modulated rotating waves, which are quasiperiodic flows understood in terms of bifurcation theory in systems ... 
Modulated rotating waves in the magnetised spherical Couette system
García González, Fernando; Seilmayer, Martin; Giesecke, André; Stefani, Frank (201912)
Article
Open AccessWe present a study devoted to a detailed description of modulated rotating waves (MRW) in the magnetised spherical Couette system. The setup consists of a liquid metal confined between two differentially rotating spheres ... 
Numerical simulations of thermal convection in rotating spherical shells under laboratory conditions
García González, Fernando; Sánchez Umbría, Juan; Net Marcé, Marta (20140305)
Article
Restricted access  publisher's policyAn exhaustive study, based on numerical threedimensional 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
Net Marcé, Marta; García González, Fernando; Sánchez Umbría, Juan (20120601)
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 ...