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Thermal convection in rotating spherical geometry: A numerical overview of the transitions
from periodic axisymmetric to temporally complex three-dimensional flows Sánchez Umbría, J., Net, M. Physical Review E, 106 , 065102(12) (2022).
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Bifurcations to quasiperiodicity of the torsional solutions of convection in rotating fluid spheres: Techniques and results Sánchez Umbría, J., Net, M. Physics of Fluids, 34, 114112 (2022).
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Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers Sánchez Umbría, J., Net, M. Physics of Fluids, 33, 114103 (2021).
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Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres Sánchez Umbría, J., Net, M. SIAM Journal on Applied Dynamical Systems, 20, 208-231 (2021).
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Analyzing thermal convection in a two-dimensional circular annulus via spatio-temporal Koopman decomposition Sánchez Umbría, J., Net, M., Vega, J.~M. Physica D, 402 , 132257(13) (2020).
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Generation of bursting magnetic fields by nonperiodic torsional flowss Sánchez Umbría, J., Net, M. Physical Review E, 100 , 053110(11) (2019).
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Torsional solutions of convection in rotating fluid spheres Sánchez Umbría, J., Net, M. Physical Review Fluids, 4 , 013501 (2019).
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Prandtl number dependence of convective fluids in
tall laterally heated slots Sánchez, J., Net, M. European Physical Journal Special Topics, 227 , 481-492 (2018).
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Stationary flows and periodic dynamics of binary mixtures in
tall laterally heated slots Sánchez, J., Net, M. in Computational Modeling of Bifurcations and Instabilities in
Fluid Mechanics. Ed. A. Gelfgat, Springer (2018).
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Periodic orbits in tall laterally heated rectangular cavities Net, M., Sánchez, J. Physical Review E, 95 , 023102(9) (2017).
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Numerical continuation methods for large-scale dissipative
dynamical systems Sánchez, J., Net, M. European Physical Journal Special Topics, 225 , 2465-2486 (2016).
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Critical torsional modes of convection in rotating fluid spheres
at high Taylor numbers Sánchez, J., Garcia, F., Net, M. Journal of Fluid Mechanics, 791 , R1 (2016).
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Radial collocation methods for the onset of convection in rotating spheres Sánchez, J., Garcia, F., Net, M. Journal of Computational Physics, 308, 273-288 (2016).
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Continuation and stability of convective modulated rotating waves in spherical shells Garcia, F., Net, M., Sánchez, J. Physical Review E, 93, 013119 (2016).
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Oscillatory Convection in Rotating Spherical Shells: Low
Prandtl Number and Non-Slip Boundary Conditions Garcia, F., Sánchez, J., Dormy, E., Net, M. SIAM Journal on Applied Dynamical Systems, 14, 1787-1807 (2015).
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This article may be found at SIADS URL:
epubs.siam.org/doi/abs/10.1137/15M100729X
Continuation of Bifurcations of Periodic Orbits for Large-Scale
Systems Net, M., Sánchez, J. SIAM Journal on Applied Dynamical Systems, 14, 674-698 (2015).
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Copyright by SIAM (Society for Industrial and Applied
Mathematics). Unauthorized reproduction of this
article is prohibited.
This article may be found at SIADS URL:
epubs.siam.org/toc/sjaday/14/2
Mathematical modeling of distinct patterns of molecule
removal on on-line hemodiafiltration. Influence of dialysis duration
and infusion flow Maduell F., Sánchez J., Net M., González J. M., Gómez M.,
Arias M., Rodriguez N., Rico N., Campistol J. Blood Purification 39, 288-296 (2015).
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This article may be found at Blood Purification URL:
www.karger.com/Article/Abstract/375287
Two computational approaches for the simulation of fluid problems in
rotating spherical shells Garcia F., Dormy E., Sánchez J., Net M. Proceedings of ICCM2014 (2014).
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Numerical simulations of thermal convection in rotating
spherical shells under laboratory conditions Garcia, F., Sánchez, J. Net, M. Physics of the Earth and Planetary Interiors, 230, 28-44 (2014).
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Exponential versus IMEX high-order time integrators for thermal
convection in rotating spherical shells Garcia F., Bonaventura, L., Net M., Sánchez J. Journal of Computational Physics, 264, 41-54 (2014).
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Numerical Bifurcation Methods and their Application to
Fluid Dynamics: Analysis beyond Simulation Dijkstra H.A., et al. Commun. Comput. Phys. 15, 1-45 (2014).
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A comparison of high-order time integrators for highly
supercritical thermal convection in rotating spherical
shells Garcia F., Net M., Sánchez J. Proceedings of ICOSAHOM 2012 (2013).
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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 Sánchez J., Garcia
F., Net M. Physical Review E, 87, 033014 (2013).
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A parallel algorithm for the computation of invariant tori in
large-scale dissipative systems Sánchez J., Net M. Physica D, 252, 22-33 (2013).
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Numerical study of the onset of thermosolutal convection in
rotating spherical shells Net M., Garcia
F., Sánchez J. Physics of Fluids, 24, 064101 (2012).
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Stability analysis for the onset of convection in rotating
fluid binary mixtures in spherical shells Net M., Garcia
F., Sánchez J.
in Proceedings of the 7th European Nonlinear Dynamics Conference-ENOC
2011, (2011).
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Azimuthal waves and their stability in externally heated
rotating spherical shells Sánchez J., Garcia F., Net M.
in Proceedings of the 7th European Nonlinear Dynamics Conference-ENOC
2011, (2011).
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A comparison of high-order time integrators for thermal
convection in rotating spherical shells Garcia F., Net M.,
García-Archilla B. and Sánchez J. Journal of Computational Physics, 229, 7997-8010 (2010).
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Computation of invariant tori by Newton-Krylov methods in
large-scale dissipative systems Sánchez J., Net M. and
Simó C. Physica D, 239, 123-133 (2010).
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On the multiple shooting continuation of periodic orbits by
Newton-Krylov methods Sánchez J. and Net M. Int. J. Bifurcation and Chaos, 20(1), 43-61 (2010).
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Antisymmetric polar modes of thermal convection in rotating
spherical fluid shells at high Taylor numbers
Garcia F., Sánchez J. and Net M. Physical Review Letters, 101(19), 194501 (2008).
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On the onset of low-Prandtl-number convection in rotating spherical
shells: non-slip boundary conditions
Net M., Garcia F. and Sánchez J. Journal of Fluid Mechanics, 601, 317-337 (2008).
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Krylov methods and tests functions for detecting bifurcations in one
parameter-dependent partial differential equations
García-Archilla B., Sánchez J. and Simó C.
BIT, 46(4), 731--757 (2006).
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Amplitude equations close to a triple +1 bifurcation point of
D4-symmetric periodic orbits in O(2)-equivariant system
Sánchez J., Net M. and Vega J.M. Discrete and Continuous Dynamical Systems-Series B, 6, 1357--1380 (2006).
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Symmetric periodic orbits and global dynamics of tori in an
O(2) equivariant system: Two-dimensional thermal convection
Net M., Sánchez J. Int. J. Bifurcation and Chaos, 15, 3953--3972 (2005).
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Continuation of periodic orbits in large-scale dissipative systems
Sánchez J., Net M., García-Archilla B. and Simó C.
in Proceedings of Equadiff 2003 (2004).
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Newton-Krylov continuation of periodic orbits for Navier-Stokes
flows
Sánchez J., Net M., García-Archilla B. and Simó C. Journal of Computational Physics,201, 13--33 (2004).
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Spatially resonant interactions in annular convection
Alonso A., Net M. and Sánchez J.
in Bifurcations, symmetry and patterns. A conference in honour
of M. Golubitsky and I. Stewart. Ed. J.Buescu, S.B.S.D.Castro,
A.P.S.Dias and I.S.Labouriau, Birkhauser (2003).
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From stationary to complex time-dependent flows at moderate
Rayleigh numbers in two-dimensional annular thermal convection
Net M., Alonso A. and Sánchez J. Physics of Fluids, 15(5), 1314--1326 (2003).
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On stable Taylor vortices above the transition to wavy
vortices
Antonijoan J. and Sánchez J. Physics of Fluids, 14 (5), 1661-1665 (2002).
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A continuation and bifurcation technique for Navier-Stokes
flows
Sánchez, J., Marqués, F. and López, J.M. Journal of Computational Physics, 180, 78-98 (2002).
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Thermal Rossby waves in a rotating annulus. Their stability
Pino D., Net M., Sánchez J. and Mercader I. Physical Review E, 63(5), 056312-1/14 (2001).
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Oscillatory modes in an enclosed swirling flow
López, J.M., Marqués, F. and Sánchez, J. Journal of Fluid Mechanics, 439, 109-129 (2001).
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Transition to Temporal Chaos in an O(2)-Symmetric Convective System
for Low Prandtl Numbers
Alonso A., Sánchez J. and Net M. Prog. Theor. Phys. Suppl., 139, 315-324 (2000).
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Transitions from Taylor vortex flow in a co-rotating Taylor-Couette system
Antonijoan J. and Sánchez J. Physics of Fluids, 12(12), 3147-3159 (2000).
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Continuation techniques applied to the Taylor-Couette problem.
Spiral flow and the stability of Taylor vortices
Sánchez J. and Antonijoan J.
in Continuation Methods in Fluid Dynamics. Ed. D. Henry and A. Bergeon.
Notes on Numerical Fluid Mechanics, 74, 203-212, Vieweg (1999).
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Nonlinear spirals in the Taylor-Couette problem
Antonijoan, J., Marqués, F. and Sánchez, J. Physics of Fluids, 10, 829-838 (1998).
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Generalized Couette-Poiseuille flow with boundary mass
transfer
Marqués, F., Sánchez, J. and Weidman, P.D. Journal of Fluid Mechanics, 374, 221-249 (1998).
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Feigenbaum's Universality in a Low-Dimensional Fluid
Model
Meseguer A., Marqués F. and Sánchez, J. International Journal of Bifurcations and Chaos6, 1587-1594 (1996).
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Mixing in Stratified Couette Flow
Marques F., Crespo D. and Sánchez J.
in Mixing in Geophysical Flows, Eds. J.M. Redondo, O. Metais, 257-269, CIMNE, Barcelona (1995).
Spiral vortices between concentric cylinders
Sánchez, J., Crespo D. and Marqués F. Applied Scientific Research, 51, 55-59 (1993).
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