TY - JOUR
T1 - Modulated rotating convection
T2 - Radially travelling concentric rolls
AU - Rubio, A.
AU - Lopez, Juan
AU - Marques, F.
N1 - Funding Information:
We thank O. Batiste and I. Mercader for providing us with the first version of the numerical codes used in this project, and for stimulating discussions on the physics and numerics of this problem. This work was supported by the National Science Foundation grant DMS-0505489, the Spanish Ministry of Education and Science grant FIS2004-01336, Catalonian Government grant SGR-00024, and a fellowship through the Alfred P. Sloan Foundation. Part of this work was completed while A. R. was a Fulbright graduate fellow at UPC. Computational resources of ASU’s Fulton HPCI are greatly appreciated.
PY - 2008/8
Y1 - 2008/8
N2 - Recent experiments in rotating convection have shown that the spatio-temporal bulk convective state with Küppers-Lortz dynamics can be suppressed by small-amplitude modulations of the rotation rate. The resultant axisymmetric pulsed target patterns were observed to develop into axisymmetric travelling target patterns as the modulation amplitude and Rayleigh number were increased. Using the Navier-Stokes-Boussinesq equations with physical boundary conditions, we are able to numerically reproduce the experimental results and gain physical insight into the responsible mechanism, relating the onset of the travelling target patterns to a symmetry-restoring saddle-node on an invariant circle bifurcation. Movies are available with the online version of the paper.
AB - Recent experiments in rotating convection have shown that the spatio-temporal bulk convective state with Küppers-Lortz dynamics can be suppressed by small-amplitude modulations of the rotation rate. The resultant axisymmetric pulsed target patterns were observed to develop into axisymmetric travelling target patterns as the modulation amplitude and Rayleigh number were increased. Using the Navier-Stokes-Boussinesq equations with physical boundary conditions, we are able to numerically reproduce the experimental results and gain physical insight into the responsible mechanism, relating the onset of the travelling target patterns to a symmetry-restoring saddle-node on an invariant circle bifurcation. Movies are available with the online version of the paper.
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U2 - 10.1017/S0022112008002206
DO - 10.1017/S0022112008002206
M3 - Article
AN - SCOPUS:47949095192
SN - 0022-1120
VL - 608
SP - 357
EP - 378
JO - journal of fluid mechanics
JF - journal of fluid mechanics
ER -