TY  - JOUR
A1  - Feudel, Fred
A1  - Feudel, Ulrike
T1  - Bifurcations in rotating spherical shell convection under the influence of differential rotation
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - The bifurcations of thermal convection in a rotating spherical shell heated from the inner sphere and driven by the buoyancy of a central gravity field are studied numerically. This model of spherical Rayleigh-Benard convection describes large-scale convection in planets and in the outer zones of celestial bodies. In this work, the influence of an additionally imposed differential rotation of the inner sphere with respect to the outer one on the heat transfer and, more generally, on the whole bifurcation structure is investigated. In addition to numerical simulations, path-following techniques are applied in order to compute both stable and unstable solution branches. The dynamics and the heat transfer are essentially determined by a global bifurcation, which we have identified as a homoclinic bifurcation that consists of a collision of a stable modulated rotating with an unstable rotating wave.
Y1  - 2021
U6  - https://doi.org/10.1063/5.0063113
SN  - 1054-1500
SN  - 1089-7682
VL  - 31
IS  - 11
PB  - AIP
CY  - Melville
ER  -