Rotating double-diffusive convection in stably stratified planetary cores

R Monville, J Vidal, D Cébron… - Geophysical Journal …, 2019 - academic.oup.com
In planetary fluid cores, the density depends on temperature and chemical composition,
which diffuse at very different rates. This leads to various instabilities, bearing the name of …

Characterization of columnar inertial modes in rapidly rotating spheres and spheroids

S Maffei, A Jackson… - Proceedings of the …, 2017 - royalsocietypublishing.org
We consider fluid-filled spheres and spheroidal containers of eccentricity ϵ in rapid rotation,
as a proxy for the interior dynamics of stars and planets. The fluid motion is assumed to be …

Plesio-geostrophy for Earth's core–II: thermal equations and onset of convection

S Maffei, A Jackson… - Geophysical Journal …, 2024 - academic.oup.com
The columnar-flow approximation allows the development of computationally efficient
numerical models tailored to the study of the rapidly rotating dynamics of Earth's fluid outer …

Onset of fully compressible convection in a rapidly rotating spherical shell

S Liu, ZH Wan, R Yan, C Sun, DJ Sun - Journal of Fluid Mechanics, 2019 - cambridge.org
Onset of fully compressible convection in a rapidly rotating spherical shell Page 1 J. Fluid
Mech. (2019), vol. 873, pp. 1090–1115. c Cambridge University Press 2019 doi:10.1017/jfm.2019.436 …

Continuation of double Hopf points in thermal convection of rotating fluid spheres

J Sánchez Umbría, M Net - SIAM Journal on Applied Dynamical Systems, 2021 - SIAM
The thermal convection of rotating fluids in spherical geometry is a classical problem with
application to many geophysical and astrophysical problems. The study of the transition to …

Onset of low Prandtl number thermal convection in thin spherical shells

F Garcia, FRN Chambers, AL Watts - Physical Review Fluids, 2018 - APS
This study considers the onset of stress-free Boussinesq thermal convection in rotating
spherical shells with an aspect ratio η= ri/ro= 0.9 (ri and ro being the inner and outer radius) …

Rapidly rotating self-gravitating Boussinesq fluid. II. Onset of thermal inertial convection in oblate spheroidal cavities

W Li, D Kong - Physical Review Fluids, 2022 - APS
The problem of thermal instability in rapidly rotating, self-gravitating fluid bodies has been
widely modeled in spheres or spherical shells, which implicitly neglects the flattening effect …

Axially symmetric and latitudinally propagating nonlinear patterns in rotating spherical convection

D Kong, K Zhang, K Lam, AP Willis - Physical Review E, 2018 - APS
We report a nonlinear phenomenon discovered in the classical problem of thermal
convection in rapidly rotating, self-gravitating, internally heated Boussinesq fluid spheres …

Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers

J Sánchez Umbría, M Net - Physics of Fluids, 2021 - pubs.aip.org
The aim of this study is to determine through numerical simulations the extent and
robustness of the three-dimensional torsional dynamics of the thermal convection in rotating …

Thermal convection in rotating spherical geometry: A numerical overview of the transitions from periodic axisymmetric to temporally complex three-dimensional flows

J Sánchez Umbría, M Net - Physical Review E, 2022 - APS
The aim of this work is to elucidate the type of transitions that take place when the periodic
axisymmetric flows, which can set up at the onset of thermal convection in rotating fluid …