5 papers
Diffusion-Free Dynamics in Rotating Spherical Shell Convection Driven By Internal Heating and Cooling
Neil T. Lewis, Tom Joshi-Hartley, Steven M. Tobias +2
The bulk properties of convection in stellar and giant planet interiors are often assumed to be independent of the molecular diffusivities, which are very small. By contrast, simul…
Data-driven discovery of the equations of turbulent convection
Christopher J. Wareing, Alasdair T. Roy, Matthew Golden +2
We compare the efficiency and ease-of-use of the Sparse Identification of Nonlinear Dynamics (SINDy) algorithm and Sparse Physics-Informed Discovery of Empirical Relations (SPIDER)…
Radiatively-Cooled Moist Convection under an Idealised Climate Change Scenario: Linear Analysis
Gregory N. Dritschel, Steven M. Tobias, Douglas J. Parker +1
In order to explore the effects of climate change on atmospheric convection and the water cycle, we develop and analyse an extension of the Rainy-Bénard model, which is itself a mo…
On nonlinear transitions, minimal seeds and exact solutions for the geodynamo
Calum S. Skene, Florence Marcotte, Steven M. Tobias
Nearly fifty years ago, Roberts (1978) postulated that Earth's magnetic field, which is generated by turbulent motions of liquid metal in its outer core, likely results from a subc…
Weakly nonlinear analysis of the onset of convection in rotating spherical shells
Calum S. Skene, Steven M. Tobias
A weakly nonlinear study is numerically conducted to determine the behaviour near the onset of convection in rotating spherical shells. The mathematical and numerical procedure is…