13 citations · 14 across the 6 of their papers we have counts for
6 papers
Data-driven discovery of dynamo cycle equations
Anna Guseva, Calum Skene, Steve Tobias
Many low-mass stars like the Sun host periodic, oscillatory magnetic fields that lead to variable levels of stellar activity, driving space weather that affects the habitability an…
Fast automated adjoints for spectral PDE solvers
Calum S. Skene, Keaton J. Burns
We present a general and automated approach for computing model gradients for PDE solvers built on sparse spectral methods, and implement this capability in the widely used open-so…
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…
A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints
Paul M Mannix, Calum S Skene, Didier Auroux +1
Many physical questions in fluid dynamics can be recast in terms of norm constrained optimisation problems; which in-turn, can be further recast as unconstrained problems on spheri…
A parallel-in-time approach for accelerating direct-adjoint studies
Calum S. Skene, Maximilian F. Eggl, Peter J. Schmid
Parallel-in-time methods are developed to accelerate the direct-adjoint looping procedure. Particularly, we utilize the Paraexp algorithm, previously developed to integrate equatio…