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Tensor calculus in spherical coordinates using Jacobi polynomials. Part-I: Mathematical analysis and derivations
Geoff Vasil, Daniel Lecoanet, Keaton Burns +2
This paper presents a method for the accurate and efficient computations on scalar, vector and tensor fields in three-dimensional spherical polar coordinates. The methods uses spin…
On the magnetorotational instability and elastic buckling
Geoff Vasil
This paper demonstrates an equivalence between rotating magnetised shear flows and a stressed elastic beam. This results from finding the same form of dynamical equations after an…
Tensor calculus in spherical coordinates using Jacobi polynomials, Part-II: Implementation and Examples
Daniel Lecoanet, Geoffrey M. Vasil, Keaton J. Burns +2
We present a simulation code which can solve broad ranges of partial differential equations in a full sphere. The code expands tensorial variables in a spectral series of spin-weig…
Perspectives on Reproducibility and Sustainability of Open-Source Scientific Software from Seven Years of the Dedalus Project
Jeffrey S. Oishi, Benjamin P. Brown, Keaton J. Burns +2
As the Science Mission Directorate contemplates establishing an open code policy, we consider it timely to share our experiences as the developers of the open-source partial differ…