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Dedalus: A Flexible Framework for Numerical Simulations with Spectral Methods
Keaton J. Burns, Geoffrey M. Vasil, Jeffrey S. Oishi +2
Numerical solutions of partial differential equations enable a broad range of scientific research. The Dedalus Project is a flexible, open-source, parallelized computational framew…
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…
A Validated Nonlinear Kelvin-Helmholtz Benchmark for Numerical Hydrodynamics
Daniel Lecoanet, Michael McCourt, Eliot Quataert +6
The nonlinear evolution of the Kelvin-Helmholtz instability is a popular test for code verification. To date, most Kelvin-Helmholtz problems discussed in the literature are ill-pos…