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Spherical Simulations with the Dedalus Framework (Contributed speaker)

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DY2W01 - Dynamos in planets and stars - similarities and differences

The global magnetic fields of astrophysical and planetary bodies are shaped by the spherical geometry of these systems. In this talk, I will describe new algorithms for solving nearly arbitrary equations in spherical geometry using the Dedalus framework. Users specify equations in plain-text using vector notation. Each variable is represented in a spectrally-accurate series expansion of spin-weighted spherical harmonics in the angular directions, and radially-weighted Jacobi polynomials in the radial direction. Dedalus can solve equations in spherical shells, as well as full balls (extending to r=0). I will provide examples of how to use the code, as well as benchmark problems and speed comparisons to similar codes.

This talk is part of the Isaac Newton Institute Seminar Series series.

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