Abstract

We describe a simple and effective algorithm for solving Poisson’s equation in the context of self-gravity within the DISPATCH astrophysical fluid framework. The algorithm leverages the fact that DISPATCH stores multiple time slices and uses asynchronous time-stepping to produce a scheme that does not require any explicit global communication or sub-cycling, only the normal, local communication between patches and the iterative solution to Poisson’s equation. We demonstrate that the implementation is suitable for both collections of patches of a single resolution and for hierarchies of adaptively resolved patches. Benchmarks are presented that demonstrate the accuracy, effectiveness and efficiency of the scheme.

Highlights

  • Gravity is at the root of the formation of cosmological structure, galaxies, stars and planets

  • We describe a simple and effective algorithm for solving Poisson’s equation in the context of self-gravity within the DISPATCH astrophysical fluid framework

  • The algorithm leverages the fact that DISPATCH stores multiple time slices and uses asynchronous timestepping to produce a scheme that does not require any explicit global communication or subcycling, only the normal, local communication between patches and the iterative solution to Poisson’s equation

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Summary

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IOP Publishing
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