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
Summary
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