Abstract
\(\mathtt {GRChombo}\) is a new multi-purpose numerical relativity code, which is built on top of the open source \(\mathtt {Chombo}\) (Adams et al., Chombo software package for AMR applications - Design Document, Lawrence Berkeley National Laboratory technical report LBNL-6616E, [1]) framework. In this chapter, we will detail the capabilities of \(\mathtt {GRChombo}\) and illustrate how they expand the current field in numerical GR to permit new physics to be explored. The design methodology, scaling properties and performance of \(\mathtt {GRChombo}\) in a number of standard simulations are included. Videos of simulations using \(\mathtt {GRChombo}\) can be viewed via the website at www.grchombo.org. The work presented in this chapter is mainly derived from the paper “GRChombo: Numerical Relativity with Adaptive Mesh Refinement” (Clough et al., Class Quantum Gravity 32(24):245011, 2015, [2]).
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Notes
- 1.
Ghost cells are the outer boundary cells of the boxes, which must be exchanged between processors working in different regions.
- 2.
Properly nested means that (1) a \(l+1\) level cell must be separated from an \(l-1\) cell by at least a single l level cell and (2) the physical region corresponding to a \(l-1\) level cell must be completely filled by l cells if it is refined, or it is completely unrefined (i.e. there cannot be “half-refined” coarse cells).
- 3.
Something of order 64 grid points should in practise be sufficient.
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Clough, K. (2018). GRChombo - Code Development and Testing. In: Scalar Fields in Numerical General Relativity. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-92672-8_3
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