Lessons for adaptive mesh refinement in numerical relativity

Eugene Lim

doi:10.1088/1361-6382/ac6fa9

Lessons for adaptive mesh refinement in numerical relativity

Eugene Lim

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Abstract

We demonstrate the flexibility and utility of the Berger–Rigoutsos adaptive mesh refinement (AMR) algorithm used in the open-source numerical relativity (NR) code GRChombo for generating gravitational waveforms from binary black-hole (BH) inspirals, and for studying other problems involving non-trivial matter configurations. We show that GRChombo can produce high quality binary BH waveforms through a code comparison with the established NR code Lean. We also discuss some of the technical challenges involved in making use of full AMR (as opposed to, e.g. moving box mesh refinement), including the numerical effects caused by using various refinement criteria when regridding. We suggest several ‘rules of thumb’ for when to use different tagging criteria for simulating a variety of physical phenomena. We demonstrate the use of these different criteria through example evolutions of a scalar field theory. Finally, we also review the current status and general capabilities of GRChombo.

Original language	English
Journal	Classical and Quantum Gravity
Volume	39
Issue number	13
DOIs	https://doi.org/10.1088/1361-6382/ac6fa9
Publication status	Published - 6 Jun 2022

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10.1088/1361-6382/ac6fa9Licence: CC BY

Radia_2022_Class._Quantum_Grav._39_135006Accepted author manuscript, 3.26 MBLicence: CC BY

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title = "Lessons for adaptive mesh refinement in numerical relativity",

abstract = "We demonstrate the flexibility and utility of the Berger–Rigoutsos adaptive mesh refinement (AMR) algorithm used in the open-source numerical relativity (NR) code GRChombo for generating gravitational waveforms from binary black-hole (BH) inspirals, and for studying other problems involving non-trivial matter configurations. We show that GRChombo can produce high quality binary BH waveforms through a code comparison with the established NR code Lean. We also discuss some of the technical challenges involved in making use of full AMR (as opposed to, e.g. moving box mesh refinement), including the numerical effects caused by using various refinement criteria when regridding. We suggest several {\textquoteleft}rules of thumb{\textquoteright} for when to use different tagging criteria for simulating a variety of physical phenomena. We demonstrate the use of these different criteria through example evolutions of a scalar field theory. Finally, we also review the current status and general capabilities of GRChombo.",

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AU - Lim, Eugene

PY - 2022/6/6

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AB - We demonstrate the flexibility and utility of the Berger–Rigoutsos adaptive mesh refinement (AMR) algorithm used in the open-source numerical relativity (NR) code GRChombo for generating gravitational waveforms from binary black-hole (BH) inspirals, and for studying other problems involving non-trivial matter configurations. We show that GRChombo can produce high quality binary BH waveforms through a code comparison with the established NR code Lean. We also discuss some of the technical challenges involved in making use of full AMR (as opposed to, e.g. moving box mesh refinement), including the numerical effects caused by using various refinement criteria when regridding. We suggest several ‘rules of thumb’ for when to use different tagging criteria for simulating a variety of physical phenomena. We demonstrate the use of these different criteria through example evolutions of a scalar field theory. Finally, we also review the current status and general capabilities of GRChombo.

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DO - 10.1088/1361-6382/ac6fa9

M3 - Article

SN - 0264-9381

VL - 39

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 13

ER -

Lessons for adaptive mesh refinement in numerical relativity

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