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Cited by 834

The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.

Multi-scale initial conditions for cosmological simulations

Open access
Hahn, Oliver, Abel, Tom·2011·Monthly Notices of the Royal Astronomical Society
DOI 10.1111/j.1365-2966.2011.18820.x
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Abstract

We discuss a new algorithm to generate multi-scale initial conditions with multiple levels of refinements for cosmological ‘zoom-in’ simulations. The method uses an adaptive convolution of Gaussian white noise with a real-space transfer function kernel together with an adaptive multi-grid Poisson solver to generate displacements and velocities following first- (1LPT) or second-order Lagrangian perturbation theory (2LPT). The new algorithm achieves rms relative errors of the order of 10−4 for displacements and velocities in the refinement region and thus improves in terms of errors by about two orders of magnitude over previous approaches. In addition, errors are localized at coarse-fine boundaries and do not suffer from Fourier-space-induced interference ringing. An optional hybrid multi-grid and Fast Fourier Transform (FFT) based scheme is introduced which has identical Fourier-space behaviour as traditional approaches. Using a suite of re-simulations of a galaxy cluster halo our real-space-based approach is found to reproduce correlation functions, density profiles, key halo properties and subhalo abundances with per cent level accuracy. Finally, we generalize our approach for two-component baryon and dark-matter simulations and demonstrate that the power spectrum evolution is in excellent agreement with linear perturbation theory. For initial baryon density fields, it is suggested to use the local Lagrangian approximation in order to generate a density field for mesh-based codes that is consistent with the Lagrangian perturbation theory instead of the current practice of using the Eulerian linearly scaled densities.

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Metadata

Authors
Hahn, O., & Abel, T.
Venue
Monthly Notices of the Royal Astronomical Society
Publisher
Oxford University Press (OUP)
Published
2011-07-18
Volume
415
Issue
3
Pages
2101-2121
ISSN
0035-8711 (ISSN-L)
DOI
10.1111/j.1365-2966.2011.18820.x
OpenAlex
W1826719611
Cited by
834
References
38
FWCI
7.09
Type
journal article
Language
en
Open access
hybrid

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CoChat. (2026). Citation check: Multi-scale initial conditions for cosmological simulations. https://app.cochat.ai/papers/10.1111/j.1365-2966.2011.18820.x
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Hahn, O., & Abel, T. (2011). Multi-scale initial conditions for cosmological simulations. Monthly Notices of the Royal Astronomical Society. https://doi.org/10.1111/j.1365-2966.2011.18820.x

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