The DOI matches its Crossref record; 157 of the 157 references it cites were found in a registry or an index.
Simulating cosmic structure formation with the gadget-4 code
Open accessAbstract
Numerical methods have become a powerful tool for research in astrophysics, but their utility depends critically on the availability of suitable simulation codes. This calls for continuous efforts in code development, which is necessitated also by the rapidly evolving technology underlying today’s computing hardware. Here, we discuss recent methodological progress in the gadget code, which has been widely applied in cosmic structure formation over the past two decades. The new version offers improvements in force accuracy, in time-stepping, in adaptivity to a large dynamic range in time-scales, in computational efficiency, and in parallel scalability through a special MPI/shared-memory parallelization and communication strategy, and a more-sophisticated domain decomposition algorithm. A manifestly momentum conserving fast multipole method (FMM) can be employed as an alternative to the one-sided TreePM gravity solver introduced in earlier versions. Two different flavours of smoothed particle hydrodynamics, a classic entropy-conserving formulation and a pressure-based approach, are supported for dealing with gaseous flows. The code is able to cope with very large problem sizes, thus allowing accurate predictions for cosmic structure formation in support of future precision tests of cosmology, and at the same time is well adapted to high dynamic range zoom-calculations with extreme variability of the particle number density in the simulated volume. The gadget-4 code is publicly released to the community and contains infrastructure for on-the-fly group and substructure finding and tracking, as well as merger tree building, a simple model for radiative cooling and star formation, a high dynamic range power spectrum estimator, and an initial condition generator based on second-order Lagrangian perturbation theory.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A Universal Density Profile from Hierarchical Clustering
Navarro, J. F., Frenk, C. S., & White, S. D. M. (1997) · The Astrophysical Journal · doi:10.1086/304888 · Cited by 9,917
Smoothed particle hydrodynamics: theory and application to non-spherical stars
Gingold, R. A., & Monaghan, J. J. (1977) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/181.3.375 · Cited by 7,272
The cosmological simulation code gadget-2
Springel, V. (2005) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2005.09655.x · Cited by 6,368
Self-citationA Universal Density Profile from Hierarchical ClusteringPreprint
Navarro, J. F., Frenk, C. S., & White, S. D. M. (1996) · Cited by 6,275
Die Berechnung optischer und elektrostatischer Gitterpotentiale
Ewald, P. P. (1921) · Annalen der Physik · doi:10.1002/andp.19213690304 · Cited by 6,013
Computer Simulation Using Particles
Hockney, R. W., & Eastwood, J. W. (1988) · Institute of Physics eBooks · doi:10.1887/0852743920 · Cited by 5,441
The Design and Implementation of FFTW3
Frigo, M., & Johnson, S. G. (2005) · Proceedings of the IEEE · doi:10.1109/jproc.2004.840301 · Cited by 5,086
Simulations of the formation, evolution and clustering of galaxies and quasars
Springel, V., White, S. D. M., Jenkins, A., Frenk, C. S., Yoshida, N., Gao, L., Navarro, J., Thacker, R., Croton, D., Helly, J., et al. (2005) · Nature · doi:10.1038/nature03597 · Cited by 5,067
Self-citationSmoothed Particle Hydrodynamics
Monaghan, J. J. (1992) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.aa.30.090192.002551 · Cited by 4,957
A fast algorithm for particle simulations
Greengard, L., & Rokhlin, V (1987) · Journal of Computational Physics · doi:10.1016/0021-9991(87)90140-9 · Cited by 4,868
Research works printed but not linked: 38
- Almgren, 2013, ApJ, 765, 39, 10.1088/0004-637X/765/1/39 · doi:10.1088/0004-637x/765/1/39
- Barnes, 1990, J. Comput. Phys., 87, 161, 10.1016/0021-9991(90)90232-P · doi:10.1016/0021-9991(90)90232-p
- Borrow, 2018, Proceedings of the 13th SPHERIC International Workshop, 44
- Capuzzo-Dolcetta, 1998, J. Comput. Phys., 143, 29, 10.1006/jcph.1998.5949 · doi:10.1006/jcph.1998.5949
- Coles, 2020, Comput. Phys. Commun., 251, 107081, 10.1016/j.cpc.2019.107081 · doi:10.1016/j.cpc.2019.107081
- Creasey, 2018, Astron. Comput., 25, 159, 10.1016/j.ascom.2018.09.010 · doi:10.1016/j.ascom.2018.09.010
- Gaburov, 2011, MNRAS, 414, 129, 10.1111/j.1365-2966.2011.18313.x · doi:10.1111/j.1365-2966.2011.18313.x
- Glimm, 1965, Commun. Pure Appl. Math., 18, 697, 10.1002/cpa.3160180408 · doi:10.1002/cpa.3160180408
- Heß, 2010, MNRAS, 406, 2289, 10.1111/j.1365-2966.2010.16892.x · doi:10.1111/j.1365-2966.2010.16892.x
- Hosono, 2016, ApJS, 224, 32, 10.3847/0067-0049/224/2/32 · doi:10.3847/0067-0049/224/2/32
- Huang, 2019, MNRAS, 484, 2021, 10.1093/mnras/stz057 · doi:10.1093/mnras/stz057
- Huang, 2018, MNRAS, 478, 5063, 10.1093/mnras/sty1329 · doi:10.1093/mnras/sty1329
- Hunter, 1972, Ann. Rev. Fluid Mech., 4, 219, 10.1146/annurev.fl.04.010172.001251 · doi:10.1146/annurev.fl.04.010172.001251
- Ishiyama, 2020, MNRAS
- Ishiyama, 2012, Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis, SC ’12
- Kodama, 2019, PASJ, 71, 35, 10.1093/pasj/psy151 · doi:10.1093/pasj/psy151
- Ledoux, 1951, Ann. Astrophys., 14, 438
- Maciejewski, 2009, MNRAS, 393, 703, 10.1111/j.1365-2966.2008.14121.x · doi:10.1111/j.1365-2966.2008.14121.x
- McNally, 2012, ApJS, 200, 7, 10.1088/0067-0049/200/1/7 · doi:10.1088/0067-0049/200/1/7
- Murante, 2011, MNRAS, 417, 136, 10.1111/j.1365-2966.2011.19021.x · doi:10.1111/j.1365-2966.2011.19021.x
- Roy, 2014, A&A, 564, A13, 10.1051/0004-6361/201322555 · doi:10.1051/0004-6361/201322555
- Schmidt, 2018, MNRAS, 479, 162, 10.1093/mnras/sty1430 · doi:10.1093/mnras/sty1430
- Schuchart, 2018, Hpc Asia’18: Proceedings of Workshops of Hpc Asia, Vol. 21
- Scoccimarro, 2012, Phys. Rev. D, 85, 083002
- Sembolini, 2016, MNRAS, 457, 4063, 10.1093/mnras/stw250 · doi:10.1093/mnras/stw250
- Skory, 2010, ApJS, 191, 43, 10.1088/0067-0049/191/1/43 · doi:10.1088/0067-0049/191/1/43
- Tanikawa, 2012, New Astron., 17, 82, 10.1016/j.newast.2011.07.001 · doi:10.1016/j.newast.2011.07.001
- Tanikawa, 2013, New Astron., 19, 74, 10.1016/j.newast.2012.08.009 · doi:10.1016/j.newast.2012.08.009
- Thiébaut, 2008, MNRAS, 387, 397, 10.1111/j.1365-2966.2008.13250.x · doi:10.1111/j.1365-2966.2008.13250.x
- Valdarnini, 2012, A&A, 546, A45, 10.1051/0004-6361/201219715 · doi:10.1051/0004-6361/201219715
- Vazza, 2011, MNRAS, 410, 461, 10.1111/j.1365-2966.2010.17455.x · doi:10.1111/j.1365-2966.2010.17455.x
- White, 1996, Cosmology and Large Scale Structure, Proceedings of the Les Houches Summer School, 349
- Williams, 2012, C++ Concurrency in Action: Practical Multithreading
- Winkel, 2012, Comput. Phys. Commun., 183, 880, 10.1016/j.cpc.2011.12.013 · doi:10.1016/j.cpc.2011.12.013
- Yoshikawa, 2018, Res. Notes AAS, 2, 231, 10.3847/2515-5172/aaf7a2 · doi:10.3847/2515-5172/aaf7a2
- Yu, 2018, ApJS, 237, 24, 10.3847/1538-4365/aac830 · doi:10.3847/1538-4365/aac830
- Zhang, 2018, Phys. Rev. D, 98, 103530
- Zhu, 2015, ApJ, 800, 6, 10.1088/0004-637X/800/1/6 · doi:10.1088/0004-637x/800/1/6
Cited by
Di Valentino, E., Said, J. L., Riess, A., Pollo, A., Poulin, V., Gómez-Valent, A., Weltman, A., Palmese, A., Huang, C. D., Bruck, C. V. D., et al. (2025) · Physics of the Dark Universe · doi:10.1016/j.dark.2025.101965 · Cited by 319
Koop, O., Antoja, T., Helmi, A., Callingham, T. M., & Laporte, C. F. P. (2024) · Astronomy & Astrophysics · doi:10.1051/0004-6361/202450911 · Cited by 14
Neukart, F., Marx, E., & Vinokur, V. (2025) · Entropy · doi:10.3390/e27101043 · Cited by 4
Metadata
- Authors
- Springel, V., Pakmor, R., Zier, O., & Reinecke, M.
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 2021-07-01
- Volume
- 506
- Issue
- 2
- Pages
- 2871-2949
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W3092395542
- Cited by
- 422
- References
- 157
- FWCI
- 33.78
- Type
- journal article
- Language
- en
- Open access
- hybrid
- Funders
- European Research Council (EXAGAL-308037)
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Simulating cosmic structure formation with the gadget-4 code. https://app.cochat.ai/papers/10.1093/mnras/stab1855
- The paper
- Springel, V., Pakmor, R., Zier, O., & Reinecke, M. (2021). Simulating cosmic structure formation with the gadget-4 code. Monthly Notices of the Royal Astronomical Society. https://doi.org/10.1093/mnras/stab1855
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.