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We present a new high-resolution N-body algorithm for cosmological simulations. The algorithm employs a traditional particle-mesh technique on a cubic grid and successive multilevel relaxations on the finer meshes, introduced recursively in…

Astrophysics · Physics 2009-10-30 Andrey V. Kravtsov , Anatoly A. Klypin , Alexei M. Khokhlov

There is strong evidence that cosmological N-body simulations dominated by Warm Dark Matter (WDM) contain spurious or unphysical haloes, most readily apparent as regularly spaced low-mass haloes strung along filaments. We show that spurious…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-17 Chris Power , Aaron S. G. Robotham , Danail Obreschkow , Alexander Hobbs , Geraint F. Lewis

We study the impact of numerical parameters on the properties of cold dark matter haloes formed in collisionless cosmological simulations. We quantify convergence in the median spherically-averaged circular velocity profiles for haloes of…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-12 Aaron D. Ludlow , Joop Schaye , Richard Bower

N-body simulations are essential for understanding the formation and evolution of structure in the Universe. However, the discrete nature of these simulations affects their accuracy when modelling collisionless systems. We introduce a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-18 Oliver Hahn , Raul E. Angulo

We propose to determine the optimal softening length in N-body halo simulations by minimizing the ensemble-average acceleration error at a small radius r0. This strategy ensures that the error never exceeds the optimal value beyond r0.…

Astrophysics · Physics 2009-11-13 Hu Zhan

Traditional N-body methods introduce localised perturbations in the gravitational forces governing their evolution. These perturbations lead to an artificial fragmentation in the filamentary network of the Large Scale Structure, often…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-28 Robert A. Mostoghiu Paun , Darren Croton , Chris Power , Alexander Knebe , Adam J. Ussing , Alan R. Duffy

Any measurement made using an N-body simulation is subject to noise due to the finite number of particles used to sample the dark matter distribution function, and the lack of structure below the simulation resolution. This noise can be…

Astrophysics of Galaxies · Physics 2017-08-16 Andrew J. Benson

Fuzzy dark matter (FDM) made of ultra-light bosonic particles is a viable alternative to cold dark matter (CDM) with clearly distinguishable small-scale features in collapsed structures. On large scales, it behaves gravitationally like CDM…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-11 Bodo Schwabe , Jens C. Niemeyer

Modeling self-gravity of collisionless fluids (e.g. ensembles of dark matter, stars, black holes, dust, planetary bodies) in simulations is challenging and requires some force softening. It is often desirable to allow softenings to evolve…

Astrophysics of Galaxies · Physics 2025-12-22 Philip F. Hopkins , Ethan O. Nadler , Michael Y. Grudic , Xuejian Shen , Isabel Sands , Fangzhou Jiang

We present "sheet+release" simulations that reliably follow the evolution of dark matter structure at and below the dark matter free-streaming scale, where instabilities in traditional N-body simulations create a large population of…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Jens Stücker , Raul E. Angulo , Oliver Hahn , Simon D. M. White

We examine the effects of mass resolution and force softening on the density profiles of cold dark matter halos that form within cosmological N-body simulations. As we increase the mass and force resolution, we resolve progenitor halos that…

Astrophysics · Physics 2009-10-30 Ben Moore , Fabio Governato , Tom Quinn , Joachim Stadel , George Lake

We describe a new algorithm for finding substructures within dark matter haloes from N-body simulations. The algorithm relies upon the fact that dynamically distinct substructures in a halo will have a {\em local} velocity distribution that…

Cosmology and Nongalactic Astrophysics · Physics 2011-10-27 Pascal J. Elahi , Robert J. Thacker , Lawrence M. Widrow

We use techniques from nonparametric function estimation theory to extract the density profiles, and their derivatives, from a set of N-body dark matter halos. We consider halos generated from LCDM simulations of gravitational clustering,…

Astrophysics · Physics 2012-04-26 David Merritt , Alister W. Graham , Ben Moore , Juerg Diemand , Balsa Terzic

We propose a new numerical procedure to simulate a single dark halo of any size and mass in a hierarchical framework coupling the extended Press-Schechter formalism (EPSF) to N-body simulations. The procedure consists of assigning…

Astrophysics · Physics 2009-11-07 Elena D'Onghia , Claudio Firmani , Guido Chincarini

One of the main challenges in numerically solving partial differential equations is finding a discretisation for the computational domain that balances the accurate representation of the underlying field with computational efficiency.…

Fluid Dynamics · Physics 2026-04-24 Miha Rot , Gregor Kosec

Accurate predictions of the abundance and clustering of dark matter haloes play a key role in testing the standard cosmological model. Here, we investigate the accuracy of one of the leading methods of connecting the simulated dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-15 Anatoly Klypin , Francisco Prada , Gustavo Yepes , Steffen Hess , Stefan Gottlober

Recent cosmological bounds on the sum of neutrino masses, M_nu = sum m_nu, are in tension with laboratory oscillation experiments, making cosmological tests of neutrino free-streaming imperative. In order to study the scale-dependent…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Amol Upadhye , Yin Li

Although high-resolution N-body simulations make robust empirical predictions for the density distribution within cold dark matter halos, these studies have yielded little physical insight into the origins of the distribution. We…

Astrophysics · Physics 2008-11-26 Liliya L. R. Williams , Arif Babul , Julianne J. Dalcanton

Next generation galaxy surveys demand the development of massive ensembles of galaxy mocks to model the observables and their covariances, what is computationally prohibitive using $N$-body simulations. COLA is a novel method designed to…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-07 Albert Izard , Martin Crocce , Pablo Fosalba

We present a comprehensive set of convergence tests which explore the role of various numerical parameters on the equilibrium structure of a simulated dark matter halo. We report results obtained with two independent, state-of-the-art,…

Astrophysics · Physics 2008-11-26 C. Power , J. F. Navarro , A. Jenkins , C. S. Frenk , S. D. M. White , V. Springel , J. Stadel , T. Quinn
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