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We present sCOLA -- an extension of the N-body COmoving Lagrangian Acceleration (COLA) method to the spatial domain. Similar to the original temporal-domain COLA, sCOLA is an N-body method for solving for large-scale structure in a frame…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-02 Svetlin Tassev , Daniel J. Eisenstein , Benjamin D. Wandelt , Matias Zaldarriaga

Year 1 results of the Legacy Survey of Space and Time (LSST) will provide tighter constraints on small-scale cosmology, beyond the validity of linear perturbation theory. This heightens the demand for a computationally affordable…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-27 Jonathan Gordon , Bernardo F. de Aguiar , João Rebouças , Guilherme Brando , Felipe Falciano , Vivian Miranda , Kazuya Koyama , Hans A. Winther

We implement an adaptation of the COLA approach, a hybrid scheme that combines Lagrangian perturbation theory with an N-body approach, to model non-linear collapse in chameleon and symmetron modified gravity models. Gravitational screening…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-30 Georgios Valogiannis , Rachel Bean

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 an accurate and fast framework for generating mock catalogues including low-mass halos, based on an implementation of the COmoving Lagrangian Acceleration (COLA) technique. Multiple realisations of mock catalogues are crucial for…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-20 Jun Koda , Chris Blake , Florian Beutler , Eyal Kazin , Felipe Marin

Existing cosmological simulation methods lack a high degree of parallelism due to the long-range nature of the gravitational force, which limits the size of simulations that can be run at high resolution. To solve this problem, we propose a…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-19 Florent Leclercq , Baptiste Faure , Guilhem Lavaux , Benjamin D. Wandelt , Andrew H. Jaffe , Alan F. Heavens , Will J. Percival , Camille Noûs

We present a test to quantify how well some approximate methods, designed to reproduce the mildly non-linear evolution of perturbations, are able to reproduce the clustering of DM halos once the grouping of particles into halos is defined…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-09 Emiliano Munari , Pierluigi Monaco , Jun Koda , Francisco-Shu Kitaura , Emiliano Sefusatti , Stefano Borgani

$N$-body simulations are computationally expensive, so machine-learning (ML)-based emulation techniques have emerged as a way to increase their speed. Although fast, surrogate models have limited trustworthiness due to potentially…

Instrumentation and Methods for Astrophysics · Physics 2025-02-26 Deaglan J. Bartlett , Marco Chiarenza , Ludvig Doeser , Florent Leclercq

Upcoming galaxy surveys will bring a wealth of information about the clustering of matter, but modeling small-scale structure beyond $\Lambda$CDM remains computationally challenging. While accurate N-body emulators exist to model the matter…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 João Rebouças , Victoria Lloyd , Jonathan Gordon , Guilherme Brando , Vivian Miranda

We investigate the feasibility of using COmoving Lagrangian Acceleration (COLA) technique to efficiently generate galaxy mock catalogues that can accurately reproduce the statistical properties of observed galaxies. Our proposed scheme…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-06 Jiacheng Ding , Shaohong Li , Yi Zheng , Xiaolin Luo , Le Zhang , Xiao-Dong Li

Approximate N-body methods, such as FastPM and COLA, have been successful in modelling halo and galaxy clustering statistics, but their low resolution on small scales is a limitation for applications that require high precision. Full N-body…

Instrumentation and Methods for Astrophysics · Physics 2024-06-18 Yiheng Wu , Hong Guo , Volker Springel

We revisit a method to incorporate the Vainshtein screening mechanism in N-body simulations proposed by R. Scoccimarro in~\cite{Scoccimarro:2009eu}. We further extend this method to cover a subset of Horndeski theories that evade the bound…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-28 Guilherme Brando , Kazuya Koyama , Hans A. Winther

Fast N-body PM simulations with a small number of time steps such as FastPM or COLA have been remarkably successful in modeling the galaxy statistics, but their lack of small scale force resolution and long time steps cannot give accurate…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-14 Biwei Dai , Yu Feng , Uros Seljak

We introduce $\texttt{Hi-COLA}$, a code designed to run fast, approximate $\textit{N}$-body simulations of non-linear structure formation in reduced Horndeski gravity. Given an input Lagrangian, $\texttt{Hi-COLA}$ dynamically constructs the…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-24 Bill S. Wright , Ashim Sen Gupta , Tessa Baker , Georgios Valogiannis , Bartolomeo Fiorini

We introduce FastPM, a highly-scalable approximated particle mesh N-body solver, which implements the particle mesh (PM) scheme enforcing correct linear displacement (1LPT) evolution via modified kick and drift factors. Employing a…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-14 Yu Feng , Man-Yat Chu , Uros Seljak , Patrick McDonald

We investigate the viability of producing galaxy mock catalogues with COmoving Lagrangian Acceleration (COLA) simulations in Modified Gravity (MG) models employing the Halo Occupation Distribution (HOD) formalism. In this work, we focus on…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-20 Bartolomeo Fiorini , Kazuya Koyama , Albert Izard , Hans A. Winther , Bill S. Wright , Baojiu Li

Accurate predictions of weak lensing observables are essential for understanding the large-scale structure of the Universe and probing the nature of gravity. In this work, we present a lightcone implementation to generate maps of the weak…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-28 Sophie Hoyland , Hans A. Winther , Daniela Saadeh , Kazuya Koyama , Albert Izard

Modelling the cosmic large-scale structure can be done through numerical N-body simulations or by using perturbation theory. Here, we present an N-body approach that effectively implements a multi-step forward model based on Lagrangian…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-13 Cornelius Rampf , Florian List , Oliver Hahn

The analysis of cosmological galaxy surveys requires realistic simulations for their interpretation. Forward modelling is a powerful method to simulate galaxy clustering without the need for an underlying complex model. This approach…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-07 Pascale Berner , Alexandre Refregier , Raphael Sgier , Tomasz Kacprzak , Luca Tortorelli , Pierluigi Monaco

We present the latest version of Pinocchio, a code that generates catalogues of DM haloes in an approximate but fast way with respect to an N-body simulation. This code version extends the computation of particle and halo displacements up…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-11 Emiliano Munari , Pierluigi Monaco , Emiliano Sefusatti , Emanuele Castorina , Faizan G. Mohammad , Stefano Anselmi , Stefano Borgani
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