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We present a novel $N$-body simulation method that compactifies the infinite spatial extent of the Universe into a finite sphere with isotropic boundary conditions to follow the evolution of the large-scale structure. Our approach…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-04 Gábor Rácz , István Szapudi , István Csabai , László Dobos

The global topology of the Universe can affect long-range gravitational forces via boundary conditions. Detailed studies of non-trivial topologies require simulations that natively adopt such geometries. Cosmological $N$-body simulations…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-13 Gábor Rácz , Viola H. Varga , Balázs Pál , István Szapudi , István Csabai , Till Sawala

N-body simulations are essential tools in physical cosmology to understand the large-scale structure (LSS) formation of the Universe. Large-scale simulations with high resolution are important for exploring the substructure of universe and…

Computational Physics · Physics 2020-10-22 Shenggan Cheng , Hao-Ran Yu , Derek Inman , Qiucheng Liao , Qiaoya Wu , James Lin

This paper focuses on the parallel implementation of a direct $N$-body method~(particle-particle algorithm) and the application of multiple GPUs for galactic dynamics simulations. Application of a hybrid OpenMP-CUDA technology is considered…

Computational Physics · Physics 2018-03-06 S. S. Khrapov , S. A. Khoperskov , A. V. Khoperskov

We discuss the performance of direct summation codes used in the simulation of astrophysical stellar systems on highly distributed architectures. These codes compute the gravitational interaction among stars in an exact way and have an…

Astrophysics · Physics 2008-11-26 Alessia Gualandris , Simon Portegies Zwart , Alfredo Tirado-Ramos

In this review we discuss Cosmological N-Body codes with a special emphasis on Particle Mesh codes. We present the mathematical model for each component of N-Body codes. We compare alternative methods for computing each quantity by…

Astrophysics · Physics 2009-11-10 J. S. Bagla , T. Padmanabhan

We present a new implementation of the numerical integration of the classical, gravitational, N-body problem based on a high order Hermite's integration scheme with block time steps, with a direct evaluation of the particle-particle forces.…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 R. Capuzzo-Dolcetta , M. Spera , D. Punzo

Cosmological N-Body simulations have become an essential tool for studying formation of large scale structure. These simulations are computationally challenging even though the available computing power gets better every year. A number of…

Astrophysics · Physics 2007-05-23 J. S. Bagla

We present $\texttt{Abacus}$, a fast and accurate cosmological $N$-body code based on a new method for calculating the gravitational potential from a static multipole mesh. The method analytically separates the near- and far-field forces,…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-25 Lehman H. Garrison , Daniel J. Eisenstein , Douglas Ferrer , Nina A. Maksimova , Philip A. Pinto

$N$-body simulation serves as a critical method for modeling cosmic evolution and poses a significant challenge in high-performance computing. We present CUBE2, an open-source cosmological $N$-body code emphasizing memory efficiency,…

Instrumentation and Methods for Astrophysics · Physics 2026-03-05 Hao-Ran Yu , Bing-Hang Chen , Kun Xu , Ming-Jie Sheng , Jiaxin Han , Yipeng Jing , Huahua Cui

Accurate direct $N$-body simulations help to obtain detailed information about the dynamical evolution of star clusters. They also enable comparisons with analytical models and Fokker-Planck or Monte-Carlo methods. NBODY6 is a well-known…

Instrumentation and Methods for Astrophysics · Physics 2015-09-23 Long Wang , Rainer Spurzem , Sverre Aarseth , Keigo Nitadori , Peter Berczik , M. B. N. Kouwenhoven , Thorsten Naab

Cosmological large scale structure $N$-body simulations are computation-light, memory-heavy problems in supercomputing. The considerable amount of memory is usually dominated by an inefficient way of storing more than sufficient phase space…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-31 Hao-Ran Yu , Ue-Li Pen , Xin Wang

We present a GPU-accelerated cosmological simulation code, PhotoNs-GPU, based on algorithm of Particle Mesh Fast Multipole Method (PM-FMM), and focus on the GPU utilization and optimization. A proper interpolated method for truncated…

Instrumentation and Methods for Astrophysics · Physics 2021-12-28 Qiao Wang , Chen Meng

Astrophysical research in recent decades has made significant progress thanks to the availability of various $N$-body simulation techniques. With the rapid development of high-performance computing technologies, modern simulations have been…

Instrumentation and Methods for Astrophysics · Physics 2015-10-07 Maxwell Xu Cai , Yohai Meiron , M. B. N. Kouwenhoven , Paulina Assmann , Rainer Spurzem

In this paper, we describe the implementation and performance of GreeM, a massively parallel TreePM code for large-scale cosmological N-body simulations. GreeM uses a recursive multi-section algorithm for domain decomposition. The size of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Tomoaki Ishiyama , Toshiyuki Fukushige , Junichiro Makino

We present FlowPM, a Particle-Mesh (PM) cosmological N-body code implemented in Mesh-TensorFlow for GPU-accelerated, distributed, and differentiable simulations. We implement and validate the accuracy of a novel multi-grid scheme based on…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-23 Chirag Modi , Francois Lanusse , Uros Seljak

In this contribution a broad overview of the methodologies of cosmological N-body simulations and a short introduction explaining the general idea behind such simulations is presented. After explaining how to set up the initial conditions…

Astrophysics · Physics 2009-11-10 Alexander Knebe

We present results from our cosmological N-body simulation which consisted of 2048x2048x2048 particles and ran distributed across three supercomputers throughout Europe. The run, which was performed as the concluding phase of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-27 Derek Groen , Steven Rieder , Simon Portegies Zwart

Cosmological measurements require the calculation of nontrivial quantities over large datasets. The next generation of survey telescopes (such as DES, PanSTARRS, and LSST) will yield measurements of billions of galaxies. The scale of these…

Instrumentation and Methods for Astrophysics · Physics 2012-12-10 Deborah Bard , Matthew Bellis , Mark T. Allen , Hasmik Yepremyan , Jan M. Kratochvil

We present direct astrophysical N-body simulations with up to a few million bodies using our parallel MPI/CUDA code on large GPU clusters in China, Ukraine and Germany, with different kinds of GPU hardware. These clusters are directly…

Instrumentation and Methods for Astrophysics · Physics 2013-12-09 P. Berczik , R. Spurzem , L. Wang , S. Zhong , O. Veles , I. Zinchenko , S. Huang , M. Tsai , G. Kennedy , S. Li , L. Naso , C. Li
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