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We describe the newly written code GADGET which is suitable both for cosmological simulations of structure formation and for the simulation of interacting galaxies. GADGET evolves self-gravitating collisionless fluids with the traditional…

Astrophysics · Physics 2009-09-25 Volker Springel , Naoki Yoshida , Simon D. M. White

We developed a Keplerian-based Hamiltonian splitting for solving the gravitational $N$-body problem. This splitting allows us to approximate the solution of a general $N$-body problem by a composition of multiple, independently evolved…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 G. Gonçalves Ferrari , T. Boekholt , S. F. Portegies Zwart

We present a new C++ code for collisional N-body simulations of star clusters. The code uses the Hermite fourth-order scheme with block time steps, for advancing the particles in time, while the forces and neighboring particles are computed…

Instrumentation and Methods for Astrophysics · Physics 2010-11-08 Simos Konstantinidis , Kostas D. Kokkotas

We give a full description of the code NBODY2 for direct integration of the gravitational N-body problem. The method of solution is based on the neighbour scheme of Ahmad & Cohen (1973) which speeds up the force calculation already for…

Astrophysics · Physics 2009-11-06 Sverre J. Aarseth

We present and discuss the characteristics and performances, both in term of computational speed and precision, of a numerical code which numerically integrates the equation of motions of N 'particles' interacting via Newtonian gravitation…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 R. Capuzzo-Dolcetta , A. Mastrobuono-Battisti , D. Maschietti

$N$-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

We present recent updates and improvements of the graphical processing unit (GPU) N-body code GENGA. Modern state-of-the-art simulations of planet formation require the use of a very high number of particles to accurately resolve planetary…

Earth and Planetary Astrophysics · Physics 2022-06-29 Simon L. Grimm , Joachim G. Stadel , Ramon Brasser , Matthias M. M. Meier , Christoph Mordasini

We present a new particle-based (discrete element) numerical method for the simulation of granular dynamics, with application to motions of particles on small solar system body and planetary surfaces. The method employs the parallel N-body…

Earth and Planetary Astrophysics · Physics 2013-06-12 Derek C. Richardson , Kevin J. Walsh , Naomi Murdoch , Patrick Michel

The numerical simulations of massive collisional stellar systems, such as globular clusters (GCs), are very time-consuming. Until now, only a few realistic million-body simulations of GCs with a small fraction of binaries (5%) have been…

Instrumentation and Methods for Astrophysics · Physics 2020-07-28 Long Wang , Masaki Iwasawa , Keigo Nitadori , Junichiro Makino

In a Keplerian system, a large number of bodies orbit a central mass. Accretion disks, protoplanetary disks, asteroid belts, and planetary rings are examples. Simulations of these systems require algorithms that are computationally…

Earth and Planetary Astrophysics · Physics 2023-01-18 P. M. Visser

Asteroid shapes and satellites: role of gravitational reaccumulation. Following current evidences, it is widely accepted that many asteroids would be "gravitational aggregates", i.e. bodies lacking internal cohesion. They could mainly be…

The gravitational $N$-body problem is a nearly universal problem in astrophysics which, despite its deceptive simplicity, still presents a significant computational challenge. For collisional systems such as dense star clusters, the need to…

Astrophysics of Galaxies · Physics 2025-12-03 Kerwann Tep , Brian T. Cook , Carl L. Rodriguez , Jiya Jolly , Eddie Sawin , Michael S. Petersen , Christoph Gaffud

This article presents new algorithms for massively parallel granular dynamics simulations on distributed memory architectures using a domain partitioning approach. Collisions are modelled with hard contacts in order to hide their…

Computational Engineering, Finance, and Science · Computer Science 2015-01-26 Tobias Preclik , Ulrich Rüde

We compare the performance of two very different parallel gravitational $N$-body codes for astrophysical simulations on large GPU clusters, both pioneer in their own fields as well as in certain mutual scales - NBODY6++ and Bonsai. We carry…

Instrumentation and Methods for Astrophysics · Physics 2016-01-20 Siyi Huang , Rainer Spurzem , Peter Berczik

A wide variety of outstanding problems in astrophysics involve the motion of a large number of particles ($N\gtrsim 10^{6}$) under the force of gravity. These include the global evolution of globular clusters, tidal disruptions of stars by…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Cristián Maureira-Fredes , Pau Amaro-Seoane

The subjects and key questions faced by computational astrophysics using N-body simulations are discussed in the fields of globular star cluster dynamics, galactic nuclei and cosmological structure formation. After a comparison of the…

Astrophysics · Physics 2007-05-23 Rainer Spurzem

We present the results of gravitational direct $N$-body simulations using the commercial graphics processing units (GPU) NVIDIA Quadro FX1400 and GeForce 8800GTX, and compare the results with GRAPE-6Af special purpose hardware. The force…

Performance · Computer Science 2015-06-25 Simon Portegies Zwart , Robert Belleman , Peter Geldof

We describe the use of Graphics Processing Units (GPUs) for speeding up the code NBODY6 which is widely used for direct $N$-body simulations. Over the years, the $N^2$ nature of the direct force calculation has proved a barrier for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Keigo Nitadori , Sverre J. Aarseth

We present an algorithm named "Chamomile Scheme". The scheme is fully optimized for calculating gravitational interactions on the latest programmable Graphics Processing Unit (GPU), NVIDIA GeForce8800GTX, which has (a) small but fast shared…

Astrophysics · Physics 2007-05-23 Tsuyoshi Hamada , Toshiaki Iitaka

We present a gravitational hierarchical N-body code that is designed to run efficiently on Graphics Processing Units (GPUs). All parts of the algorithm are executed on the GPU which eliminates the need for data transfer between the Central…

Instrumentation and Methods for Astrophysics · Physics 2012-04-12 Jeroen Bédorf , Evghenii Gaburov , Simon Portegies Zwart