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We present the first detailed comparison between million-body globular cluster simulations computed with a H\'enon-type Monte Carlo code, CMC, and a direct $N$-body code, NBODY6++GPU. Both simulations start from an identical cluster model…

Instrumentation and Methods for Astrophysics · Physics 2016-08-31 Carl L. Rodriguez , Meagan Morscher , Long Wang , Sourav Chatterjee , Frederic A. Rasio , Rainer Spurzem

We describe the public release of the Cluster Monte Carlo Code (CMC) a parallel, star-by-star $N$-body code for modeling dense star clusters. CMC treats collisional stellar dynamics using H\'enon's method, where the cumulative effect of…

A revision of Stodolkiewicz's Monte-Carlo code is used to simulate evolution of star clusters. The new method treats each superstar as a single star and follows the evolution and motion of all individual stellar objects. The first…

Astrophysics · Physics 2009-10-30 Mirek Giersz

Astrophysical Challenges which demand the solution of the one million (or more) gravitating body problem are briefly discussed for the fields of cosmology, galactic nuclei and globular star clusters. Results from the classical three-body…

Astrophysics · Physics 2016-11-23 R. Spurzem , A. Kugel

Stellar systems are broadly divided into collisional and non-collisional. The latter are large-N systems with long relaxation timescales and can be simulated disregarding two-body interactions, while either computationally expensive direct…

Astrophysics of Galaxies · Physics 2021-05-05 Pierfrancesco Di Cintio , Mario Pasquato , Hyunwoo Kim , Suk-Jin Yoon

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

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

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

We present a new parallel supercomputer implementation of the Monte-Carlo method for simulating the dynamical evolution of globular star clusters. Our method is based on a modified version of Henon's Monte-Carlo algorithm for solving the…

Astrophysics · Physics 2009-10-31 Kriten Joshi , Frederic Rasio , Simon Portegies Zwart

We developed a new direct-tree hybrid N-body algorithm for fully self-consistent N-body simulations of star clusters in their parent galaxies. In such simulations, star clusters need high accuracy, while galaxies need a fast scheme because…

Astrophysics · Physics 2015-05-13 M. Fujii , M. Iwasawa , Y. Funato , J. Makino

Special high-accuracy direct force summation N-body algorithms and their relevance for the simulation of the dynamical evolution of star clusters and other gravitating N-body systems in astrophysics are presented, explained and compared…

Astrophysics · Physics 2007-05-23 R. Spurzem

In a previous paper we introduced a new method for simulating collisional gravitational $N$-body systems with linear time scaling on $N$, based on the Multi-Particle Collision (MPC) approach. This allows us to simulate globular clusters…

Astrophysics of Galaxies · Physics 2022-03-04 Pierfrancesco Di Cintio , Mario Pasquato , Alicia Simon-Petit , Suk-Jin Yoon

This paper describes an N-body model for the dynamical evolution of the nearby globular cluster M4. The initial conditions, with N = 484710 particles, were generated from a published study of this cluster with a Monte Carlo code. With the…

Astrophysics of Galaxies · Physics 2015-06-22 Douglas C. Heggie

We have developed a new simulation code aimed at studying the stellar dynamics of a galactic central star cluster surrounding a massive black hole. In order to include all the relevant physical ingredients (2-body relaxation, stellar mass…

Astrophysics · Physics 2009-11-06 Marc Freitag , Willy Benz

We have recently written a new code to simulate the long term evolution of spherical clusters of stars. It is based on the pioneering Monte Carlo scheme proposed by Henon in the 70's. Our code has been devised in the specific goal to treat…

Astrophysics · Physics 2009-11-07 Marc Freitag , Willy Benz

We have developed a new parallel supercomputer code based on Henon's Monte Carlo method for simulating the dynamical evolution of globular clusters. This new code allows us to calculate the evolution of a cluster containing a realistic…

Astrophysics · Physics 2007-05-23 F. A. Rasio

Direct $N$-body simulations of star clusters are accurate but expensive, largely due to the numerous $\mathcal{O} (N^2)$ pairwise force calculations. To solve the post-million-body problem, it will be necessary to use approximate force…

Astrophysics of Galaxies · Physics 2021-08-24 Diptajyoti Mukherjee , Qirong Zhu , Hy Trac , Carl L. Rodriguez

We review what has been learned recently using N-body simulations about the evolution of globular clusters. While simulations of star clusters have become more realistic, and now include the evolution of single and binary stars, the…

Astrophysics · Physics 2007-05-23 Douglas C. Heggie

We present a new parallel code for computing the dynamical evolution of collisional N-body systems with up to N~10^7 particles. Our code is based on the the Henon Monte Carlo method for solving the Fokker-Planck equation, and makes…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Bharath Pattabiraman , Stefan Umbreit , Wei-Keng Liao , Alok Choudhary , Vassiliki Kalogera , Gokhan Memik , Frederic A. Rasio

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
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