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We have performed fully self-consistent $N$-body simulations of star clusters near the Galactic center (GC). Such simulations have not been performed because it is difficult to perform fast and accurate simulations of such systems using…

天体物理学 · 物理学 2009-11-13 M. Fujii , M. Iwasawa , Y. Funato , J. Makino

In this paper, we present a new hybrid algorithm for the time integration of collisional N-body systems. In this algorithm, gravitational force between two particles is divided into short-range and long-range terms, using a…

地球与行星天体物理 · 物理学 2015-05-27 Shoichi Oshino , Yoko Funato , Junichiro Makino

The "gravitational million-body problem," to model the dynamical evolution of a self-gravitating, collisional N-body system with ~10^6 particles over many relaxation times, remains a major challenge in computational astrophysics.…

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…

天体物理仪器与方法 · 物理学 2010-11-08 Simos Konstantinidis , Kostas D. Kokkotas

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…

天体物理学 · 物理学 2008-11-26 Alessia Gualandris , Simon Portegies Zwart , Alfredo Tirado-Ramos

We present a new hybrid Smoothed Particle Hydrodynamics (SPH)/N-body method for modelling the collisional stellar dynamics of young clusters in a live gas background. By deriving the equations of motion from Lagrangian mechanics we obtain a…

天体物理仪器与方法 · 物理学 2015-06-12 D. A. Hubber , R. J. Allison , R. Smith , S. P. Goodwin

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…

星系天体物理 · 物理学 2021-08-24 Diptajyoti Mukherjee , Qirong Zhu , Hy Trac , Carl L. Rodriguez

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.…

天体物理仪器与方法 · 物理学 2015-06-05 R. Capuzzo-Dolcetta , M. Spera , D. Punzo

We review the recent optimizations of gravitational $N$-body kernels for running them on graphics processing units (GPUs), on single hosts and massive parallel platforms. For each of the two main $N$-body techniques, direct summation and…

天体物理仪器与方法 · 物理学 2014-09-22 Simon Portegies Zwart , Jeroen Bédorf

We present an implementation of the hierarchical tree algorithm on the individual timestep algorithm (the Hermite scheme) for collisional $N$-body simulations, running on GRAPE-9 system, a special-purpose hardware accelerator for…

天体物理仪器与方法 · 物理学 2016-03-23 Toshiyuki Fukushige , Atsushi Kawai

We present a novel method for efficient direct integration of gravitational N-body systems with a large variation in characteristic time scales. The method is based on a recursive and adaptive partitioning of the system based on the…

天体物理仪器与方法 · 物理学 2014-10-08 Jürgen Jänes , Federico I. Pelupessy , Simon F. Portegies Zwart

REBOUND is a new multi-purpose N-body code which is freely available under an open-source license. It was designed for collisional dynamics such as planetary rings but can also solve the classical N-body problem. It is highly modular and…

地球与行星天体物理 · 物理学 2012-01-24 Hanno Rein , Shang-Fei Liu

This paper concentrates on four key tools for performing star cluster simulations developed during the last decade which are sufficient to handle all the relevant dynamical aspects. First we discuss briefly the Hermite integration scheme…

天体物理学 · 物理学 2009-10-31 Sverre J. Aarseth

Star clusters form via clustering star formation inside molecular clouds. In order to understand the dynamical evolution of star clusters in their early phase, in which star clusters are still embedded in their surrounding gas, we need an…

星系天体物理 · 物理学 2021-05-26 M. S. Fujii , T. R. Saitoh , L. Wang , Y. Hirai

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…

天体物理学 · 物理学 2009-10-30 Andrey V. Kravtsov , Anatoly A. Klypin , Alexei M. Khokhlov

This paper presents a fast, economical particle-multiple-mesh N-body code optimized for large-N modelling of collisionless dynamical processes, such as black-hole wandering or bar-halo interactions, occurring within isolated galaxies. The…

天体物理学 · 物理学 2007-11-07 John Magorrian

We have implemented a parallel version of the Barnes-Hut 3-D N-body tree algorithm under PVM 3.2.5, adopting an SPMD paradigm. We parallelize the problem by decomposing the physical domain by means of the {\bf Orthogonal Recursive…

天体物理学 · 物理学 2007-05-23 V. Antonuccio-Delogu , U. Becciani

We describe a novel N-body code designed for simulations of the central regions of galaxies containing massive black holes. The code incorporates Mikkola's 'algorithmic' chain regularization scheme including post-Newtonian terms up to PN2.5…

天体物理学 · 物理学 2009-11-13 S. Harfst , A. Gualandris , D. Merritt , S. Mikkola

The gravitational $N$-body problem, which is fundamentally important in astrophysics to predict the motion of $N$ celestial bodies under the mutual gravity of each other, is usually solved numerically because there is no known general…

计算物理 · 物理学 2021-12-10 Maxwell X. Cai , Simon Portegies Zwart , Damian Podareanu

Leapfrog integration has been the method of choice in N-body simulations owing to its low computational cost for a symplectic integrator with second order accuracy. We introduce a new leapfrog integrator that allows for variable timesteps…

天体物理学 · 物理学 2007-05-23 Thomas Quinn , Neal Katz , Joachim Stadel , George Lake
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