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Related papers: Hierarchical Tree Algorithm for Collisional N-body…

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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…

Earth and Planetary Astrophysics · Physics 2015-05-27 Shoichi Oshino , Yoko Funato , Junichiro Makino

We present Particle-Particle-Particle-Mesh (PPPM) and Tree Particle-Mesh (TreePM) implementations on GRAPE-5 and GRAPE-6A systems, special-purpose hardware accelerators for gravitational many-body simulations. In our PPPM and TreePM…

Astrophysics · Physics 2015-06-24 Kohji Yoshikawa , Toshiyuki Fukushige

Gravitational $N$-body simulations calculate numerous interactions between particles. The tree algorithm reduces these calculations by constructing a hierarchical oct-tree structure and approximating gravitational forces on particles. Over…

Instrumentation and Methods for Astrophysics · Physics 2024-01-09 Tomoyuki Tokuue , Tomoaki Ishiyama

We propose a hybrid tree algorithm for reducing calculation and communication cost of collision-less N-body simulations. The concept of our algorithm is that we split interaction force into two parts: hard-force from neighbor particles and…

Instrumentation and Methods for Astrophysics · Physics 2014-06-25 Tsuyoshi Watanabe , Naohito Nakasato

We propose an efficient method for active particle selection, working with Hermite Individual Time Steps (HITS) scheme in direct N-body simulation code $\varphi$GRAPE. For a simulation with $N$ particles, this method can reduce the…

Data Structures and Algorithms · Computer Science 2014-09-16 Shiyan Zhong

In this paper, we describe the design and performance of GRAPE-6A, a special-purpose computer for gravitational many-body simulations. It was designed to be used with a PC cluster, in which each node has one GRAPE-6A. Such configuration is…

Astrophysics · Physics 2015-06-24 Toshiyuki Fukushige , Junichiro Makino , Atsushi Kawai

The tree method is a widely implemented algorithm for collisionless $N$-body simulations in astrophysics well suited for GPU(s). Adopting hierarchical time stepping can accelerate $N$-body simulations; however, it is infrequently…

Instrumentation and Methods for Astrophysics · Physics 2016-11-09 Yohei Miki , Masayuki Umemura

We have developed a special-purpose computer for gravitational many-body simulations, GRAPE-5. GRAPE-5 is the successor of GRAPE-3. Both consist of eight custom pipeline chips (G5 chip and GRAPE chip). The difference between GRAPE-5 and…

Astrophysics · Physics 2015-06-24 Atsushi Kawai , Toshiyuki Fukushige , Junichiro Makino , Makoto Taiji

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…

Astrophysics · Physics 2008-11-26 Simon Portegies Zwart , Robert Belleman , Peter Geldof

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 have developed PROGRAPE-1 (PROgrammable GRAPE-1), a programmable multi-purpose computer for many-body simulations. The main difference between PROGRAPE-1 and "traditional" GRAPE systems is that the former uses FPGA (Field Programmable…

Astrophysics · Physics 2015-06-24 Tsuyoshi Hamada , Toshiyuki Fukushige , Atsushi Kawai , Junichiro Makino

We have newly developed a Parallelized Particle-Particle Particle-tree code for Planet formation, PENTACLE, which is a parallelized hybrid $N$-body integrator executed on a CPU-based (super)computer. PENTACLE uses a 4th-order Hermite…

Earth and Planetary Astrophysics · Physics 2018-10-30 Masaki Iwasawa , Shoichi Oshino , Michiko S. Fujii , Yasunori Hori

(Abridged) We have developed a numerical software library for collisionless N-body simulations named "Phantom-GRAPE" which highly accelerates force calculations among particles by use of a new SIMD instruction set extension to the x86…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Ataru Tanikawa , Kohji Yoshikawa , Keigo Nitadori , Takashi Okamoto

We present the results of gravitational direct $N$-body simulations using the Graphics Processing Unit (GPU) on a commercial NVIDIA GeForce 8800GTX designed for gaming computers. The force evaluation of the $N$-body problem is implemented…

Astrophysics · Physics 2008-11-26 Robert G. Belleman , Jeroen Bedorf , Simon Portegies Zwart

A combined N--body/SPH code is presented which benefits from the high speed of the special purpose hardware GRAPE (GRAvity PipE). Besides gravitational forces, GRAPE also returns the list of neighbours and can, therefore, be used to speed…

Astrophysics · Physics 2015-06-24 Matthias Steinmetz

The main performance bottleneck of gravitational N-body codes is the force calculation between two particles. We have succeeded in speeding up this pair-wise force calculation by factors between two and ten, depending on the code and the…

Astrophysics · Physics 2009-11-13 Keigo Nitadori , Junichiro Makino , Piet Hut

I describe here the performances of a parallel treecode with individual particle timesteps. The code is based on the Barnes-Hut algorithm and runs cosmological N-body simulations on parallel machines with a distributed memory architecture…

Astrophysics · Physics 2007-05-23 R. Valdarnini

This paper is aimed at improving the performance of the treecode algorithm for N-Body simulation by employing the NetSolve GridRPC programming model to exploit the use of multiple clusters. N-Body is a classical problem, and appears in many…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-13 Truong Vinh Truong Duy , Katsuhiro Yamazaki , Shigeru Oyanagi

The performance and accuracy of a GRAPE-3 system for collisionless N-body simulations is discussed. After a description of the hardware configurations available to us at Marseille, and the usefulness of on-line analysis, we concentrate on…

Astrophysics · Physics 2009-10-30 E. Athanassoula , A. Bosma , J. -C. Lambert , J. Makino

As an entry for the 1999 Gordon Bell price/performance prize, we report an astrophysical N-body simulation performed with a treecode on GRAPE-5 (Gravity Pipe 5) system, a special-purpose computer for astrophysical N-body simulations. The…

Astrophysics · Physics 2007-05-23 Atsushi Kawai , Toshiyuki Fukushige , Junichiro Makino
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