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We present a high-performance N-body code for self-gravitating collisional systems accelerated with the aid of a new SIMD instruction set extension of the x86 architecture: Advanced Vector eXtensions (AVX), an enhanced version of the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Ataru Tanikawa , Kohji Yoshikawa , Takashi Okamoto , Keigo Nitadori

We present Sapporo, a library for performing high-precision gravitational N-body simulations on NVIDIA Graphical Processing Units (GPUs). Our library mimics the GRAPE-6 library, and N-body codes currently running on GRAPE-6 can switch to…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 Evghenii Gaburov , Stefan Harfst , Simon Portegies Zwart

Modeling of collisionless galactic systems is based on the N-body model, which requires large computational resources due to the long-range nature of gravitational forces. The most common method for calculating gravity is the TreeCode…

Computational Physics · Physics 2024-12-03 Nikolay M. Kuzmin , Danila S. Sirotin , Alexander V. Khoperskov

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 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

We have developed a highly-tuned software library that accelerates the calculation of quadrupole terms in the Barnes-Hut tree code by use of a SIMD instruction set on the x86 architecture, Advanced Vector eXtensions 2 (AVX2). Our code is…

Instrumentation and Methods for Astrophysics · Physics 2019-02-13 Tetsushi Kodama , Tomoaki Ishiyama

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

Current trends in the computer graphics community propose leveraging the massive parallel computational power of GPUs to accelerate physically based simulations. Collision detection and solving is a fundamental part of this process. It is…

Graphics · Computer Science 2021-10-06 Hugo Bertiche , Meysam Madadi , Sergio Escalera

We present performance measurements of direct gravitational N -body simulation on the grid, with and without specialized (GRAPE-6) hardware. Our inter-continental virtual organization consists of three sites, one in Tokyo, one in…

Astrophysics · Physics 2008-11-26 Derek Groen , Simon Portegies Zwart , Steve McMillan , Jun Makino

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

Direct-summation N-body algorithms compute the gravitational interaction between stars in an exact way and have a computational complexity of O(N^2). Performance can be greatly enhanced via the use of special-purpose accelerator boards like…

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

Hybrid computational architectures based on the joint power of Central Processing Units and Graphic Processing Units (GPUs) are becoming popular and powerful hardware tools for a wide range of simulations in biology, chemistry, engineering,…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Roberto Capuzzo-Dolcetta , Mario Spera

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 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 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

This paper presents a novel approach for accelerating n-body simulations by integrating a physics-informed graph neural networks (GNN) with traditional numerical methods. Our method implements a leapfrog-based simulation engine to generate…

Machine Learning · Computer Science 2025-04-03 Víctor Ramos-Osuna , Alberto Díaz-Álvarez , Raúl Lara-Cabrera

In this paper, we describe the architecture and performance of the GRAPE-6 system, a massively-parallel special-purpose computer for astrophysical $N$-body simulations. GRAPE-6 is the successor of GRAPE-4, which was completed in 1995 and…

Astrophysics · Physics 2015-06-24 Junichiro Makino , Toshiyuki Fukushige , Masaki Koga , Ken Namura

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

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
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