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Graphics Processing Units (GPUs) can speed up the numerical solution of various problems in astrophysics including the dynamical evolution of stellar systems; the performance gain can be more than a factor 100 compared to using a Central…

Instrumentation and Methods for Astrophysics · Physics 2015-01-28 Mario Spera

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 describe a modified version of the NBODY6 code for simulating star clusters which greatly improves computational efficiency while sacrificing little in the way of accuracy. The distant force calculator is replaced by a GPU-enabled…

Instrumentation and Methods for Astrophysics · Physics 2021-11-22 Anthony D. Arnold , Holger Baumgardt , Long Wang

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

Simulating the evolution of the gravitational N-body problem becomes extremely computationally expensive as N increases since the problem complexity scales quadratically with the number of bodies. We study the use of Artificial Neural…

Earth and Planetary Astrophysics · Physics 2023-11-01 Veronica Saz Ulibarrena , Philipp Horn , Simon Portegies Zwart , Elena Sellentin , Barry Koren , Maxwell X. Cai

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

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

Parallel implementation features of self-gravitating gas dynamics modeling on multiple GPUs are considered applying the GPU-Direct technology. The parallel algorithm for solving of the self-gravitating gas dynamics problem based on hybrid…

Astrophysics of Galaxies · Physics 2018-07-25 Sergey Khrapov , Alexander Khoperskov

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 an open source GPU implementation of a hybrid symplectic N-body integrator, GENGA (Gravitational ENcounters with Gpu Acceleration), designed to integrate planet and planetesimal dynamics in the late stage of planet formation and…

Earth and Planetary Astrophysics · Physics 2014-11-06 Simon L. Grimm , Joachim G. Stadel

Direct gravitational simulations of n-body systems have a time complexity O(n^2), which gets computationally expensive as the number of bodies increases. Distributing this workload to multiple cores significantly speeds up the computation…

Earth and Planetary Astrophysics · Physics 2022-08-30 Dhananjay Saikumar

This paper describes a fourth-order integration algorithm for the gravitational N-body problem based on discrete Lagrangian mechanics. When used with shared timesteps, the algorithm is momentum conserving and symplectic. We generalize the…

Astrophysics · Physics 2010-11-11 Will M. Farr , Edmund Bertschinger

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 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 a new symplectic integrator designed for collisional gravitational $N$-body problems which makes use of Kepler solvers. The integrator is also reversible and conserves 9 integrals of motion of the $N$-body problem to machine…

Instrumentation and Methods for Astrophysics · Physics 2017-03-03 David M. Hernandez , Edmund Bertschinger

The N-body problem is a classic problem involving a system of N discrete bodies mutually interacting in a dynamical system. At any moment in time there are N*(N - 1)/2 such interactions occurring. This scaling as N^2 leads to computational…

Computational Engineering, Finance, and Science · Computer Science 2022-03-18 Alexander Brandt

In this short review we present the developments over the last 5 decades that have led to the use of Graphics Processing Units (GPUs) for astrophysical simulations. Since the introduction of NVIDIA's Compute Unified Device Architecture…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Jeroen Bédorf , Simon Portegies Zwart

We introduce GRiD: a GPU-accelerated library for computing rigid body dynamics with analytical gradients. GRiD was designed to accelerate the nonlinear trajectory optimization subproblem used in state-of-the-art robotic planning, control,…

Robotics · Computer Science 2023-03-03 Brian Plancher , Sabrina M. Neuman , Radhika Ghosal , Scott Kuindersma , Vijay Janapa Reddi

The paper presents a numerical implementation of the gravitational N-body problem with contact interactions between non-spherically shaped bodies. The work builds up on a previous implementation of the code and extends its capabilities. The…

Earth and Planetary Astrophysics · Physics 2019-12-11 F. Ferrari , M. Lavagna , E. Blazquez

This paper describes the main features of a pioneering unsteady solver for simulating ideal two-fluid plasmas on unstructured grids, taking profit of GPGPU (General-purpose computing on graphics processing units). The code, which has been…