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Modern cosmological observations allow us to study in great detail the evolution and history of the large scale structure hierarchy. The fundamental problem of accurate constraints on the cosmological parameters, within a given cosmological…

Astrophysics · Physics 2009-11-13 K. Dolag , S. Borgani , S. Schindler , A. Diaferio , A. M. Bykov

We present implementations of a fourth-order symplectic integrator on graphic processing units for three $N$-body models with long-range interactions of general interest: the Hamiltonian Mean Field, Ring and two-dimensional self-gravitating…

Computational Physics · Physics 2012-12-04 Tarcísio M. Rocha Filho

Understanding the universe is hampered by the elusiveness of its most common constituent, cold dark matter. Almost impossible to observe, dark matter can be studied effectively by means of simulation and there is probably no other research…

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

Space-based observations are beginning to yield detailed information about the stellar kinematics at the very centers of galaxies, within the sphere of gravitational influence of the black hole. The structure and dynamics of these regions…

Astrophysics · Physics 2007-05-23 D. Merritt , F. Cruz , M. Milosavljevic

In a Keplerian system, a large number of bodies orbit a central mass. Accretion disks, protoplanetary disks, asteroid belts, and planetary rings are examples. Simulations of these systems require algorithms that are computationally…

Earth and Planetary Astrophysics · Physics 2023-01-18 P. M. Visser

This paper presents an accurate density computation approach for large dark matter simulations, based on a recently introduced phase-space tessellation technique and designed for massively parallel, heterogeneous cluster architectures. We…

Computational Physics · Physics 2017-08-28 Ralf Kaehler

With the current hybridization of treecodes and FMMs, combined with auto-tuning capabilities on heterogeneous architectures, the flexibility of fast N-body methods has been greatly enhanced. These features are a requirement to developing a…

Numerical Analysis · Computer Science 2012-08-14 Rio Yokota , Lorena A. Barba

Preliminary results are presented about a fully self-consistent N-body simulation of a sample of four massive globular clusters in close interaction within the central region of a galaxy. The N-body representation (with N=1.5x10^6 particles…

Astrophysics of Galaxies · Physics 2009-02-02 R. Capuzzo-Dolcetta , P. Miocchi

We propose a new hybrid topology optimization algorithm based on multigrid approach that combines the parallelization strategy of CPU using OpenMP and heavily multithreading capabilities of modern Graphics Processing Units (GPU). In…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Arya Prakash Padhi , Souvik Chakraborty , Anupam Chakrabarti , Rajib Chowdhury

I begin with a brief history of N-body simulation and visualization and then go on to describe various methods for creating images and animations of modern simulations in cosmology and galactic dynamics. These techniques are incorporated…

Astrophysics · Physics 2008-12-18 John Dubinski

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

Astrophysical direct $N$-body methods have been one of the first production algorithms to be implemented using NVIDIA's CUDA architecture. Now, almost seven years later, the GPU is the most used accelerator device in astronomy for…

Instrumentation and Methods for Astrophysics · Physics 2015-10-15 Jeroen Bédorf , Evghenii Gaburov , Simon Portegies Zwart

Cosmological large scale structure $N$-body simulations are computation-light, memory-heavy problems in supercomputing. The considerable amount of memory is usually dominated by an inefficient way of storing more than sufficient phase space…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-31 Hao-Ran Yu , Ue-Li Pen , Xin Wang

Challenging stellar dynamical problems, such as the study of gravothermal oscillations in star clusters, have in the past initiated the very successful building of GRAPE special purpose computers. It is discussed, that present day tasks…

Astrophysics · Physics 2007-05-23 R. Spurzem , J. Makino , T. Fukushige , G. Lienhart , A. Kugel , R. Maenner , M. Wetzstein , A. Burkert , T. Naab

We provide a definition and explicit expressions for $n$-body Gaussian Process (GP) kernels which can learn any interatomic interaction occurring in a physical system, up to $n$-body contributions, for any value of $n$. The series is…

Computational Physics · Physics 2018-05-30 Aldo Glielmo , Claudio Zeni , Alessandro De Vita

We describe the newly written code GADGET which is suitable both for cosmological simulations of structure formation and for the simulation of interacting galaxies. GADGET evolves self-gravitating collisionless fluids with the traditional…

Astrophysics · Physics 2009-09-25 Volker Springel , Naoki Yoshida , Simon D. M. White

We have developed a gravity solver based on combining the well developed Particle-Mesh (PM) method and TREE methods. It is designed for and has been implemented on parallel computer architectures. The new code can deal with tens of millions…

Astrophysics · Physics 2009-10-22 Guohong Xu

$N$-body simulations study the dynamics of $N$ particles under the influence of mutual long-distant forces such as gravity. In practice, $N$-body codes will violate Newton's third law if they use either an approximate Poisson solver or…

Instrumentation and Methods for Astrophysics · Physics 2018-01-01 Qirong Zhu

We present recent updates and improvements of the graphical processing unit (GPU) N-body code GENGA. Modern state-of-the-art simulations of planet formation require the use of a very high number of particles to accurately resolve planetary…

Earth and Planetary Astrophysics · Physics 2022-06-29 Simon L. Grimm , Joachim G. Stadel , Ramon Brasser , Matthias M. M. Meier , Christoph Mordasini
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