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We present direct astrophysical N-body simulations with up to a few million bodies using our parallel MPI/CUDA code on large GPU clusters in China, Ukraine and Germany, with different kinds of GPU hardware. These clusters are directly…

Instrumentation and Methods for Astrophysics · Physics 2013-12-09 P. Berczik , R. Spurzem , L. Wang , S. Zhong , O. Veles , I. Zinchenko , S. Huang , M. Tsai , G. Kennedy , S. Li , L. Naso , C. Li

The gravitational many-body problem is a problem concerning the movement of bodies, which are interacting through gravity. However, solving the gravitational many-body problem with a CPU takes a lot of time due to O(N^2) computational…

Instrumentation and Methods for Astrophysics · Physics 2009-04-24 Kazuki Fujiwara , Naohito Nakasato

We present the multi-GPU realization of the StePS (Stereographically Projected Cosmological Simulations) algorithm with MPI-OpenMP-CUDA hybrid parallelization and nearly ideal scale-out to multiple compute nodes. Our new zoom-in…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-22 Gábor Rácz , István Szapudi , László Dobos , István Csabai , Alexander S. Szalay

We report on improvements made over the past two decades to our adaptive treecode N-body method (HOT). A mathematical and computational approach to the cosmological N-body problem is described, with performance and scalability measured up…

Instrumentation and Methods for Astrophysics · Physics 2013-10-18 Michael S. Warren

$N$-body simulation serves as a critical method for modeling cosmic evolution and poses a significant challenge in high-performance computing. We present CUBE2, an open-source cosmological $N$-body code emphasizing memory efficiency,…

Instrumentation and Methods for Astrophysics · Physics 2026-03-05 Hao-Ran Yu , Bing-Hang Chen , Kun Xu , Ming-Jie Sheng , Jiaxin Han , Yipeng Jing , Huahua Cui

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

Several methods for density matrix propagation in distributed computing environments, such as clusters and graphics processing units, are proposed and evaluated. It is demonstrated that the large communication overhead associated with each…

Chemical Physics · Physics 2014-07-16 Luke J. Edwards , Ilya Kuprov

This paper focuses on the parallel implementation of a direct $N$-body method~(particle-particle algorithm) and the application of multiple GPUs for galactic dynamics simulations. Application of a hybrid OpenMP-CUDA technology is considered…

Computational Physics · Physics 2018-03-06 S. S. Khrapov , S. A. Khoperskov , A. V. Khoperskov

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

We report on resent N-body simulations of galaxy formation performed on the GRAPE-4 (GRAvity PipE) system, a special-purpose computer for astrophysical N-body simulations. We review the astrophysical motivation, the algorithm, the actual…

Astrophysics · Physics 2008-02-03 Toshiyuki Fukushige , Junichiro Makino

We present $\texttt{Abacus}$, a fast and accurate cosmological $N$-body code based on a new method for calculating the gravitational potential from a static multipole mesh. The method analytically separates the near- and far-field forces,…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-25 Lehman H. Garrison , Daniel J. Eisenstein , Douglas Ferrer , Nina A. Maksimova , Philip A. Pinto

In this study, an $N$-body simulation code was developed for self-gravitating systems with a limited first-order post-Newtonian approximation. The code was applied to a special case in which the system consists of one massive object and…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-27 Takayuki Tatekawa

Astrophysical Challenges which demand the solution of the one million (or more) gravitating body problem are briefly discussed for the fields of cosmology, galactic nuclei and globular star clusters. Results from the classical three-body…

Astrophysics · Physics 2016-11-23 R. Spurzem , A. Kugel

We report on the successful completion of a 2 trillion particle cosmological simulation to z=0 run on the Piz Daint supercomputer (CSCS, Switzerland), using 4000+ GPU nodes for a little less than 80h of wall-clock time or 350,000 node…

Instrumentation and Methods for Astrophysics · Physics 2016-09-29 Douglas Potter , Joachim Stadel , Romain Teyssier

High-performance graphical processing units (GPU) are used for the repeated parallelised propagation of non-linear partial differential equations on large spatio-temporal grids. The main challenge results as a combination of the requirement…

Real-time simulation of a large-scale biologically representative spiking neural network is presented, through the use of a heterogeneous parallelisation scheme and SpiNNaker neuromorphic hardware. A published cortical microcircuit model is…

Emerging Technologies · Computer Science 2021-04-28 Oliver Rhodes , Luca Peres , Andrew G. D. Rowley , Andrew Gait , Luis A. Plana , Christian Brenninkmeijer , Steve B. Furber

We digitally simulate quantum many-body dynamics in emergent curved backgrounds using 80 superconducting qubits on IBM Heron processors. By engineering spatially varying couplings in the spin-$\frac12$ XXZ chain, consistent with the…

We profile the impact of computation and inter-processor communication on the energy consumption and on the scaling of cortical simulations approaching the real-time regime on distributed computing platforms. Also, the speed and energy…

The use of parallel computers and increasingly sophisticated software has allowed us to perform a large suite of N-body simulations using from $10^8$,to $10^9$ particles. We will report on our recent convergence tests of the halo mass…

Astrophysics · Physics 2007-05-23 Luis Teodoro , Michael S. Warren

The gravitational N-body simulation in the Solar system was performed using different parallel approaches with the comparisons in the computational times and speed-up values being carried out under different model sizes and the number of…

Earth and Planetary Astrophysics · Physics 2022-01-03 Tailin Zhu