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(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

Large n-body simulations with fully interacting objects represent the next frontier in computational planetary formation studies. In this paper, we present Mercury-Opal, the GPU-accelerated version of the n-body planet formation code…

Earth and Planetary Astrophysics · Physics 2026-01-28 Paolo Simonetti , Diego Turrini , Romolo Politi , Scigé J. Liu , Sergio Fonte , Danae Polychroni , Stavro Lambrov Ivanovski

We present an algorithm to simulate the many-body depletion interaction between anisotropic colloids in an implicit way, integrating out the degrees of freedom of the depletants, which we treat as an ideal gas. Because the depletant…

Soft Condensed Matter · Physics 2015-08-31 Jens Glaser , Andrew S. Karas , Sharon C. Glotzer

Numerical solution of reaction-diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming, any ideas and strategies aiming at the reduction of CPU…

Computational Physics · Physics 2011-08-17 Ferenc Molnar , Ferenc Izsak , Robert Meszaros , Istvan Lagzi

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

A systolic algorithm rhythmically computes and passes data through a network of processors. We investigate the performance of systolic algorithms for implementing the gravitational N-body problem on distributed-memory computers. Systolic…

Astrophysics · Physics 2009-11-07 E. N. Dorband , Marc Hemsendorf , David Merritt

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

In the last decade, thanks to the development of sophisticated numerical codes, major breakthroughs have been achieved in our understanding of the formation of asteroid families by catastrophic disruption of large parent bodies. In this…

Earth and Planetary Astrophysics · Physics 2016-08-31 Patrick Michel , Derek C. Richardson , Daniel D. Durda , Martin Jutzi , Erik Asphaug

With the advent of high-performance computing techniques, the data for analysis has grown significantly. Here, graphic processing unit (GPU) based program kernels are discussed to exploit parallelism in the analysis codes specific to…

Computational Physics · Physics 2018-11-07 Gourav Shrivastav , Manish Agarwal

We present a new adaptive parallel algorithm for the challenging problem of multi-dimensional numerical integration on massively parallel architectures. Adaptive algorithms have demonstrated the best performance, but efficient many-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-24 Ioannis Sakiotis , Kamesh Arumugam , Marc Paterno , Desh Ranjan , Balša Terzić , Mohammad Zubair

Star clusters form via clustering star formation inside molecular clouds. In order to understand the dynamical evolution of star clusters in their early phase, in which star clusters are still embedded in their surrounding gas, we need an…

Astrophysics of Galaxies · Physics 2021-05-26 M. S. Fujii , T. R. Saitoh , L. Wang , Y. Hirai

In this study, the gravitational octree code originally optimized for the Fermi, Kepler, and Maxwell GPU architectures is adapted to the Volta architecture. The Volta architecture introduces independent thread scheduling requiring either…

Mathematical Software · Computer Science 2018-11-08 Yohei Miki

Globular cluster stellar streams probe galaxy-formation processes and can potentially reveal the distribution of dark matter in galaxies. In many theoretical studies, streams are modeled with particle-spray or direct N-body codes. But…

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 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

This paper presents a novel particle method to compute strongly coupled incompressible fluid and rigid bodies. The method adopts a velocity-based formulation and utilizes the linear complementarity problem for the incompressibility…

Fluid Dynamics · Physics 2023-03-01 Shugo Miyamoto , Seiichi Koshizuka

The integration of the equations of motion of N interacting particles, represents a classical problem in many branches of physics and chemistry. The direct N-body problem is at the heart of simulations studying Coulomb Crystals. We present…

Computational Physics · Physics 2021-06-22 Jofre Pedregosa-Gutierrez , Jim Dempsey

Cosmological N-Body simulations are used for a variety of applications. Indeed progress in the study of large scale structures and galaxy formation would have been very limited without this tool. For nearly twenty years the limitations…

Astrophysics · Physics 2010-05-07 J. S. Bagla , Nishikanta Khandai

For problems in astrophysics, planetary science and beyond, numerical simulations are often limited to simulating fewer particles than in the real system. To model collisions, the simulated particles (aka superparticles) need to be inflated…

Earth and Planetary Astrophysics · Physics 2020-06-03 David Nesvorny , Andrew N. Youdin , Raphael Marschall , Derek C. Richardson

Stellar systems are broadly divided into collisional and non-collisional. The latter are large-N systems with long relaxation timescales and can be simulated disregarding two-body interactions, while either computationally expensive direct…

Astrophysics of Galaxies · Physics 2021-05-05 Pierfrancesco Di Cintio , Mario Pasquato , Hyunwoo Kim , Suk-Jin Yoon
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