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One of the computational challenges of cluster formation simulations is resolving individual stars and simulating massive clusters with masses of more than $10^4 M_{\odot}$ without gravitational softening. Combining direct $N$-body code…

Astrophysics of Galaxies · Physics 2021-07-07 Michiko S. Fujii , Takayuki R. Saitoh , Yutaka Hirai , Long Wang

We have recently written a new code to simulate the long term evolution of spherical clusters of stars. It is based on the pioneering Monte Carlo scheme proposed by Henon in the 70's. Our code has been devised in the specific goal to treat…

Astrophysics · Physics 2009-11-07 Marc Freitag , Willy Benz

As an entry for the 1999 Gordon Bell price/performance prize, we report an astrophysical N-body simulation performed with a treecode on GRAPE-5 (Gravity Pipe 5) system, a special-purpose computer for astrophysical N-body simulations. The…

Astrophysics · Physics 2007-05-23 Atsushi Kawai , Toshiyuki Fukushige , Junichiro Makino

The approximate computation of all gravitational forces between $N$ interacting particles via the fast multipole method (FMM) can be made as accurate as direct summation, but requires less than $\mathcal{O}(N)$ operations. FMM groups…

Instrumentation and Methods for Astrophysics · Physics 2014-05-12 Walter Dehnen

The inclusion of convection in stellar evolution models lacks realism, especially near convective-radiative interfaces. Furthermore, the interaction of convection with oscillations prevent us from accurately predicting seismic frequencies,…

Solar and Stellar Astrophysics · Physics 2025-10-31 J. Philidet , K. Belkacem

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

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

We present FlowPM, a Particle-Mesh (PM) cosmological N-body code implemented in Mesh-TensorFlow for GPU-accelerated, distributed, and differentiable simulations. We implement and validate the accuracy of a novel multi-grid scheme based on…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-23 Chirag Modi , Francois Lanusse , Uros Seljak

For the self-consistent description of various plasma sources operated in the low-pressure (nonlocal, kinetic) regime, the Particle-In-Cell simulation approach, combined with the Monte Carlo treatment of collision processes (PIC/MCC), has…

We describe a major update to the public GIZMO code. GIZMO has been used in simulations of cosmology; galaxy and star formation and evolution; black hole accretion and feedback; proto-stellar disk dynamics and planet formation; fluid…

Instrumentation and Methods for Astrophysics · Physics 2017-12-06 Philip F. Hopkins

The numerical study of relativistic magnetohydrodynamics (MHD) plays a crucial role in high-energy astrophysics, but unfortunately is computationally demanding, given the complex physics involved (high Lorentz factor flows, extreme…

High Energy Astrophysical Phenomena · Physics 2024-01-09 Luca Del Zanna , Simone Landi , Lorenzo Serafini , Matteo Bugli , Emanuele Papini

Simulations of galaxy formation follow the gravitational and hydrodynamical interactions between gas, stars and dark matter through cosmic time. The huge dynamic range of such calculations severely limits strong scaling behaviour of the…

Instrumentation and Methods for Astrophysics · Physics 2015-08-04 Tom Theuns , Aidan Chalk , Matthieu Schaller , Pedro Gonnet

We present MUSE, a software framework for combining existing computational tools for different astrophysical domains into a single multiphysics, multiscale application. MUSE facilitates the coupling of existing codes written in different…

Astrophysics · Physics 2009-11-13 Simon Portegies Zwart , Steve McMillan , Stefan Harfst , Derek Groen , Michiko Fujii

The aim of this paper is to propose a new numerical model to simulate 2D vesicles interacting with a newtonian fluid. The inextensible membrane is modeled by a chain of circular rigid particles which are maintained in cohesion by using two…

Mathematical Physics · Physics 2012-02-15 Mourad Ismail , Aline Lefebvre-Lepot

First we present a recently developed 3D chemodynamical code for galaxy evolution from the K**2 collaboration. It follows the evolution of all components of a galaxy such as dark matter, stars, molecular clouds and diffuse interstellar…

Astrophysics · Physics 2009-11-10 R. Spurzem , P. Berczik , G. Hensler , Ch. Theis , P. Amaro-Seoane , M. Freitag , A. Just

We present an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid. The main idea is to incorporate Peskin's regularized delta function approach [Acta…

Fluid Dynamics · Physics 2018-09-24 Markus Uhlmann

The diversity of the structures recently observed in protoplanetary discs (PPDs) with the new generation of high-resolution instruments have made more acute the challenging questions that planet-formation models must answer. The challenge…

Earth and Planetary Astrophysics · Physics 2023-08-01 Steven Rendon Restrepo , Pierre Barge , Radim Vavrik

Special high-accuracy direct force summation N-body algorithms and their relevance for the simulation of the dynamical evolution of star clusters and other gravitating N-body systems in astrophysics are presented, explained and compared…

Astrophysics · Physics 2007-05-23 R. Spurzem

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

We present a study of the dynamics of multi-component models of spiral galaxies at various stages of grand merging. Numerical models include a self-consistent account of the dynamics of collisionless stellar subsystems and N-body dark…

Astrophysics of Galaxies · Physics 2025-02-25 Alexander Khoperskov , Sergei Khrapov , Danila Sirotin , Anatoly Zasov