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On large-scales, comparable to the horizon, the observable clustering properties of galaxies are affected by various general relativistic effects. To calculate these effects one needs to consistently solve for the metric, densities and…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-21 Nora Elisa Chisari , Matias Zaldarriaga

We describe the astrophysical and numerical basis of N-body simulations, both of collisional stellar systems (dense star clusters and galactic centres) and collisionless stellar dynamics (galaxies and large-scale structure). We explain and…

Instrumentation and Methods for Astrophysics · Physics 2011-05-26 Walter Dehnen , Justin Read

Dynamical simulations are a fundamental tool for studying the secular evolution of disc galaxies. Even at their maximum resolution, they still follow a limited number of particles and typically resolve scales of the order of a few tens of…

Astrophysics of Galaxies · Physics 2015-06-17 Francesca Iannuzzi , E. Athanassoula

We present results of tests of the evolution of small ``fluid elements'' in cosmological N--body simulations, to examine the validity of their treatment as particles. We find that even very small elements typically collapse along one axis…

Astrophysics · Physics 2009-10-28 B. Kuhlman , A. L. Melott , S. F. Shandarin

The development of numerical N -body simulations have allowed to study formation process and evolution of galaxies at different scales. This paper presents the fundamental concepts of N-body systems applied to the cosmological evolution of…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-12 Jazhiel Chacon , J. Alberto Vazquez , Ruslan Gabbasov

Modelling gravity is a fundamental problem that must be tackled in N-body simulations of stellar systems, and satisfactory solutions require a deep understanding of the dynamical effects of softening. In a previous paper (Romeo 1997), we…

Astrophysics · Physics 2007-05-23 Alessandro B. Romeo

In the last decades cosmological N-body dark matter simulations have enabled ab initio studies of the formation of structure in the Universe. Gravity amplified small density fluctuations generated shortly after the Big Bang, leading to the…

Instrumentation and Methods for Astrophysics · Physics 2016-11-18 Ralf Kaehler , Oliver Hahn , Tom Abel

Gravitational N-body simulations, that is numerical solutions of the equations of motions for N particles interacting gravitationally, are widely used tools in astrophysics, with applications from few body or solar system like systems all…

Astrophysics · Physics 2008-06-25 M. Trenti , P. Hut

The origin of spiral patterns in galaxies is still not fully understood. Similar features also develop readily in N-body simulations of isolated cool, collisionless disks, yet even here the mechanism has yet to be explained. In this series…

Astrophysics of Galaxies · Physics 2015-06-04 J. A. Sellwood

The gravitationally-driven evolution of cold dark matter dominates the formation of structure in the Universe over a wide range of length scales. While the longest scales can be treated by perturbation theory, a fully quantitative…

Astrophysics · Physics 2009-11-10 Katrin Heitmann , Paul M. Ricker , Michael S. Warren , Salman Habib

Understanding the physics of large cosmological surveys down to small (nonlinear) scales will significantly improve our knowledge of the Universe. Large N-body simulations have been built to obtain predictions in the non-linear regime.…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-05 Chang Chen , Yin Li , Francisco Villaescusa-Navarro , Shirley Ho , Anthony Pullen

Two methods generating warped galaxies with N-body simulations are presented. One uses an external potential as a disturber while the other is based on material accretion. The results of both methods are compared. A particular attention is…

Astrophysics · Physics 2007-05-23 Yves Revaz , Daniel Pfenniger

Simulations of dusty plasmas were performed using GRAPE-6, a special-purpose computer designed for gravitational N-body problems. The collective behaviour of dust particles, which are injected into the plasma, was studied by means of…

Plasma Physics · Physics 2007-05-23 Keisuke Yamamoto , Yasunori Mizuno , Hiroshi Inuzuka , Yonggao Cao , Yan Liu , Kenichi Yazawa

We present a new method to add long wavelength power to an evolved $N$-body simulation, making use of the Zel'dovich (1970) approximation to change positions and velocities of particles. We describe the theoretical framework of our…

Astrophysics · Physics 2009-10-28 Giuseppe Tormen , Edmund Bertschinger

Melott has made pioneering studies of the effects of particle discreteness in N-body simulations, a fundamental point that needs careful thought and analysis since all such simulations suffer from numerical noise arising from the use of…

Astrophysics · Physics 2008-05-06 Alessandro B. Romeo , Oscar Agertz , Ben Moore , Joachim Stadel

Galaxy simulations have come a long way from the early days of simple N-body calculations, which considered only gravitational interactions, to the complex, multi-physics models used today. Beginning with initial conditions representative…

Astrophysics of Galaxies · Physics 2025-07-15 Robert Feldmann , Rebekka Bieri

The subjects and key questions faced by computational astrophysics using N-body simulations are discussed in the fields of globular star cluster dynamics, galactic nuclei and cosmological structure formation. After a comparison of the…

Astrophysics · Physics 2007-05-23 Rainer Spurzem

It is logically possible that early two-body relaxation in simulations of cosmological clustering influences the final structure of massive clusters. Convergence studies in which mass and spatial resolution are simultaneously increased,…

Astrophysics · Physics 2009-11-06 James Binney , Alexander Knebe

The relation between the results of cosmological N-body simulations, and the continuum theoretical models they simulate, is currently not understood in a way which allows a quantification of N dependent effects. In this first of a series of…

Astrophysics · Physics 2013-05-29 Michael Joyce , Bruno Marcos

We present gravitational N-body simulations of the secular morphological evolution of disk galaxies induced by density wave modes. In particular, we address the demands collective effects place on the choice of simulation parameters, and…

Astrophysics of Galaxies · Physics 2016-09-16 Xiaolei Zhang