Multiscale Gaussian Random Fields and Their Application to Cosmological Simulations
@article{Bertschinger2001MultiscaleGR, title={Multiscale Gaussian Random Fields and Their Application to Cosmological Simulations}, author={Edmund Bertschinger}, journal={The Astrophysical Journal Supplement Series}, year={2001}, volume={137}, pages={1 - 20} }
This paper describes the generation of Gaussian random fields with multiple levels of resolution. We present the theory of adaptive mesh refinement of Gaussian random fields followed by the implementation and testing of a computer code package performing this refinement called "GRAFIC2." This package is available to the computational cosmology community at http://arcturus.mit.edu/grafic/ or by e-mail from the author.
209 Citations
Initial Conditions For Large Cosmological Simulations
- Physics
- 2008
This technical paper describes a software package that was designed to produce initial conditions for large cosmological simulations in the context of the Horizon collaboration. These tools…
On fast generation of cosmological random fields
- Physics
- 2014
The statistical translation invariance of cosmological random fields is broken by a finite survey boundary, correlating the observable Fourier modes. Standard methods for generating Gaussian fields…
Structure, Kinematics and Evolution of Elliptical Galaxies from Hydrodynamical Simulations
- Physics
- 2009
Introduction This work presents an original approach to the study of the formation and evolution of elliptical galaxies in a cosmological context.
The first section of this introduction is concerned…
Initial Conditions to Cosmological N-Body Simulations, or, How to Run an Ensemble of Simulations
- Physics
- 2005
The conventional method of generating initial conditions for cosmological N-body simulations introduces a significant error in the real-space statistical properties of the particles. More…
Resolution convergence in cosmological hydrodynamical simulations using adaptive mesh refinement
- Physics
- 2018
We have explored the evolution of gas distributions from cosmological simulations carried out using the RAMSES adaptive mesh refinement (AMR) code, to explore the effects of resolution on…
Numerical investigation of lens models with substructures using the perturbative method
- Physics
- 2008
We present a statistical study of the effects induced by substructures on the deflection potential of dark matter haloes in the strong lensing regime. This investigation is based on the pertubative…
Efficient Simulation of Stationary Multivariate Gaussian Random Fields with Given Cross-Covariance
- Computer Science
- 2016
A new approach to simulate any stationary multivariate Gaussian random field whose cross-covariances are predefined continuous and integrable functions, developed to support simulation algorithms for mineral microstructures in geoscience.
Density field in extended Lagrangian perturbation theory
- Physics
- 2004
We analyze the performance of a perturbation theory for nonlinear cosmological dynamics, based on the Lagrangian description of hydrodynamics. In our previous paper, we solved the hydrodynamic…
Setting the stage: structures from Gaussian random fields
- Physics
- 2021
We study structure formation in a set of cosmological simulations to uncover the scales in the initial density field that gave rise to the formation of present-day structures. Our simulations share a…
Transients from initial conditions in cosmological simulations
- Physics
- 2006
We study the impact of setting initial conditions in numerical simulations using the standard procedure based on the Zel'dovich approximation (ZA). As it is well known from the perturbation theory,…
References
SHOWING 1-10 OF 11 REFERENCES
Constrained realizations of Gaussian fields : a simple algorithm
- Computer Science
- 1991
A straightforward method for the construction of constrained realizations of Gaussian fields is presented, based on a simple construction of this residual field, which is then added to the analytically calculated mean field.
Generating Cosmological Gaussian Random Fields
- Physics
- 1997
We present a generic algorithm for generating Gaussian random initial conditions for cosmological simulations on periodic rectangular lattices. We show that imposing periodic boundary conditions on…
SIMULATIONS OF STRUCTURE FORMATION IN THE UNIVERSE
- Physics
- 1998
Cosmic structure has formed as a result of gravitational amplification of primordial density fluctuations together with the action of other physical processes (adiabatic gas dynamics, radiative…
Density Profiles and Substructure of Dark Matter Halos: Converging Results at Ultra-High Numerical Resolution
- Physics
- 2000
Can dissipationless N-body simulations be used to reliably determine the structural and substructure properties of dark matter halos? A large simulation of a galaxy cluster in a cold dark matter…
Generation of Correlated and Constrained Gaussian Stochastic Processes for N-Body Simulations
- Computer Science
- 1996
A novel method of generating initial conditions for cosmolo gical simulations based on the filtering of white noise and it is shown that instances of constrained GSPs may be obtained from instances of unconstrained processes by another simple filtering proces.
Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
- Physics
- 1995
This paper presents a systematic treatment of the linear theory of scalar gravitational perturbations in the synchronous gauge and the conformal Newtonian (or longitudinal) gauge. It differs from…
On the Origin of Cusps in Dark Matter Halos
- Physics
- 1997
Observed cusps with density profiles ρ ∝ r-1 or shallower in the central regions of galaxies cannot be reproduced in the standard cold dark matter picture of hierarchical clustering. Previous claims…
The Formation and Fragmentation of Primordial Molecular Clouds
- Physics
- 1999
Many questions in physical cosmology regarding the thermal history of the intergalactic medium, chemical enrichment, reionization, etc., are thought to be intimately related to the nature and…
A Line of sight integration approach to cosmic microwave background anisotropies
- Physics
- 1996
We present a new method for calculating linear cosmic microwave background (CMB) anisotropy spectra based on integration over sources along the photon past light cone. In this approach the…