Multi-dimensional cosmological radiative transfer with a Variable Eddington Tensor formalism

By Nickolay Y. Gnedin, Tom Abel. 2001

211 citations recorded by the source corpus.

Abstract We present a new approach to numerically model continuum radiative transfer based on the Optically Thin Variable Eddington Tensor (OTVET) approximation. Our method insures the exact conservation of the photon number and flux (in the explicit formulation) and automatically switches from the optically thick to the optically thin regime. It scales as N log N with the number of hydrodynamic resolution elements and is independent of the number of sources of ionizing radiation (i.e. works equally fast for an arbitrary source function). We also describe an implementation of the algorithm in a Soften Lagrangian Hydrodynamic code (SLH) and a multi-frequency approach appropriate for hydrogen and helium continuum opacities. We present extensive tests of our method for single and multiple sources in homogeneous and inhomogeneous density distributions, as well as a realistic simulation of cosmological reionization.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/f63b48a7a9230661a6a589d2689ab900ae23735a

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Citations in the corpus

Large Ly α opacity fluctuations and low CMB τ in models of late reionization with large islands of neutral hydrogen extending to z < 5.5 (2018, methodology): “ATON solves the radiative transfer equation by using a moment-based description with the M1 approximation for the Eddington tensor (Gnedin & Abel 2001; Aubert & Teyssier 2008) and self-consistently derives the fraction of ionized hydrogen and the gas temperature on the grid.”
Resolving the Formation of Protogalaxies. II. Central Gravitational Collapse (2007, methodology): “The promising approach of Gnedin & Abel (2001) has recently been implemented and coupled with the AMR hydrodynamic code ART (Gnedin et al. 2008).”
Galaxy formation theory (2010, background): “…these complexities, progress has been made on these issues using a variety of ingenious numerical techniques (Abel et al. 1999; Ciardi et al. 2001; Gnedin and Abel 2001; Ricott et al. 2002; Petkova and Springel 2009; Li et al. 2008; Aubert and Teyssier 2008; Collins et al. 2009; Dolag and…”
Suppression of H2 Cooling in the Ultraviolet Background (2007, unknown): “Advances in cosmological hydrodynamics and its numerical methods (Cen 1992; Zhang et al. 1995; Katz et al. 1996; Abel et al. 1997; Anninos et al. 1997; Bryan & Norman 1998; Gnedin & Abel 2001; Ricotti et al. 2002b, 2002a) allow now detailed investigations of all the relevant physical processes.”
The history of star formation in a lcdm universe (2002, background): “…been made (e.g. Gnedin & Ostriker, 1997; Ciardi et al., 2001, 2002; Sokasian et al., 2001), and the recent progress in developing better algorithmic treatments of radiative transfer (e.g. Gnedin & Abel, 2001; Abel & Wandelt, 2002; Cen, 2002) will soon improve the reliability of these computations.”
Radio Foregrounds for the 21 Centimeter Tomography of the Neutral Intergalactic Medium at High Redshifts (2001, background): “…of the Ðrst ionizing objects in the universe (Gnedin & Ostriker 1997 ; Abel, Norman, & Madau 1999 ; Abel, Bryan, & Norman 2000 ; Gnedin 2000 ; Gnedin & Abel 2001), the epoch at which these objects were formed, their nature, and the timescale over which the transition from the neutral to the…”
The First Cosmic Structures and Their Effects (2004, background): “…of radiative transfer codes based on a variety of approaches and approximations (e.g. Umemura, Nakamoto & Susa 1999; Razoumov & Scott 1999; Abel, Norman & Madau 1999; Gnedin 2000a; Ciardi et al. 2001; Gnedin & Abel 2001; Sokasian, Abel & Hernquist 2001; Cen 2002; Maselli, Ferrara & Ciardi 2003).”
Cosmological radiative transfer codes comparison project – I. The static density field tests (2006, unknown): “The optically thin variable Eddington tensor (OTVET) approximation (Gnedin & Abel 2001) is based on the moment formulation of the RT equation a c ∂Eν ∂t + ∂F i ν ∂xi = −κ̂ν Eν + Sν, a c ∂F jν ∂t + ∂ ∂xi Eνhi jν = −κ̂ν F jν , (1) where Eν and Fjν are the energy density and the flux of radiation,…”
ENVIRONMENTAL DEPENDENCE OF THE KENNICUTT–SCHMIDT RELATION IN GALAXIES (2010, methodology): “Our simulations include 3D radiative transfer (RT) of UV radiation from individual stellar particles formed during the course of the simulation using the OTVET approximation (Gnedin & Abel 2001).”
THE ISOTROPIC DIFFUSION SOURCE APPROXIMATION FOR SUPERNOVA NEUTRINO TRANSPORT (2007, background): “In the stationary-state limit, the determination of the particle fluxes reduces to the solution of a Poisson equation (Gnedin & Abel 2001).”
LOFAR: The LOw-Frequency ARray (2013, background): “Computer simulations suggest that we may expect an evolving complex patch work of neutral (HI) and ionized hydrogen (HII) regions (Gnedin & Abel 2001; Ciardi et al. 2003; Whalen & Norman 2006; Mellema et al. 2006; Zahn et al. 2007; Mesinger & Furlanetto 2007; Thomas et al. 2009; Thomas & Zaroubi…”
Absorption-line systems in simulated galaxies fed by cold streams (2011, methodology): “…coupled to the hydrodynamic calculations, but due to the numerical complexity of this problem, codes that solve the (approximated) RT equation (e.g. Gnedin & Abel 2001; Abel & Wandelt 2002) together with the hydrodynamic equations has been developed and used only recently (e.g. Razoumov et al.…”
The Fate of the First Galaxies. I. Self-consistent Cosmological Simulations with Radiative Transfer (2001, methodology): “The simulations presented in this paper were performed with the softened Lagrangian hydrodynamics particleparticle-particle-mesh (SLH-P3M) code described in detail in Gnedin (1995, 1996), Gnedin & Bertschinger (1996), Gnedin & Ostriker (1997), and Gnedin & Abel (2001).”
Photoevaporation of cosmological minihaloes during reionization (2003, background): “Approximate approaches which incorporate some of the important effects of radiative transport during reionization within the context of cosmological gas dynamics simulation have also been developed (Gnedin 2000a; Gnedin & Abel 2001; Ricotti, Gnedin & Shull 2002a).”
The Fate of the First Galaxies. II. Effects of Radiative Feedback (2001, methodology): “…simulation evolves collisionless DM particles, gas particles, “star-particles” formed using the Schmidt law in resolution elements that sink below the numerical resolution of the code, and radiation, whose transfer is treated self-consistently with the OTVET approximation of Gnedin & Abel (2001).”
Extended Lyman-alpha emission from cold accretion streams (2011, methodology): “To get around this, we invoke the Reduced Speed-of-Light Approximation (RSLA) proposed by Gnedin & Abel (2001) (see also discussion in Aubert & Teyssier 2008): The speed of light is reduced by a factor fc, bringing the RHD timestep closer to the normal Ramses one and making RamsesRT runnable in…”
ramses-rt: radiation hydrodynamics in the cosmological context (2013, methodology): “Gnedin & Abel (2001) and Petkova & Springel (2009) used the optically thin variable Eddington tensor formalism (OTVET), in which the direction of the radiative field is composed on the fly in every point in space from all the radiative sources in the simulation, assuming that the medium between…”
ESCAPE FRACTION OF IONIZING PHOTONS DURING REIONIZATION: EFFECTS DUE TO SUPERNOVA FEEDBACK AND RUNAWAY OB STARS (2014, background): “The speed of light is reduced for the speed-up of the simulations by 0.01 (e.g.Gnedin & Abel 2001).”
Smoothed Particle Hydrodynamics in Astrophysics (2010, methodology): “A refinement of this strategy has been proposed by Petkova & Springel (2009), based on the optically thin variable tensor approximations of Gnedin & Abel (2001).”