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Mathematical Analysis of the Coupled Ionization and Thermal Equations
Stockholm University, Faculty of Science, Department of Astronomy.
Stockholm University, Faculty of Science, Department of Astronomy.
(English)In: Computational Astrophysics and Cosmology, ISSN 2197-7909Article in journal (Refereed) Submitted
National Category
Astronomy, Astrophysics and Cosmology
Research subject
Astronomy
Identifiers
URN: urn:nbn:se:su:diva-130438OAI: oai:DiVA.org:su-130438DiVA: diva2:930328
Available from: 2016-05-23 Created: 2016-05-23 Last updated: 2016-06-01Bibliographically approved
In thesis
1. Heating the Early Universe: Numerical Methods and Their Analysis
Open this publication in new window or tab >>Heating the Early Universe: Numerical Methods and Their Analysis
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

During the epoch when the first collapsed structures formed (6<z<50) our Universe went through an extended period of changes. Some of the radiation from the first stars and accreting black holes in those structures escaped and changed the state of the Intergalactic Medium (IGM). The era of this global phase change in which the state of the IGM was transformed from cold and neutral to warm and ionized, is called the Epoch of Reionization.In this thesis we focus on numerical methods to calculate the effects of this escaping radiation. We start by considering the performance of the cosmological radiative transfer code C2-Ray. We find that although this code efficiently and accurately solves for the changes in the ionized fractions, it can yield inaccurate results for the temperature changes. We introduce two new elements to improve the code. The first element, an adaptive time step algorithm, quickly determines an optimal time step by only considering the computational cells relevant for this determination. The second element, asynchronous evolution, allows different cells to evolve with different time steps. An important constituent of methods to calculate the effects of ionizing radiation is the transport of photons through the computational domain or ``ray-tracing''. We devise a novel ray tracing method called PYRAMID which uses a new geometry - the pyramidal geometry. This geometry shares properties with both the standard Cartesian and spherical geometries. This makes it on the one hand easy to use in conjunction with a Cartesian grid and on the other hand ideally suited to trace radiation from a radially emitting source. A time-dependent photoionization calculation not only requires tracing the path of photons but also solving the coupled set of photoionization and thermal equations. Several different solvers for these equations are in use in cosmological radiative transfer codes. We conduct a detailed and quantitative comparison of four different standard solvers in which we evaluate how their accuracy depends on the choice of the time step. This comparison shows that their performance can be characterized by two simple parameters and that the C2-Ray generally performs best.

Place, publisher, year, edition, pages
Stockholm: Department of Astronomy, Stockholm University, 2016
Keyword
cosmology
National Category
Astronomy, Astrophysics and Cosmology
Research subject
Astronomy
Identifiers
urn:nbn:se:su:diva-130436 (URN)978-91-7649-427-1 (ISBN)
Public defence
2016-09-02, FP41, AlbaNova universitetscentrum, Roslagstullsbacken 33, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 2: Submitted. Paper 3: Submitted.

Available from: 2016-06-09 Created: 2016-05-23 Last updated: 2016-08-23Bibliographically approved

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