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Kanschat, et al. (editors) Numerical Methods in Multidimensional Radiative Transfer
Springer-Verlag Berlin Heidelberg, 2009, 307 pp. - ISBN 978-3-540-85368-8
Traditionally, radiative transfer has been the domain of astrophysicists and climatologists. In nuclear technology one has been dealing with the analogous equations of neutron transport. In recent years, applications of radiative transfer in combustion machine design and in medicine became more and more important. In each discipline various codes have been developed that—although they mostly served their purpose—were not optimal with respect to computing time and memory requirement as well as accuracy. Furthermore, the appropriate analytical basis had hardly been worked out.
Contents
The Radiation Field and its Transfer Equation. Stochastic Properties of the Radiative Transfer Equation. An Approach to Neutrino Radiative Transfer in Supeova Simulations. A Finite Element Method for the Even-Parity Radiative Transfer Equation Using the РN Approximation. Solution of Radiative Transfer Problems with Finite Elements. A General-Purpose Finite Element Method for 3D Radiative Transfer Problems. Radiative Transfer in 4D: The Inclusion of Kinematical Information. A Problem-Orientable Numerical Algorithm for Modeling Multi-Dimensional Radiative MHD Flows in Astrophysics the Hierarchical Solution Scenario. Rapidly-Converging Methods for Solving Multilevel Transfer Problems. Radiative Transfer in NLTE Model Atmospheres. The Solution of the Radiative Transfer Equation in Axial Symmetry. Multidimensional Radiation Hydrodynamics. Probing the Initial Conditions for Star Formation with Monte Carlo Radiative Transfer Simulations. Radiative Transfer Through the Intergalactic Medium. Radiative Transfer with Finite Elements: Application to the Lya Emission of High-Redshift Galaxies. Radiative Transfer Problem in Dusty Galaxies: Ray-Tracing Approach. Shape Reconstruction for an Inverse Radiative Transfer Problem Arising in Medical Imaging.
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