Journal article
Energy dependent radiative transfer equation and energy discretization
Journal of computational and applied mathematics, Vol.323, pp.147-158
10/15/2017
DOI: 10.1016/j.cam.2017.04.006
Abstract
The radiative transfer equation (RTE) arises in a wide variety of applications. In certain situations, the energy dependence is not negligible. In a series of two papers, we study the energy dependent RTE. In this first paper of the series, we focus on the well-posedness analysis and energy discretization. We use a mixed formulation so that the analysis covers both cases of non-vanishing absorption and vanishing absorption. We introduce a natural energy discretization scheme and derive an optimal order error estimate for the scheme. Angular discretization, spatial discretization and fully discrete schemes, as well as numerical simulation results, are the topics of the sequel.
Details
- Title: Subtitle
- Energy dependent radiative transfer equation and energy discretization
- Creators
- Kenneth Czuprynski - University of IowaWeimin Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.323, pp.147-158
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cam.2017.04.006
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Grant note
- DOI: 10.13039/100000001, name: National Science Foundation, award: DMS-1521684
- Language
- English
- Date published
- 10/15/2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984240872602771
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