Journal article
A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation
Communications in computational physics, Vol.20(5), pp.1443-1465
11/01/2016
DOI: 10.4208/cicp.310715.290316a
Abstract
The radiative transfer equation (RTE) arises in many different areas of science and engineering. In this paper, we propose and investigate a discrete-ordinate discontinuous-streamline diffusion (DODSD) method for solving the RTE, which is a combination of the discrete-ordinate technique and the discontinuous-streamline diffusion method. Different from the discrete-ordinate discontinuous Galerkin (DODG) method for the RTE, an artificial diffusion parameter is added to the test functions in the spatial discretization. Stability and error estimates in certain norms are proved. Numerical results show that the proposed method can lead to a more accurate approximation in comparison with the DODG method.
Details
- Title: Subtitle
- A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation
- Creators
- Cheng Wang - Tongji UniversityQiwei Sheng - California State University SystemWeimin Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Communications in computational physics, Vol.20(5), pp.1443-1465
- DOI
- 10.4208/cicp.310715.290316a
- ISSN
- 1815-2406
- eISSN
- 1991-7120
- Publisher
- GLOBAL SCIENCE PRESS
- Number of pages
- 23
- Grant note
- DMS-1521684 / NSF 11101311 / National Natural Science Foundation of China
- Language
- English
- Date published
- 11/01/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984240774902771
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