Journal article
Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
SIAM journal on scientific computing, Vol.32(2), pp.477-497
01/2010
DOI: 10.1137/090767340
Abstract
The radiative transfer equation (RTE) occurs in a wide variety of applications. In this paper, we study discrete-ordinate discontinuous Galerkin methods for solving the RTE. The numerical methods are formed in two steps. In the first step, the discrete ordinate technique is applied to discretize the integral operator for the angular variable, resulting in a semidiscrete hyperbolic system. In the second step, the spatial discontinuous Galerkin method is applied to discretize the semidiscrete system. A stability and error analysis is performed on the numerical methods. Some numerical examples are included to demonstrate the convergence behavior of the methods.
Details
- Title: Subtitle
- Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
- Creators
- Weimin HanJianguo HuangJoseph A Eichholz
- Resource Type
- Journal article
- Publication Details
- SIAM journal on scientific computing, Vol.32(2), pp.477-497
- DOI
- 10.1137/090767340
- ISSN
- 1064-8275
- eISSN
- 1095-7197
- Copyright
- © 2010 Society for Industrial and Applied Mathematics
- Language
- English
- Date published
- 01/2010
- Academic Unit
- Mathematics
- Record Identifier
- 9983985808002771
Metrics
20 Record Views