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A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation

Authors :
Qiwei Sheng
Cheng Wang
Weimin Han
Source :
Communications in Computational Physics. 20:1443-1465
Publication Year :
2016
Publisher :
Global Science Press, 2016.

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

ISSN :
19917120 and 18152406
Volume :
20
Database :
OpenAIRE
Journal :
Communications in Computational Physics
Accession number :
edsair.doi.dedup.....3750c27e0ff2350d77374dc4e775112a
Full Text :
https://doi.org/10.4208/cicp.310715.290316a