Year: 2016
Communications in Computational Physics, Vol. 20 (2016), Iss. 5 : pp. 1443–1465
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.310715.290316a
Communications in Computational Physics, Vol. 20 (2016), Iss. 5 : pp. 1443–1465
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
-
A Spherical Harmonic Discontinuous Galerkin Method for Radiative Transfer Equations with Vacuum Boundary Conditions
Sheng, Qiwei | Wang, ChengJournal of Scientific Computing, Vol. 88 (2021), Iss. 1
https://doi.org/10.1007/s10915-021-01530-y [Citations: 1] -
Operator-splitting finite element method for solving the radiative transfer equation
Ganesan, Sashikumaar | Singh, Maneesh KumarNumerical Algorithms, Vol. (2024), Iss.
https://doi.org/10.1007/s11075-024-01850-8 [Citations: 0] -
A discrete-ordinate weak Galerkin method for radiative transfer equation
Singh, Maneesh Kumar
Applied Numerical Mathematics, Vol. 201 (2024), Iss. P.628
https://doi.org/10.1016/j.apnum.2024.02.009 [Citations: 1] -
Ultrasound modulated bioluminescence tomography with a single optical measurement
Chung, Francis | Yang, Tianyu | Yang, YangInverse Problems, Vol. 37 (2021), Iss. 1 P.015004
https://doi.org/10.1088/1361-6420/abc8aa [Citations: 6] -
On Robustly Convergent and Efficient Iterative Methods for Anisotropic Radiative Transfer
Dölz, Jürgen | Palii, Olena | Schlottbom, MatthiasJournal of Scientific Computing, Vol. 90 (2022), Iss. 3
https://doi.org/10.1007/s10915-021-01757-9 [Citations: 2] -
A cascadic multigrid asymptotic-preserving discrete ordinate discontinuous streamline diffusion method for radiative transfer equations with diffusive scalings
Shao, Wenting | Sheng, Qiwei | Wang, ChengComputers & Mathematics with Applications, Vol. 80 (2020), Iss. 6 P.1650
https://doi.org/10.1016/j.camwa.2020.08.002 [Citations: 5]