Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638061 | Journal of Computational and Applied Mathematics | 2016 | 17 Pages |
Abstract
This paper presents a fast and optimal multigrid solver for the radiative transfer equation. A discrete-ordinate discontinuous-streamline diffusion method is employed to discretize the radiative transfer equation. Instead of utilizing conventional multigrid methods for spatial variables only, a spatial cascadic multigrid method and a full cascadic multigrid method are developed to achieve rapid convergence in iterative calculation. Preliminary analysis is also conducted, suggesting the optimal convergence rate. Numerical tests show a significant reduction of the computational time compared to conventional iterative methods for the radiative transfer equation.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Qiwei Sheng, Cheng Wang, Weimin Han,