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21 July 2024 An applied study of the radiative diffusion equation based on a parallel scheme
Rong Yang, Shuanggui Li
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Proceedings Volume 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024); 132190G (2024) https://doi.org/10.1117/12.3036940
Event: 4th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2024), 2024, Kaifeng, China
Abstract
In this paper, a new parallel discretization scheme is proposed and applied to the radiation diffusion equation. The radiation diffusion equation is solved by differential operator splitting method, and the nonlinear diffusion equation is solved in the splitting step. The diffusion solution is predicted by a non-overlapping parallel discrete scheme, then a new conservationtype parallel scheme is used in the correction step. Typical numerical examples test the applicability of the algorithm, demonstrating good accuracy, stability and computational efficiency.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
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Rong Yang and Shuanggui Li "An applied study of the radiative diffusion equation based on a parallel scheme", Proc. SPIE 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024), 132190G (21 July 2024); https://doi.org/10.1117/12.3036940
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KEYWORDS
Diffusion
Computing systems
Numerical simulations
Boundary conditions
Electron transport
Iterative methods
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