Parareal Thermal Radiation Diffusion
Abstract
This article describes a parallel-in-time implementation of a thermal radiation diffusion code using the Parareal methodology. This work builds on previous Parareal diffusion research by demonstrating that the Parareal method can also work well for diffusion problems with non-linear coupling, as thermal radiation does to material energy. Various 1-D Gray and multi-group test problems are shown to demonstrate the efficacy of the Parareal technique. Convergence studies show the relative speed-ups over serial solutions that can be obtained for various degrees of parallelism and choices of coarse and fine solvers. Increasing theoretical algorithmic speed-ups of three times or more were observed on all test problems with greater parallelism and relatively cheaper coarse solvers, indicating favorable scaling of the method to larger problems.
Fields of Study & Subjects
Radiative Heat Transfer Studies
Thermal Radiation and Cooling Technologies
Thermoelastic and Magnetoelastic Phenomena
Publication details
- Journal / source
- Journal of Computational and Theoretical Transport
- Publisher
- Informa UK Limited
- Volume
- 55
- Issue
- 4
- Pages
- 335–352
- Publication date
- 5 May 2026
- Language
- EN