Abstract
In this article, a new fully implicit Monte Carlo method for solving the nonlinear radiative transfer equations is presented. This scheme is both temperature and frequency implicit, and the particle tracking is much faster than in the standard Fleck method. This tracking is used to build an energy balance matrix. This leads to an original matrix formulation of the energy balance equation, where the entries of the matrix are computed by a Monte Carlo method. This matrix formulation of the energy balance equation allows this method to be easily coupled with the Rosseland diffusion equation, which is generally needed in optically thick media, via domain decomposition. This coupling scheme between the two methods is also fully implicit. Numerical tests are shown to prove the efficiency of the matrix Monte Carlo method; the results are better than those obtained by Fleck’s method in that there are smaller computation times and there is a better robustness of the time discretization.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: SIAM Journal on Scientific and Statistical Computing
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
