Abstract
A modified diffusion synthetic acceleration model is developed to improve the convergence of the second-order radiative transfer equation (SORTE). The model considers the influence of a diffusely reflecting boundary and adopts the P1 diffusion approximation to rectify the scattering source term of the SORTE and the reflecting term of the boundary condition. It can remarkably reduce the computational time in the solution of the SORTE, especially when the participating medium with intensive diffusely reflecting walls is simulated. The accuracy of the model is verified by comparing the results with those of the Monte Carlo method and the finite-element method without any accelerative technique. The effects of the emissivity of walls, the optical thickness, and the scattering albedo on the convergence are also investigated. The results indicate that the accuracy of the proposed model is reliable and its accelerative effect is significant for optically thick and scattering-dominated media with intensive diffusely reflecting walls.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
