Iterative Implicit Monte Carlo. Issue 1 (23rd February 2016)

• Record Type: Journal Article
• Authors: Gentile, N. A.; Yee, Ben C.
• Is Part Of: Journal of computational and theoretical transport. Volume 45:Issue 1/2(2016)
• Page Start: 71
• Page End: 98
• Publication Date: 2016-02-23
• Subjects: Monte Carlo methods -- thermal radiation transport; Transport theory -- Periodicals; Statistical physics -- Periodicals; Statistical physics; Transport theory; Periodicals; 530.138
• DOI: 10.1080/23324309.2015.1012681
• Languages: English
• ISSNs: 2332-4309

Abstract

ABSTRACT: We describe a new Monte Carlo thermal radiation transport method that is fully implicit in the value of matter temperature used to calculate thermal emission. This method involves iterating on the matter temperature until convergence at the end of the time-step value of the matter temperature is obtained. Because the method is fully implicit, it eliminates the violations of the maximum principle that can occur in Implicit Monte Carlo (IMC) simulations on the problems on which we have tested it. The method has the drawback that it is considerably more expensive than IMC for simulations with cold opaque regions. We discuss the reasons for this, and discuss some ways that the number of iterations may be reduced.