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Creator:: Talbot, Paul W.
Abstract:: The implicit Monte Carlo (IMC) method [16] for radiative transfer, developed in 1971, provides numerical solutions to the tightly-coupled, highly-nonlinear radiative heat transfer equations in many physical situations. Despite its popularity, there are instances of overheating in the solution for particular choices of time steps and spatial grid sizes. To...
Resource Type:: Masters Thesis
Full Text:: Equations AN ABSTRACT OF THE THESIS OF Paul W. Talbot for the degree of Master of Science in Nuclear

Creator:: Cleveland, Mathew A.
Abstract:: The intent of this work is to extend Implicit Monte Carlo Diffusion (IMD)[Gen. 2001] to account for frequency dependence and to incorporate the difference formulation[Szo. 2005] as a source manipulation variance reduction technique. This work shows the derivation of the probabilities and the associated proofs which govern the frequency dependent...
Resource Type:: Masters Thesis
Full Text:: Cummings developed an effective scattering scheme that approximates the absorption and reemission of the

Creator:: Long, Alex R.
Abstract:: For over 30 years, the Implicit Monte Carlo (IMC) method has been used to solve challenging problems in thermal radiative transfer. These problems are typically optically thick and di ffusive, as a consequence of the high degree of "pseudo-scattering" introduced to model the absorption and reemission of photons from a...
Resource Type:: Masters Thesis
Full Text:: difference codes that were in use at the time. In 1971, Fleck and Cummings [6] improved upon Fleck’s

Creator:: Lam, Adam Q.
Abstract:: In this dissertation, we derive and implement a new transport-diffusion hybrid algorithm for solving thermal radiative transfer (TRT) problems. Using the method of nonlinear elimination (NLEM), the TRT system of equations can be written in terms of a transport equation with the absence of scattering and a diffusion equation. The...
Resource Type:: Dissertation
Full Text:: couples 9 both equations. 2.2 The Implicit Monte Carlo (IMC) Method Fleck and Cummings developed an

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