Nonlinear Weighted Flux Methods for Solving Multidimensional Transport Problems

Nonlinear Weighted Flux Methods for Solving Multidimensional Transport Problems

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We develop the NWF methods for the 1D slab geometry transport equation. The methods are derived by integrating the transport equation over -1 a‰c mu a‰c 0 and 0 a‰c mu a‰c 1 with weight 1 + beta | mu |alpha, where alpha a‰y 0. The asymptotic diffusion limit analysis enabled us to determine a particular method of this family the solution of which satisfies an accurate approximation of the diffusion limit. Note that none of the alpha-weighted nonlinear (alpha-WN) methods possess this combination of properties. The convergence properties are similar to that of the diffusion-synthetic acceleration (DSA), quasidiffusion (QD), and DSA-like alpha-WN methods.After graduating from high school he attended Kansas State University in the Mechanical and Nuclear Engineering department. Influential nuclear engineering professors during his time at KSU were G.G. Simons, J.K. Shultis, N.D. Eckhoff, andanbsp;...


Title:Nonlinear Weighted Flux Methods for Solving Multidimensional Transport Problems
Author:
Publisher:ProQuest - 2008
ISBN-13:

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