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Title: CMFD and coarse-mesh DSA

Abstract

The Coarse Mesh Finite Difference (CMFD) and Diffusion Synthetic Acceleration (DSA) methods are two widely-used, independently-developed acceleration methods for iteratively solving deterministic particle transport simulations. In this paper we show that these methods are related in the following way: if the standard notion of DSA as a 'fine mesh' method is generalized to that of a coarse mesh method, then the linearized form of CMFD is algebraically equivalent to a coarse mesh form of DSA. Also, we demonstrate theoretically (via Fourier analysis) and computationally that CMFD and coarse mesh DSA have nearly the same convergence properties. (authors)

Authors:
;  [1]
  1. Dept. of Nuclear Engineering and Radiological Sciences, Univ. of Michigan, Ann Arbor, MI 48109-2104 (United States)
Publication Date:
Research Org.:
American Nuclear Society, Inc., 555 N. Kensington Avenue, La Grange Park, Illinois 60526 (United States)
OSTI Identifier:
22105622
Resource Type:
Conference
Resource Relation:
Conference: PHYSOR 2012: Conference on Advances in Reactor Physics - Linking Research, Industry, and Education, Knoxville, TN (United States), 15-20 Apr 2012; Other Information: Country of input: France; 14 refs.
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; CONVERGENCE; DIFFUSION; FINITE DIFFERENCE METHOD; FOURIER ANALYSIS; PARTICLES; TRANSPORT THEORY

Citation Formats

Larsen, E. W., and Kelley, B. W. CMFD and coarse-mesh DSA. United States: N. p., 2012. Web.
Larsen, E. W., & Kelley, B. W. CMFD and coarse-mesh DSA. United States.
Larsen, E. W., and Kelley, B. W. Sun . "CMFD and coarse-mesh DSA". United States.
@article{osti_22105622,
title = {CMFD and coarse-mesh DSA},
author = {Larsen, E. W. and Kelley, B. W.},
abstractNote = {The Coarse Mesh Finite Difference (CMFD) and Diffusion Synthetic Acceleration (DSA) methods are two widely-used, independently-developed acceleration methods for iteratively solving deterministic particle transport simulations. In this paper we show that these methods are related in the following way: if the standard notion of DSA as a 'fine mesh' method is generalized to that of a coarse mesh method, then the linearized form of CMFD is algebraically equivalent to a coarse mesh form of DSA. Also, we demonstrate theoretically (via Fourier analysis) and computationally that CMFD and coarse mesh DSA have nearly the same convergence properties. (authors)},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2012},
month = {7}
}

Conference:
Other availability
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