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Comparison of iterative methods for solution of the CMFD problem in the nonlinear nodal method

Journal Article · · Transactions of the American Nuclear Society
OSTI ID:411797
;  [1]
  1. Purdue Univ., West Lafayette, IN (United States)

Modern nodal diffusion codes based on the nonlinear iterative nodal method employ standard multilevel iteration strategies and acceleration techniques to solve the coarse-mesh finite difference (CMFD) problem. Two of the most popular methods are the fission source iteration method employing line successive overrelaxation (LSOR) and the cyclic Chebyshev semi-iterative (CCSI) method. In the last several years, considerable research has been performed on a nonstationary class of techniques, collectively known as Krylov subspace methods. Recently, it was demonstrated that the execution time of one of these methods, biconjugate gradient stabilized (Bi-CGSTAB), was competitive with both LSOR and CCSI for the solution of the fixed-source CMFD problem. The work reported here extends this work to the nonlinear nodal method and incorporates the nodal expansion method (NEM) coupling coefficient update into the solution algorithm.

OSTI ID:
411797
Report Number(s):
CONF-951006--
Journal Information:
Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 73; ISSN 0003-018X; ISSN TANSAO
Country of Publication:
United States
Language:
English

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