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Title: Applying nonlinear diffusion acceleration to the neutron transport k-Eigenvalue problem with anisotropic scattering

Journal Article · · Nuclear Science and Engineering
DOI:https://doi.org/10.13182/NSE14-131· OSTI ID:1246339
 [1];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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High-order/low-order (or moment-based acceleration) algorithms have been used to significantly accelerate the solution to the neutron transport k-eigenvalue problem over the past several years. Recently, the nonlinear diffusion acceleration algorithm has been extended to solve fixed-source problems with anisotropic scattering sources. In this paper, we demonstrate that we can extend this algorithm to k-eigenvalue problems in which the scattering source is anisotropic and a significant acceleration can be achieved. Lastly, we demonstrate that the low-order, diffusion-like eigenvalue problem can be solved efficiently using a technique known as nonlinear elimination.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1246339
Report Number(s):
LA-UR-14-28681
Journal Information:
Nuclear Science and Engineering, Vol. 181, Issue 3; ISSN 0029-5639
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

References (6)

A comparison of acceleration methods for solving the neutron transport k -eigenvalue problem journal October 2014
Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the k-eigenvalue problem journal April 2013
Application of the Jacobian-Free Newton-Krylov Method to Nonlinear Acceleration of Transport Source Iteration in Slab Geometry journal February 2011
Hybrid Krylov Methods for Nonlinear Systems of Equations journal May 1990
A Functional Monte Carlo Method for k -Eigenvalue Problems journal June 2008
Analytical benchmark test set for criticality code verification journal January 2003

Cited By (1)

Using Anderson Acceleration to Accelerate the Convergence of Neutron Transport Calculations with Anisotropic Scattering journal November 2015

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