Applying nonlinear diffusion acceleration to the neutron transport k-Eigenvalue problem with anisotropic scattering
Journal Article
·
· Nuclear Science and Engineering
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Using Anderson Acceleration to Accelerate the Convergence of Neutron Transport Calculations with Anisotropic Scattering
|
journal | November 2015 |
Similar Records
Applying Nonlinear Diffusion Acceleration to Fixed-Source Problems with Anisotropic Scattering - Paper 15
On the Degradation of the Effectiveness of Nonlinear Diffusion Acceleration with Parallel Block Jacobi Splitting
A comparison of acceleration methods for solving the neutron transport k-eigenvalue problem
Conference
·
Mon Sep 15 00:00:00 EDT 2014
·
OSTI ID:1246339
On the Degradation of the Effectiveness of Nonlinear Diffusion Acceleration with Parallel Block Jacobi Splitting
Journal Article
·
Wed Jun 15 00:00:00 EDT 2016
· Transactions of the American Nuclear Society
·
OSTI ID:1246339
+4 more
A comparison of acceleration methods for solving the neutron transport k-eigenvalue problem
Journal Article
·
Wed Oct 01 00:00:00 EDT 2014
· Journal of Computational Physics
·
OSTI ID:1246339