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Multilevel acceleration of scattering-source iterations with application to electron transport

Journal Article · · Arab Gulf Journal of Scientific Research (1989)
 [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
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Acceleration/preconditioning strategies available in the SCEPTRE radiation transport code are described. A flexible transport synthetic acceleration (TSA) algorithm that uses a low-order discrete-ordinates (SN) or spherical-harmonics (PN) solve to accelerate convergence of a high-order SN source-iteration (SI) solve is described. Convergence of the low-order solves can be further accelerated by applying off-the-shelf incomplete-factorization or algebraic-multigrid methods. Also available is an algorithm that uses a generalized minimum residual (GMRES) iterative method rather than SI for convergence, using a parallel sweep-based solver to build up a Krylov subspace. TSA has been applied as a preconditioner to accelerate the convergence of the GMRES iterations. The methods are applied to several problems involving electron transport and problems with artificial cross sections with large scattering ratios. These methods were compared and evaluated by considering material discontinuities and scattering anisotropy. Observed accelerations obtained are highly problem dependent, but speedup factors around 10 have been observed in typical applications.
Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1399506
Alternate ID(s):
OSTI ID: 22713646
Report Number(s):
SAND--2017-6703J; PII: S1738573317303066
Journal Information:
Arab Gulf Journal of Scientific Research (1989), Journal Name: Arab Gulf Journal of Scientific Research (1989) Journal Issue: 6 Vol. 49; ISSN 1738-5733
Publisher:
Korean Nuclear SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (8)

Fast iterative methods for discrete-ordinates particle transport calculations journal January 2002
Discontinuous diffusion synthetic acceleration for S n transport on 2D arbitrary polygonal meshes journal October 2014
Angular Multigrid Preconditioner for Krylov-Based Solution Techniques Applied to theSnEquations with Highly Forward-Peaked Scattering journal January 2012
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems journal July 1986
Krylov Iterative Methods and the Degraded Effectiveness of Diffusion Synthetic Acceleration for Multidimensional S N Calculations in Problems with Material Discontinuities journal July 2004
An Analysis of the Extended-Transport Correction with Application to Electron Beam Transport journal March 2007
Fully Consistent Diffusion Synthetic Acceleration of Linear Discontinuous S N Transport Discretizations on Unstructured Tetrahedral Meshes journal July 2002
A Transport Synthetic Acceleration Method for Transport Iterations journal March 1997

Cited By (1)

An Angular Multigrid Preconditioner for the Radiation Transport Equation with Forward-Peaked Scatter preprint January 2020

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46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY