skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Application of linear multifrequency-grey acceleration to preconditioned Krylov iterations for thermal radiation transport

Journal Article · · Journal of Computational Physics
ORCiD logo [1];  [1]; ORCiD logo [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Texas A & M Univ., College Station, TX (United States)
+ Show Author Affiliations

The thermal radiative transfer (TRT) equations comprise a radiation equation coupled to the material internal energy equation. Linearization of these equations produces effective, thermally-redistributed scattering through absorption-reemission. In this paper, we investigate the effectiveness and efficiency of Linear-Multi-Frequency-Grey (LMFG) acceleration that has been reformulated for use as a preconditioner to Krylov iterative solution methods. We introduce two general frameworks, the scalar flux formulation (SFF) and the absorption rate formulation (ARF), and investigate their iterative properties in the absence and presence of true scattering. SFF has a group-dependent state size but may be formulated without inner iterations in the presence of scattering, while ARF has a group-independent state size but requires inner iterations when scattering is present. We compare and evaluate the computational cost and efficiency of LMFG applied to these two formulations using a direct solver for the preconditioners. Finally, this work is novel because the use of LMFG for the radiation transport equation, in conjunction with Krylov methods, involves special considerations not required for radiation diffusion.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC52-06NA25396; FG02-97ER25308
OSTI ID:
1457277
Alternate ID(s):
OSTI ID: 1548163
Report Number(s):
LA-UR-17-28830; TRN: US1901346
Journal Information:
Journal of Computational Physics, Vol. 372; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Figures / Tables (13)

Figure 1(p. 16)figure Figure 1
Table 1(p. 16)table Table 1
Figure 2(p. 17)figure Figure 2
Figure 3(p. 18)figure Figure 3
Table 2(p. 18)table Table 2
Figure 4(p. 19)figure Figure 4
Figure 5(p. 21)figure Figure 5
Table 3(p. 21)table Table 3
Figure 6(p. 22)figure Figure 6
Table 4(p. 23)table Table 4
Table 5(p. 24)table Table 5
Figure 7(p. 25)figure Figure 7
Figure 8(p. 26)figure Figure 8

Similar Records

Linear multifrequency-grey acceleration recast for preconditioned Krylov iterations
Journal Article · Sat Nov 10 00:00:00 EST 2007 · Journal of Computational Physics · OSTI ID:1457277
Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
Journal Article · Sat May 20 00:00:00 EDT 2000 · Journal of Computational Physics · OSTI ID:1457277
Krylov Iterative Methods and the Degraded Effectiveness of Diffusion Synthetic Acceleration for Multidimensional S{sub N} Calculations in Problems with Material Discontinuities
Journal Article · Thu Jul 15 00:00:00 EDT 2004 · Nuclear Science and Engineering · OSTI ID:1457277

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Thermal radiation transport
Preconditioned Krylov Methods
Linear Multifrequency grey acceleration