A stable 1D multigroup highorder loworder method
Abstract
The highorder loworder (HOLO) method is a recently developed momentbased acceleration scheme for solving timedependent thermal radiative transfer problems, and has been shown to exhibit orders of magnitude speedups over traditional timestepping schemes. However, a linear stability analysis by Haut et al. (2015 Haut, T. S., Lowrie, R. B., Park, H., Rauenzahn, R. M., Wollaber, A. B. (2015). A linear stability analysis of the multigroup HighOrder LowOrder (HOLO) method. In Proceedings of the Joint International Conference on Mathematics and Computation (M&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method; Nashville, TN, April 19–23, 2015. American Nuclear Society.) revealed that the current formulation of the multigroup HOLO method was unstable in certain parameter regions. Since then, we have replaced the intensityweighted opacity in the first angular moment equation of the loworder (LO) system with the Rosseland opacity. Furthermore, this results in a modified HOLO method (HOLOR) that is significantly more stable.
 Authors:

 Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Michigan, Ann Arbor, MI (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Research Org.:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1296672
 Report Number(s):
 LAUR1528071
Journal ID: ISSN 23324309
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Computational and Theoretical Transport
 Additional Journal Information:
 Journal Name: Journal of Computational and Theoretical Transport; Journal ID: ISSN 23324309
 Publisher:
 Taylor and Francis
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; thermal transfer, stability analysis, discontinuous Galerkin
Citation Formats
Yee, Ben Chung, Wollaber, Allan Benton, Haut, Terry Scot, and Park, HyeongKae. A stable 1D multigroup highorder loworder method. United States: N. p., 2016.
Web. https://doi.org/10.1080/23324309.2016.1187172.
Yee, Ben Chung, Wollaber, Allan Benton, Haut, Terry Scot, & Park, HyeongKae. A stable 1D multigroup highorder loworder method. United States. https://doi.org/10.1080/23324309.2016.1187172
Yee, Ben Chung, Wollaber, Allan Benton, Haut, Terry Scot, and Park, HyeongKae. Wed .
"A stable 1D multigroup highorder loworder method". United States. https://doi.org/10.1080/23324309.2016.1187172. https://www.osti.gov/servlets/purl/1296672.
@article{osti_1296672,
title = {A stable 1D multigroup highorder loworder method},
author = {Yee, Ben Chung and Wollaber, Allan Benton and Haut, Terry Scot and Park, HyeongKae},
abstractNote = {The highorder loworder (HOLO) method is a recently developed momentbased acceleration scheme for solving timedependent thermal radiative transfer problems, and has been shown to exhibit orders of magnitude speedups over traditional timestepping schemes. However, a linear stability analysis by Haut et al. (2015 Haut, T. S., Lowrie, R. B., Park, H., Rauenzahn, R. M., Wollaber, A. B. (2015). A linear stability analysis of the multigroup HighOrder LowOrder (HOLO) method. In Proceedings of the Joint International Conference on Mathematics and Computation (M&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method; Nashville, TN, April 19–23, 2015. American Nuclear Society.) revealed that the current formulation of the multigroup HOLO method was unstable in certain parameter regions. Since then, we have replaced the intensityweighted opacity in the first angular moment equation of the loworder (LO) system with the Rosseland opacity. Furthermore, this results in a modified HOLO method (HOLOR) that is significantly more stable.},
doi = {10.1080/23324309.2016.1187172},
journal = {Journal of Computational and Theoretical Transport},
number = ,
volume = ,
place = {United States},
year = {2016},
month = {7}
}