A stable 1D multigroup high-order low-order method

Journal Article · 13 July 2016 · Journal of Computational and Theoretical Transport

DOI: https://doi.org/10.1080/23324309.2016.1187172 · OSTI ID:1296672

Yee, Ben Chung ^[1]; Wollaber, Allan Benton ^[2]; Haut, Terry Scot ^[2]; Park, HyeongKae ^[2]

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1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Michigan, Ann Arbor, MI (United States)
2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

The high-order low-order (HOLO) method is a recently developed moment-based acceleration scheme for solving time-dependent thermal radiative transfer problems, and has been shown to exhibit orders of magnitude speedups over traditional time-stepping 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 High-Order Low-Order (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 intensity-weighted opacity in the first angular moment equation of the low-order (LO) system with the Rosseland opacity. Furthermore, this results in a modified HOLO method (HOLO-R) that is significantly more stable.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: AC52-06NA25396
• OSTI ID: 1296672
• Report Number(s): LA-UR-15-28071
• Journal Information: Journal of Computational and Theoretical Transport, Journal Name: Journal of Computational and Theoretical Transport; ISSN 2332-4309
• Publisher: Taylor and FrancisCopyright Statement
• Country of Publication: United States
• Language: English