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

Yee, Ben Chung; Wollaber, Allan Benton; Haut, Terry Scot; Park, HyeongKae

doi:10.1080/23324309.2016.1187172

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

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Abstract

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.

Authors:

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

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:: Wed Jul 13 00:00:00 EDT 2016

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1296672

Report Number(s):: LA-UR-15-28071
Journal ID: ISSN 2332-4309

Grant/Contract Number:: AC52-06NA25396

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 2332-4309

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 high-order low-order method.  United States: N. p., 2016. 
Web.  doi:10.1080/23324309.2016.1187172.

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                    Yee, Ben Chung, Wollaber, Allan Benton, Haut, Terry Scot, & Park, HyeongKae. A stable 1D multigroup high-order low-order method.  United States.  https://doi.org/10.1080/23324309.2016.1187172

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                    Yee, Ben Chung, Wollaber, Allan Benton, Haut, Terry Scot, and Park, HyeongKae. Wed .  
"A stable 1D multigroup high-order low-order method".  United States.  https://doi.org/10.1080/23324309.2016.1187172.  https://www.osti.gov/servlets/purl/1296672.

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@article{osti_1296672,

  title        = {A stable 1D multigroup high-order low-order method},

  author       = {Yee, Ben Chung and Wollaber, Allan Benton and Haut, Terry Scot and Park, HyeongKae},

  abstractNote = {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.},

  doi          = {10.1080/23324309.2016.1187172},

  journal      = {Journal of Computational and Theoretical Transport},

  number       = ,

  volume       = ,

  place        = {United States},

  year         = {Wed Jul 13 00:00:00 EDT 2016},

  month        = {Wed Jul 13 00:00:00 EDT 2016}

}

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