Two-Level Transport Methods with Independent Discretization

Warsa, James S.; Anistratov, Dmitriy Y.

doi:10.1080/23324309.2018.1497991

Title: Two-Level Transport Methods with Independent Discretization

Journal Article · Mon Nov 19 00:00:00 EST 2018 · Journal of Computational and Theoretical Transport

DOI:https://doi.org/10.1080/23324309.2018.1497991· OSTI ID:1525823

Warsa, James S. ^[1]; Anistratov, Dmitriy Y. ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
North Carolina State Univ., Raleigh, NC (United States)

In this proposal, we introduce two-level nonlinear iteration methods for the transport equation in 1D slab geometry approximated by means of the linear discontinuous finite element method (LDFEM). We develop transport schemes based on the quasidiffusion (QD) method in which the low-order QD (LOQD) equations are discretized by the linear continuous finite element method (LCFEM). This requires a mapping of the LCFEM low-order solution to the LDFEM high-order solution to define the scattering term. Several mappings are proposed and analyzed. Another suggested transport discretization scheme is based on the step characteristics for the transport equation and LCFEM for the LOQD equations. We also develop new nonlinear synthetic acceleration (NSA) methods based on the LCFEM discretization of the QD equation. To gain iterative stability, the NSA algorithms are combined with the nonlinear Krylov acceleration method. We present numerical results that demonstrate performance and basic properties of the proposed discretization schemes and iterative solution methods.

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1525823

Report Number(s):: LA-UR-18-22117

Journal Information:: Journal of Computational and Theoretical Transport, Vol. 47, Issue 4-6; ISSN 2332-4309

Publisher:: Taylor and FrancisCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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