Discontinuous Finite Element Quasidiffusion Methods

Anistratov, Dmitriy Yurievich; Warsa, James S.

doi:10.1080/00295639.2018.1450013

Discontinuous Finite Element Quasidiffusion Methods

Journal Article · Mon May 21 00:00:00 EDT 2018 · Nuclear Science and Engineering

DOI:https://doi.org/10.1080/00295639.2018.1450013· OSTI ID:1440477

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

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

Here in this paper, two-level methods for solving transport problems in one-dimensional slab geometry based on the quasi-diffusion (QD) method are developed. A linear discontinuous finite element method (LDFEM) is derived for the spatial discretization of the low-order QD (LOQD) equations. It involves special interface conditions at the cell edges based on the idea of QD boundary conditions (BCs). We consider different kinds of QD BCs to formulate the necessary cell-interface conditions. We develop two-level methods with independent discretization of the high-order transport equation and LOQD equations, where the transport equation is discretized using the method of characteristics and the LDFEM is applied to the LOQD equations. We also formulate closures that lead to the discretization consistent with a LDFEM discretization of the transport equation. The proposed methods are studied by means of test problems formulated with the method of manufactured solutions. Numerical experiments are presented demonstrating the performance of the proposed methods. Lastly, we also show that the method with independent discretization has the asymptotic diffusion limit.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL)

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

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1440477

Report Number(s):: LA-UR-17-30746

Journal Information:: Nuclear Science and Engineering, Journal Name: Nuclear Science and Engineering Journal Issue: 2 Vol. 191; ISSN 0029-5639

Publisher:: American Nuclear Society - Taylor & FrancisCopyright Statement

Country of Publication:: United States

Language:: English

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