Consistent Second Moment Methods with Scalable Linear Solvers for Radiation Transport

Olivier, Samuel Stephen; Southworth, Benjamin Scott; Warsa, James S.; Park, HyeongKae

doi:10.1137/24m1657286

Consistent Second Moment Methods with Scalable Linear Solvers for Radiation Transport

Journal Article · Fri May 02 00:00:00 EDT 2025 · SIAM Journal on Scientific Computing

DOI:https://doi.org/10.1137/24m1657286· OSTI ID:2566433

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Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Second moment methods (SMMs) are developed that are consistent with the discontinuous Galerkin spatial discretization of the discrete ordinates (or S\(_N\)) transport equations. The low-order (LO) diffusion system of equations is discretized with fully consistent P\(_1\), local discontinuous Galerkin (LDG), and interior penalty (IP) methods. A discrete residual approach is used to derive SMM correction terms that make each of the LO systems consistent with the high-order discretization. We show that the consistent methods are more accurate and have better solution quality than independently discretized LO systems, that they preserve the diffusion limit, and that the LDG and IP consistent SMMs can be scalably solved in parallel on a challenging, multimaterial benchmark problem.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2566433

Report Number(s):: LA-UR--24-23582

Journal Information:: SIAM Journal on Scientific Computing, Journal Name: SIAM Journal on Scientific Computing Journal Issue: 3 Vol. 47; ISSN 1064-8275

Publisher:: Society for Industrial and Applied Mathematics (SIAM)Copyright Statement

Country of Publication:: United States

Language:: English

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