Work

Consistent Second Moment Methods with Scalable Linear Solvers for Radiation Transport

Year: 2025

Type: article

Abstract: . Second moment methods (SMMs) are developed that are consistent with the discontinuous Galerkin spatial discretization of the discrete ordinates (or S[Formula: see text]) transport equations. The low-order (LO) diffusion system of equations is discretized with fully consistent P[Formula: see text], 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.

Source: SIAM Journal on Scientific Computing

DOI: 10.1137/24m1657286

Authors: Samuel Olivier, Ben S. Southworth, James S. Warsa, HyeongKae Park

Institution: Los Alamos National Laboratory

Language: English

Topic: Radiative Heat Transfer Studies

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Los Alamos National Laboratory

Awards: G8571489167, G8745076637