Reference solutions for linear radiation transport: the Hohlraum and Lattice benchmarks

TL;DR

This paper presents detailed benchmark problems for linear radiation transport, providing high-resolution reference solutions to support the development of new numerical methods, uncertainty quantification, and surrogate modeling.

Contribution

It introduces two detailed benchmark problems with high-resolution solutions, facilitating validation and development of advanced radiation transport methods.

Findings

High-resolution simulation data available for benchmarks

Code and data are publicly accessible

Supports development of multi-fidelity uncertainty quantification

Abstract

Two benchmark problems for linear radiation transport and derived from the literature are presented in detail and several quantities of interest are defined. High-resolution simulations are computed using standard, robust numerical methods and implemented using HPC resources. The goal of these simulations is to provide reference solutions for new discretization approaches, to aid in the development of multi-fidelity uncertainty quantification and optimization algorithms, to provide data for training surrogates models. The code used to perform the simulations and post-process the data is publicly available, as is the raw data that used to generate the results presented in the paper.