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Adjoint-based Sensitivity Analysis for High-Energy Density Radiaitive Transfer using Flux-Limited Diffusion

Computational Physics 2016-12-08 v3

Abstract

Uncertainty quantification and sensitivity analyses are a vital component for predictive modeling in the sciences and engineering. The adjoint approach to sensitivity analysis requires solving a primary system of equations and a mathematically related set of adjoint equations. The information contained in the equations can be combined to produce sensitivity information in a computationally efficient manner. In this work, sensitivity analyses are performed on systems described by flux-limited radiative diffusion using the adjoint approach. The sensitivities computed are shown to agree with standard perturbation theory, and can be obtained in significantly less computational time.

Keywords

Cite

@article{arxiv.1606.01136,
  title  = {Adjoint-based Sensitivity Analysis for High-Energy Density Radiaitive Transfer using Flux-Limited Diffusion},
  author = {Kelli D. Humbird and Ryan G. McClarren},
  journal= {arXiv preprint arXiv:1606.01136},
  year   = {2016}
}
R2 v1 2026-06-22T14:17:03.832Z