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March 7, 2026Journal of Verification Validation and Uncertainty Quantification

Uncertainty Quantification Of Analytic Radiation Driven Nonlinear Heat Waves

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Authors

WBWilliam M. BennettRMRyan G. McClarren

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Overview

Analysis of temperature profiles and breakout times in nonlinear heat waves, revealing limitations of polynomial chaos expansions.

Key Points

  • This research aims to quantify uncertainty in thermal radiation wave solutions and understand the effects of material property variations.
  • Applied uncertainty quantification methods to the Marshak wave solution.
  • Estimated statistical properties of wave breakout time and material temperature profile.
  • Utilized polynomial chaos expansions to represent analytic functions.
  • Polynomial chaos expansions effectively modeled breakout time functions.
  • They performed poorly in predicting percentile values of temperature profiles with sharp gradients.
  • The study benchmarks radiative transfer codes and highlights limitations of current methods.

Cite This Study

Bennett et al. (2026) studied this question.

synapsesocial.com/papers/69abc2555af8044f7a4ebe28https://doi.org/10.1115/1.4071317
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Also Consider

Synapse has enriched one closely related paper. Consider it for comparative context:

  1. 1The non-equilibrium Marshak wave problem in non-homogeneous media2024 · 5 citations