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July 27, 2026Open Access

Non-Intrusive Polynomial Chaos Expansion for Uncertainty Quantification in Elmer Heat Transfer Simulations

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Authors

GBGOURI GOUTAM BORTHAKUR

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Overview

Randomized trial demonstrates uncertainty quantification in heat transfer simulations, indicating optimization of critical parameters.

Key Points

  • This research aims to develop a framework for uncertainty quantification using Polynomial Chaos Expansion in heat transfer simulations.
  • Applied non-intrusive Polynomial Chaos Expansion to Elmer HeatSolver
  • Conducted sensitivity analysis to identify dominant uncertainty parameters using Sobol' indices
  • Utilized sparse grids for efficient computation
  • Identified key input parameters influencing maximum temperature variation
  • Provided actionable tolerancing recommendations for heat transfer simulations
  • Exhibited significant reduction in uncertainty of heat-flux norms

Cite This Study

GOURI GOUTAM BORTHAKUR (2026) studied this question.

synapsesocial.com/papers/6a6700a340bca442e0d4a8a8https://doi.org/10.5281/zenodo.21568647
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