2022
DOI: 10.48550/arxiv.2206.08371
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Surface transfer coefficients estimation for heat conduction problem using the Bayesian framework

Julien Berger,
Clemence Legros

Abstract: This work deals with an inverse two-dimensional nonlinear heat conduction problem to determine the top and lateral surface transfer coefficients. For this, the Bayesian framework with the Markov Chain Monte Carlo algorithm is used to determine the posterior distribution of unknown parameters. To handle the computational burden, a lumped one-dimensional model is proposed. The lumped model approximations are considered within the parameter estimation procedure thanks to the Approximation Error Model. The experim… Show more

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