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Estimation of Timewise Varying Boundary Heat Flux via Bayesian Filters and Markov Chain Monte Carlo Method

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Computational Intelligence in Emerging Technologies for Engineering Applications

Part of the book series: Studies in Computational Intelligence ((SCI,volume 872))

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Abstract

This chapter addresses the reconstruction of timewise varying functions within a Bayesian framework. The Markov Chain Monte Carlo method implemented with the Metropolis-Hastings sampler is implemented with a total variation prior model and compared against the results obtained with the Bayesian filter known as SIR (Sampling Importance Resampling). Besides, it is proposed a combination of the Bayesian filter solution (supposed to be obtained online) with the Markov Chain Monte Carlo method solution, consisting of employing the SIR filter solution as the initial state for the Markov Chain Monte Carlo method, allowing for an offline solution refinement with reduced CPU time. An application is presented considering the reconstruction of a boundary heat flux applied to a thermally thin plate. The good results obtained for this application indicate the feasibility of the proposed methodology.

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Acknowledgements

The authors acknowledge the financial support provided by the Brazilian sponsoring agencies FAPERJ, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, CNPq, Conselho Nacional de Desenvolvimento Científico e Tecnológico and CAPES, Fundação Coordenação de Aperfeiçoamento de pessoal de Nível Superior (Finance Code 001).

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Authors and Affiliations

  1. Chemical Engineering Program, CCAE-UFES, Alegre, ES, Brazil

    Wellington B. da Silva & Julio C. S. Dutra

  2. Mechanical Engineering and Energy Department, IPRJ-UERJ, Nova Friburgo, RJ, Brazil

    Diego C. Knupp, Luiz A. S. Abreu & Antônio José Silva Neto

Authors
  1. Wellington B. da Silva
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  2. Julio C. S. Dutra
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  3. Diego C. Knupp
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  4. Luiz A. S. Abreu
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  5. Antônio José Silva Neto
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Editor information

Editors and Affiliations

  1. CUJAE, Universidad Tecnológica de La Habana José Antonio Echeverría, Marianao, La Habana, Cuba

    Orestes Llanes Santiago

  2. University of Granada, Granada, Spain

    Carlos Cruz Corona

  3. Estado do Rio de Janeiro, Instituto Politécnico-Universidade do Estado do Rio de Janeiro, Nova Friburgo, Brazil

    Antônio José Silva Neto

  4. University of Granada, Granada, Spain

    José Luis Verdegay

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da Silva, W.B., Dutra, J.C.S., Knupp, D.C., Abreu, L.A.S., Silva Neto, A.J. (2020). Estimation of Timewise Varying Boundary Heat Flux via Bayesian Filters and Markov Chain Monte Carlo Method. In: Llanes Santiago, O., Cruz Corona, C., Silva Neto, A., Verdegay, J. (eds) Computational Intelligence in Emerging Technologies for Engineering Applications. Studies in Computational Intelligence, vol 872. Springer, Cham. https://doi.org/10.1007/978-3-030-34409-2_8

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