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Numerical computation of the heat transfer coefficient in the 2-D inverse design stefan problem

Research output: Contribution to journalConference articlepeer-review

Abstract

This paper presents an example of the application of a genetic algorithm to a 2-D design problem, which consists in the reconstruction of the function that describes the convective heat transfer coefficient, when the position of the moving interface of the phase change is well-known. In numerical calculations the Tikhonov regularization, the genetic algorithm and the alternating phase truncation method were used. The featured examples of calculations show a very good approximation of the exact solution and the stability of the procedure.

Original languageEnglish
Pages (from-to)1555-1560
Number of pages6
JournalAIP Conference Proceedings
Volume908
DOIs
Publication statusPublished - 2007
EventMATERIALS PROCESSING AND DESIGN; Modeling, Simulation and Applications - NUMIFORM '07: 9th International Conference on Numerical Methods in Industrial Forming Processes - Porto, Portugal
Duration: 17 Jun 200721 Jun 2007

Keywords

  • Genetic algorithm
  • Inverse Stefan problem
  • Solidification
  • Tikhonov regularization

ASJC Scopus subject areas

  • General Physics and Astronomy

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