ASSESSMENT OF TWO DISCRETIZATION SCHEMES FOR HEAT CONDUCTION AND PHASE CHANGE MODELING

Authors

  • Jacqueline Elhage Ramis ITA
  • Paulo Ivo Braga de Queiroz ITA
  • Eliseu Lucena Neto ITA
  • Alex Guimarães de Azevedo ITA
  • Paulo Scarano Hemsi ITA

DOI:

https://doi.org/10.26512/ripe.v2i12.21341

Keywords:

Convergence. Eigenvalue bound. Finite element. Heat conduction.

Abstract

Heat conduction and phase change problems are discretized in space by means of finite elements based on Ritz and collocation methods, while the time discretization stems from a fully implicit scheme. These formulations have their performances assessed by comparing the numerical results with the exact solutions of problems in semi-infinite media, either in pure diffusion without phase change - one-phase Stefan problem - or in conduction with phase change - two-phase Stefan problem. Convergence analyses reveal that the Ritz method is better suited to one-phase Stefan problem, while the two-phase Stefan problem is better treated by the collocation method.

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References

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Published

2017-01-10

How to Cite

Ramis, J. E., Queiroz, P. I. B. de, Lucena Neto, E., Azevedo, A. G. de, & Hemsi, P. S. (2017). ASSESSMENT OF TWO DISCRETIZATION SCHEMES FOR HEAT CONDUCTION AND PHASE CHANGE MODELING. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(12), 11–23. https://doi.org/10.26512/ripe.v2i12.21341

Issue

Vol. 2 No. 12 (2016): COMPUTATIONAL THERMAL SCIENCES

Section

Artigos

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