MODELLING OF TRANSIENT HEAT TRANSPORT IN CRYSTALLINE SOLIDS USING THE INTERVAL LATTICE BOLTZMANN METHOD (TWO-DIMENSIONAL MODEL)

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Published: Mar 12, 2014
DOI: https://doi.org/10.5604/20830157.1093212
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DOI

https://doi.org/10.5604/20830157.1093212

Authors

Alicja Piasecka-Belkhayat

alicja.piasecka@polsl.pl

Silesian University of Technology, Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering, Poland
Anna Korczak

anna.korczak@polsl.pl

Silesian University of Technology, Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering, Poland

Abstract

In the paper the two-dimensional numerical modelling of heat transfer in crystalline solids is considered. In the mathematical description the relaxation time and the boundary conditions are given as interval numbers. The problem formulated has been solved by means of the interval lattice Boltzmann method using the rules of directed interval arithmetic.

Keywords:

Boltzmann transport equation, interval lattice Boltzmann method, directed interval arithmetic

References

Article Details

Piasecka-Belkhayat, A., & Korczak, A. (2014). MODELLING OF TRANSIENT HEAT TRANSPORT IN CRYSTALLINE SOLIDS USING THE INTERVAL LATTICE BOLTZMANN METHOD (TWO-DIMENSIONAL MODEL). Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 4(1), 69–71. https://doi.org/10.5604/20830157.1093212