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

Alicja Piasecka-Belkhayat

alicja.piasecka@polsl.pl
Silesian University of Technology, Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering (Poland)

Anna Korczak


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

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Published
2014-03-12

Cited by

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

Authors

Alicja Piasecka-Belkhayat 
alicja.piasecka@polsl.pl
Silesian University of Technology, Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering Poland

Authors

Anna Korczak 

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

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