@inproceedings{a367a56eec0c4e0090ccf85c3efe088b,
title = "Numerical modeling of thermal processes in heated metal films with imprecise parameters and periodic boundary conditions",
abstract = "The paper presents the description of numerical modelling of heat transfer proceeding in metals in nano scale. The mathematical model of the problem analyzed is based on the interval coupled lattice Boltzmann equations for electrons and phonons supplemented by the boundary-initial conditions. The first, second and periodic type boundary conditions have been assumed. In this model, the standard two-dimensional 9-speed lattice (D2Q9) is used. The main concept behind this work was to use the directed interval arithmetic to analyze the thermal processes with the uncertain parameters. Moreover the periodic boundary conditions have been introduced to deal with the situation where heat transport takes place in a region with a large ratio of the length to the width. In the final part of the paper the numerical examples of two- dimensional heat transfer analysis are shown.",
author = "A. Piasecka-Belkhayat and A. Korczak",
note = "Publisher Copyright: {\textcopyright} 2020 Author(s).; 4th Polish Congress of Mechanics, PCM 2019 and the 23rd International Conference on Computer Methods in Mechanics, CMM 2019 ; Conference date: 08-09-2019 Through 12-09-2019",
year = "2020",
month = may,
day = "22",
doi = "10.1063/5.0007922",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Witold Cecot and Marek Kozien and Wojciech Lisowski and Kinga Nalepka and Jerzy Pamin and Waclaw Reczek and Blazej Skoczen",
booktitle = "4th Polish Congress of Mechanics and the 23rd International Conference on Computer Methods in Mechanics",
address = "United States",
}