Comparison of two-dimensional Dual-Phase-Lag and Fourier-Kirchhoff Model order reduction using Krylov Subspace Method

Authors

  • Tomasz Raszkowski Department of Microelectronics and Computer Sciences, Łódź University of Technology
  • Agnieszka Samson Department of Microelectronics and Computer Sciences, Łódź University of Technology
  • Mariusz Zubert Department of Microelectronics and Computer Sciences, Łódź University of Technology

DOI:

https://doi.org/10.26485/0459-6854/2018/68.1/5

Keywords:

Fourier-Kirchhoff model, Dual-Phase-Lag equation, nanoscale heat transfer, temperature distribution model order reduction, Krylov subspace method, Arnoldi algorithm

Abstract

This paper presents the comparison of the temperature distribution in two-dimensional nanometric structure received using two different heat transfer models. The first one is the classical approach based on Fourier-Kirchhoff model, while the second one uses the modern methodology related to Dual-Phase-Lag equation. In both cases the reduced order models have been also prepared. The reduction process was based on the Krylov subspace method. All results have been carefully analysed and discussed in this paper.

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Published

2019-04-26

Issue

Vol. 68 No. 1 (2018)

Section

Articles