Dual-Phase-Lag Model order reduction using Krylov subspace method for 2-dimensional structures

Abstract

In this paper the temperature distribution of nanoscale structure is investigated. Presented analyses focus on two-dimensional rectangular structure. The problem has been solved using the Dual-phase-Lag heat transfer model. In order to reduce the complexity of the problem, the reduction methodology based on Krylov subspace has been used. The reduced-order model matrices generation has been based on the one-sided Arnoldi algorithm. Moreover, comparison of results received using both reduced and full thermal models for different number of discretization mesh nodes and different time instants have been demonstrated. Furthermore, the relative error of generation of reduced thermal model from full model has been considered. Finally, the most important conclusions from the presented research have been also included.