The numerical analysis of heat transfer at nanoscale using full and reduced DPL models

Abstract

This paper includes the analyses related to the thermal model order reduction. The simplified, one-dimensional structure is investigated. The reduction technique based on the moment matching is employed. For this purpose, the Krylov-subspace-based model order reduction method is used. The generation of the reduced Dual-Phase-Lag heat transfer model is carried out using the Arnoldi algorithm. The temperature distributions obtained using both the full- and reduced-order Dual-Phase-Lag models are analyzed and carefully compared. Moreover, the analysis of the level of the relative error of outputs generated using reduced models in relation to results yielded using full-order model is included. Finally, the computation times are compared and conclusions are included.