Design and time-domain finite element analysis of a carpet thermal concentrator in metamaterials

Abstract

Traditional transform thermodynamic devices are designed from anisotropic materials which are difficult to fabricate. In this paper, we design and simulate a carpet thermal concentrator. Based on existing transformation thermodynamic techniques, we have derived the perfect parameters required for carpet heat concentrators. In order to eliminate the anisotropy of perfect parameters, we designed a heat concentration device for isotropic materials using the effective medium theory, and a posterior error analysis of the finite element discretization scheme in the metamaterial region is provided. Finally, we present the numerical simulation results to verify the correctness of the analysis and the performance of the designed heat concentration device.