Release Time:2019-03-12  Hits:

Indexed by: Conference Paper

Date of Publication: 2014-11-14

Included Journals: Scopus、EI

Volume: 8B

Abstract: In this paper, a new POD-based analysis method is proposed for numerical analysis of thermal mechanical engineering problems consisting of multiple media. After the creation of a heat conduction solution database for each medium, the "snapshot" approach of Proper Orthogonal Decomposition (POD) technique is applied to facilitate reduced-order modeling of the unsteady heat conduction behavior. The snapshot matrix is constructed medium by medium by collecting individual medium solutions at different instants in time through a column-wise manner. By means of expressing physical variables in terms of reduced modes at individual medium level, a system of differential equations about time is formed by utilizing the consistency conditions of the physical variables on interface boundaries. The solutions of the problem can be obtained by solving the system of equations at any desired time steps. A numerical example is given to demonstrate the efficiency of the proposed method. Copyright ? 2014 by ASME.