Finite-element discretized symplectic method for steady-state heat conduction with singularities in composite structures
Author(s)
Author(s)
Zhou, Z.
Xu, C.
Xu, X.
Date Issued
2015
Publisher
Taylor & Francis
Journal
Numerical Heat Transfer, Part B: Fundamentals
Volume
67
Issue
4
Start page
302
End page
319
Abstract
A new-finite element discretized symplectic method for solving the steady-state heat conduction problem with singularities in composite structures is presented. The model with a singularity is divided into two regions, near and far fields, and meshed using conventional finite elements. In the near field, the temperature and heat flux densities are expanded in exact symplectic eigensolutions. After a matrix transformation, the unknowns in the near field are transformed to coefficients of the symplectic series, while those in the far field are as usual. The exact local solutions for temperature and heat flux densities are obtained simultaneously without any post-processing.
SFU Affiliated Publication
No
Availability at SFU Library
No database links found.