A symplectic method in two dimensional steady state heat conduction problems

DOI

10.2991/iceep-17.2017.245How to use a DOI?

Keywords

Hamiltonian mthod; Heat conduction; temperature

Abstract

A Hamiltonian mthod is proposed to solve the steady state heat conduction problem. Due to the completeness property of the eigensolutions, any solution vector can be easily described by linear combination of the fundamental solutions. The method can be used to directly solve various boundary condition problems, including mixed conditions. Numerical results show the decay character of the temperature. The temperature concentration is seriously confined near the boundary of the fixed, and decrease rapidly with the distance of the boundarys.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Weixiang Zhang
AU  - Li Chen
PY  - 2017/06
DA  - 2017/06
TI  - A symplectic method in two dimensional steady state heat conduction problems
BT  - Proceedings of the 2017 6th International Conference on Energy and Environmental Protection (ICEEP 2017)
PB  - Atlantis Press
SP  - 1389
EP  - 1393
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceep-17.2017.245
DO  - 10.2991/iceep-17.2017.245
ID  - Zhang2017/06
ER  -