Proceedings of the 2017 6th International Conference on Energy and Environmental Protection (ICEEP 2017)

A symplectic method in two dimensional steady state heat conduction problems

Authors
Weixiang Zhang, Li Chen
Corresponding Author
Weixiang Zhang
Available Online June 2017.
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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Volume Title
Proceedings of the 2017 6th International Conference on Energy and Environmental Protection (ICEEP 2017)
Series
Advances in Engineering Research
Publication Date
June 2017
ISBN
10.2991/iceep-17.2017.245
ISSN
2352-5401
DOI
10.2991/iceep-17.2017.245How to use a DOI?
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/).

Cite this article

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  -