scholarly journals A numerical solution to an inverse unsteady-state heat transfer problem involving the Trefftz functions

2017 ◽  
Vol 143 ◽  
pp. 02069
Author(s):  
Beata Maciejewska ◽  
Magdalena Piasecka
Keyword(s):  
Heat Transfer ◽  
Numerical Solution ◽  
Transfer Problem ◽  
Heat Transfer Problem ◽  
Unsteady State ◽  
State Heat

A Technique with a Correction Term for Unsteady State Heat Transfer Problem with Moving Boundary

2016 ◽  
Vol 13 (02) ◽  
pp. 1640010 ◽  
Author(s):  
R. P. Niu ◽  
G. R. Liu ◽  
M. Li
Keyword(s):  
Heat Transfer ◽  
Moving Boundary ◽  
Transfer Problem ◽  
Correction Term ◽  
Heat Transfer Problem ◽  
Unsteady State ◽  
The Finite Element Method ◽  
State Heat ◽  
Time Marching ◽  
Previous Step

The paper proposes a general formulation for simulating unsteady state heat transfer problem with moving boundaries. The method is equipped with a correction term based on the finite element method. In dealing with the unsteady behavior, forward time marching is performed using the finite difference method. We introduce a correction term to effectively deal with the moving boundary effects, which directly uses the nodal temperature at the previous step in the time marching process. A mathematical study has been conducted to examine the theoretical basis. Finally, intensive numerical experiments are conducted to demonstrate effectiveness and stability of the proposed procedure.

Numerical solution of a heat-transfer problem

1968 ◽  
Vol 15 (6) ◽  
pp. 1204-1212 ◽  
Author(s):  
N. G. Kondrashov ◽  
T. L. Perel'man ◽  
V. B. Ryvkin ◽  
M. M. Baida
Keyword(s):  
Heat Transfer ◽  
Numerical Solution ◽  
Transfer Problem ◽  
Heat Transfer Problem
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