A numerical solution of composite heat transfer problems using meshless method

2004 ◽  
Vol 47 (10-11) ◽  
pp. 2123-2138 ◽  
Author(s):  
I.V. Singh
Keyword(s):  
Heat Transfer ◽  
Numerical Solution ◽  
Meshless Method ◽  
Transfer Problems ◽  
Composite Heat

scholarly journals Efficient Alternative for Construction of the Linear System Stemming from Numerical Solution of Heat Transfer Problems via FEM

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Estaner Claro Romão
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Linear System ◽  
Numerical Solution ◽  
The Finite Element Method ◽  
Numerical Application ◽  
System Building ◽  
Efficient Alternative ◽  
Transfer Problems

This paper proposes an efficient alternative to construction of the linear system coming from a solution via the Finite Element Method that is able to significantly decrease the time of construction of this system. From the presentation of the methodology used and a numerical application it will be clear that the purpose of this work is to be able to decrease 6-7 times (on average) the linear system building time.

A Space-Time Meshless Method for Heat Transfer Problems With High Discontinuities

2013 ◽  
Author(s):  
Arthur Da Silva ◽  
Tonino Sophy ◽  
Ali Kribèche
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Heat Source ◽  
Weight Function ◽  
Meshless Method ◽  
Space Time ◽  
Transient Heat Transfer ◽  
Source Power ◽  
Spurious Oscillations ◽  
Transfer Problems

The aim of this research is the development of a space-time driscretization method based on Diffuse Approximation Meshless method. This method, devoted to transient heat transfer problems presenting high temporal discontinuities, avoids any Finite-Difference time stepping procedure. The space-time discretization proposed here seems to be convenient for continuous transient heat transfer. Nevertheless, for problems including temporal discontinuities, some spurious oscillations, whose amplitudes depend on source power, appear. A new weight function respecting the principle of causality, based on a modification of the involved node’s selection and a normalisation of the distances, is developed. The use of this new weight function both improves the accuracy and vanishes the oscillations. The method is validated by a source free transient heat transfer problem presenting convective exchanges. Then problems including a constant and a discontinuous heat source are solved. Temperatures fields obtained when using the classical weight function are closer to those obtained with a backward Finite Difference scheme when the heat source is continuous. In case of discontinuous sources, when using the classical weight function, temperature fields present some spurious oscillations which disappear when choosing the new one. The proposed method associated to a grid refinement procedure will lead to adaptive grids in space and/or time, independently.

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