A posteriori finite element output bounds with adaptive mesh refinement: application to a heat transfer problem in a three-dimensional rectangular duct

2002 ◽  
Vol 191 (43) ◽  
pp. 4905-4925 ◽  
Author(s):  
Hae-Won Choi ◽  
Marius Paraschivoiu
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Adaptive Mesh Refinement ◽  
Transfer Problem ◽  
Mesh Refinement ◽  
Three Dimensional ◽  
Adaptive Mesh ◽  
Heat Transfer Problem ◽  
A Posteriori ◽  
Rectangular Duct

Development of an Object-Oriented Program With Adaptive Mesh Refinement for Heat Transfer Simulations

2007 ◽  
Author(s):  
Jianhu Nie ◽  
David A. Hopkins ◽  
Yitung Chen ◽  
Hsuan-Tsung Hsieh
Keyword(s):  
Heat Transfer ◽  
Adaptive Mesh Refinement ◽  
Large Scale ◽  
Mesh Refinement ◽  
Object Oriented ◽  
Adaptive Mesh ◽  
Time Cost ◽  
Test Bed ◽  
Element Analysis ◽  
Cpu Time

A 2D/3D object-oriented program with h-type adaptive mesh refinement method is developed for finite element analysis of the multi-physics applications including heat transfer. A framework with some basic classes that enable the code to be built accordingly to the type of problem to be solved is proposed. The program consists of different modules and classes, which ease code development for large-scale complex systems, code extension and program maintenance. The developed program can be used as a “test-bed” program for testing new analysis techniques and algorithms with high extensibility and flexibility. The overall mesh refinement causes the CPU time cost to greatly increase as the mesh is refined. However, the CPU time cost does not increase very much with the increase of the level of h-adaptive mesh refinement. The CPU time cost can be saved by up to 90%, especially for the simulated system with a large number of elements and nodes.

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