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Numerical methods for energy flux of temperature diffusion equation on unstructured meshes
Author(s) -
Lv Guixia,
Shen Longjun,
Shen Zhijun
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1171
Subject(s) - polygon mesh , diffusion , convection–diffusion equation , flux (metallurgy) , diffusion equation , point (geometry) , heat equation , numerical diffusion , energy (signal processing) , mathematics , computer science , mechanics , thermodynamics , mathematical analysis , physics , geometry , materials science , engineering , statistics , metric (unit) , operations management , metallurgy
In this paper, a new approach for approximating energy flux of temperature diffusion equation on unstructured meshes is presented, which is based on different formulae of the finite point method with different accuracies. In addition, a new numerical formula for computing cell nodal temperature is given. Numerical experiments show the good performance and accuracy of our methods. Copyright © 2008 John Wiley & Sons, Ltd.