New Thermal-Conductivity Constitutive Matrix in Fourier's Law for Heat Transfer Using the Cell Method

被引：2
|
作者：
Ignacio Gonzalez-Dominguez, Pablo [1 ,2 ]
Miguel Monzon-Verona, Jose [1 ,2 ]
Garcia-Alonso, Santiago [3 ]
机构：
[1] Univ Las Palmas Gran Canaria, Elect Engn Dept, Las Palmas Gran Canaria 35017, Spain
[2] Univ Las Palmas Gran Canaria, Inst Appl Microelect IUMA, Las Palmas Gran Canaria 35017, Spain
[3] Univ Las Palmas Gran Canaria, Dept Elect Engn & Automat DIEA, Las Palmas Gran Canaria 35017, Spain
来源：
APPLIED SCIENCES-BASEL | 2019年 / 9卷 / 21期
关键词：
analytical method; computational technique; cell method; FEM; heat conduction; thermal constitutive matrix; FORMULATION; EQUATIONS;
D O I：
10.3390/app9214521
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
In this paper, a new constitutive matrix [M-tau] for thermal conduction, for tetrahedral meshes, in a steady state thermal regime is developed through a new algebraic methodology, using the Cell Method as a computational method, which is included in the finite formulation. The constitutive matrix defines the behavior of solids when they are under a thermal potential. The results are compared with those obtained for the same problem by means of the constitutive matrix [M-lambda] developed previously, taking in both cases with a 2D axisymmetric model as reference, calculated with the finite element method. The errors obtained with the new matrix [M-tau] are of the order of 0.0025%, much lower than those obtained with the matrix [M-lambda].
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页数：19
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