Numerical Analysis of a Stable Finite Volume Scheme for a Generalized Thermistor Model

被引：3
|
作者：
Ghilani, Mustapha [3 ]
Quenjel, El Houssaine [1 ,2 ]
Rhoudaf, Mohamed [4 ]
机构：
[1] Cote dAzur Univ, LJAD, CNRS, UMR 7351, Parc Valrose, F-06108 Nice 02, France
[2] Cote dAzur Univ, COFFEE Team, INRIA Sophia Antipolis Meediterranee, Parc Valrose, F-06108 Nice 02, France
[3] Moulay Ismail Univ, ENSAM Meknes, BP 15290 El Mansour, Meknes 50500, Morocco
[4] Moulay Ismail Univ, Fac Sci, BP 11201 Zitoune, Meknes 50500, Morocco
来源：
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2021年 / 21卷 / 01期
关键词：
Thermistor Model; Finite Volume Scheme; Discrete Maximum Principle; Convergence; COMPRESSIBLE 2-PHASE FLOW; ELEMENT-METHOD; EXISTENCE; EQUATIONS; TEMPERATURE; CONVERGENCE; UNIQUENESS;
D O I：
10.1515/cmam-2019-0144
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalized thermistor model is discretized thanks to a fully implicit vertex-centered finite volume scheme on simplicial meshes. An assumption on the stiffness coefficients is mandatory to prove a discrete maximum principle on the electric potential. This property is fundamental to handle the stability issues related to the Joule heating term. Then the convergence to a weak solution is established. Finally, numerical results are presented to show the efficiency of the methodology and to illustrate the behavior of the temperature together with the electric potential within the medium.
引用
收藏
页码：69 / 87
页数：19
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