A Finite Volume Method Preserving Maximum Principle for the Conjugate Heat Transfer Problems with General Interface Conditions
Year: 2023
Author: Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 3 : pp. 345–369
Abstract
In this paper, we present a unified finite volume method preserving discrete maximum principle (DMP) for the conjugate heat transfer problems with general interface conditions. We prove the existence of the numerical solution and the DMP-preserving property. Numerical experiments show that the nonlinear iteration numbers of the scheme in [24] increase rapidly when the interfacial coefficients decrease to zero. In contrast, the nonlinear iteration numbers of the unified scheme do not increase when the interfacial coefficients decrease to zero, which reveals that the unified scheme is more robust than the scheme in [24]. The accuracy and DMP-preserving property of the scheme are also veri ed in the numerical experiments.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2107-m2020-0266
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 3 : pp. 345–369
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Conjugate heat transfer problems General interface conditions Finite volume scheme Discrete maximum principle.