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A Finite Volume Method Preserving Maximum Principle for the Conjugate Heat Transfer Problems with General Interface Conditions
Huifang Zhou, Zhiqiang Sheng and Guangwei Yuan

J. Comp. Math. DOI: 10.4208/jcm.2107-m2020-0266

Publication Date : 2022-08-09

  • Abstract

In this paper, we present a uni ed nite 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 uni ed scheme do not increase when the interfacial coefficients decrease to zero, which reveals that the uni ed 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.

  • Copyright

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