TY - JOUR
T1 - A Finite Volume Method Preserving Maximum Principle for the Conjugate Heat Transfer Problems with General Interface Conditions
AU - Zhou , Huifang
AU - Sheng , Zhiqiang
AU - Yuan , Guangwei
JO - Journal of Computational Mathematics
VL - 3
SP - 345
EP - 369
PY - 2023
DA - 2023/02
SN - 41
DO - http://doi.org/10.4208/jcm.2107-m2020-0266
UR - https://global-sci.org/intro/article_detail/jcm/21388.html
KW - Conjugate heat transfer problems, General interface conditions, Finite volume scheme, Discrete maximum principle.
AB - <p>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.</p>