Mathematical Modeling and Numerical Approximation of Heat Conduction in Three-Phase-Lag Solid

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datacite.alternateIdentifier.citationENERGIES,Vol.17,2024
datacite.alternateIdentifier.doi10.3390/en17112497
datacite.creatorCoronel, Anibal
datacite.creatorLozada, Esperanza
datacite.creatorBerres, Stefan
datacite.creatorHuancas, Fernando
datacite.creatorMurua, Nicolas
datacite.date2024
datacite.subject.englishheat conduction
datacite.subject.englishfinite difference method
datacite.subject.englishunconditional numerical method
datacite.subject.englishsecond-order finite difference scheme
datacite.titleMathematical Modeling and Numerical Approximation of Heat Conduction in Three-Phase-Lag Solid
dc.date.accessioned2024-09-10T18:47:12Z
dc.date.available2024-09-10T18:47:12Z
dc.description.abstractIn this article, we propose a mathematical model for one-dimensional heat conduction in a three-layered solid considering that an interfacial condition is present for the temperature and heat flux conditions between the layers. The numerical approach is developed by constructing a finite difference scheme to solve the initial boundary-interface problem. The numerical scheme is designed by considering the accuracy of the model on the inner part of each layer, then extending to the interfaces and boundaries by incorporating the continuous interfacial conditions. The finite difference scheme is unconditionally stable, convergent, and easy to implement since it consists of the solution of two algebraic systems. We provide three numerical examples to confirm that our numerical approximation is consistent with the analytical solution and the physical phenomenon.
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/5985
dc.language.isoen
dc.publisherMDPI
dc.sourceENERGIES
oaire.resourceTypeArticle
uct.indizacionSCI
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