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dc.contributor.authorSalama, Amgad
dc.contributor.authorSun, Shuyu
dc.contributor.authorEl-Amin, M. F.
dc.date.accessioned2015-08-03T11:01:27Z
dc.date.available2015-08-03T11:01:27Z
dc.date.issued2013-03-20
dc.identifier.issn00221481
dc.identifier.doi10.1115/1.4023228
dc.identifier.urihttp://hdl.handle.net/10754/562686
dc.description.abstractIn this work, we introduce multipoint flux (MF) approximation method to the problem of conduction heat transfer in anisotropic media. In such media, the heat flux vector is no longer coincident with the temperature gradient vector. In this case, thermal conductivity is described as a second order tensor that usually requires, at least, six quantities to be fully defined in general three-dimensional problems. The two-point flux finite differences approximation may not handle such anisotropy and essentially more points need to be involved to describe the heat flux vector. In the framework of mixed finite element method (MFE), the MFMFE methods are locally conservative with continuous normal fluxes. We consider the lowest order Brezzi-Douglas-Marini (BDM) mixed finite element method with a special quadrature rule that allows for nodal velocity elimination resulting in a cell-centered system for the temperature. We show comparisons with some analytical solution of the problem of conduction heat transfer in anisotropic long strip. We also consider the problem of heat conduction in a bounded, rectangular domain with different anisotropy scenarios. It is noticed that the temperature field is significantly affected by such anisotropy scenarios. Also, the technique used in this work has shown that it is possible to use the finite difference settings to handle heat transfer in anisotropic media. In this case, heat flux vectors, for the case of rectangular mesh, generally require six points to be described. Copyright © 2013 by ASME.
dc.publisherASME International
dc.subjectAnisotropic media
dc.subjectCell-centered finite difference
dc.subjectConduction heat transfer
dc.subjectMixed finite element
dc.subjectMultipoint flux approximation
dc.titleA multipoint flux approximation of the steady-state heat conduction equation in anisotropic media
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.identifier.journalJournal of Heat Transfer
dc.contributor.institutionNuclear Research Center, Atomic Energy Authority, 13759 Cairo, Egypt
dc.contributor.institutionMathematics Department, Faculty of Science, Aswan University, 81718 Aswan, Egypt
kaust.personSalama, Amgad
kaust.personSun, Shuyu


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