General fully implicit discretization of the diffusion term for the finite volume method

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dc.contributor.authorDarwish, Marwan S.
dc.contributor.authorMangani, Luca
dc.contributor.authorHASSAN MOUKALLED, FADL H.
dc.contributor.departmentDepartment of Mechanical Engineering
dc.contributor.facultyMaroun Semaan Faculty of Engineering and Architecture (MSFEA)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:32:12Z
dc.date.available2025-01-24T11:32:12Z
dc.date.issued2017
dc.description.abstractIn this paper, a fully implicit method for the discretization of the diffusion term is presented in the context of the cell-centered finite volume method. The newly developed fully implicit method is denoted by the modified implicit nonlinear diffusion (MIND) scheme. The method is used to solve several isotropic and anisotropic diffusion problems in two-dimensional domains covered with structured (quadrilateral elements) and unstructured (triangular elements) grid systems. The comparison of generated results with similar ones obtained using the semi-implicit scheme demonstrates the superior robustness and accuracy of the MIND scheme and its good convergence characteristics for all types of meshes. © 2017 Taylor & Francis.
dc.identifier.doihttps://doi.org/10.1080/10407790.2017.1330060
dc.identifier.eid2-s2.0-85020273272
dc.identifier.urihttp://hdl.handle.net/10938/27728
dc.language.isoen
dc.publisherTaylor and Francis Ltd.
dc.relation.ispartofNumerical Heat Transfer, Part B: Fundamentals
dc.sourceScopus
dc.subjectDiffusion
dc.subjectFinite volume method
dc.subjectAnisotropic diffusion
dc.subjectConvergence characteristics
dc.subjectFully implicit methods
dc.subjectNonlinear diffusion
dc.subjectQuadrilateral elements
dc.subjectSemi-implicit scheme
dc.subjectTriangular elements
dc.subjectTwo-dimensional domain
dc.subjectFinite element method
dc.titleGeneral fully implicit discretization of the diffusion term for the finite volume method
dc.typeArticle

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