Solution of hyperbolic bioheat transfer problems by numerical green's functions: the ExGA-linear θ method

dc.creatorLoureiro, F. S.
dc.creatorWrobel, L. C.
dc.creatorMansur, W. J.
dc.date2018-12-19T10:22:07Z
dc.date2018-12-18
dc.date2018-12-19T10:22:07Z
dc.date2012-10
dc.date.accessioned2023-09-29T15:03:46Z
dc.date.available2023-09-29T15:03:46Z
dc.identifierhttp://dx.doi.org/10.1590/S1678-58782012000400006
dc.identifierhttps://repositorio.ufjf.br/jspui/handle/ufjf/8321
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9124168
dc.descriptionThis paper presents a time-domain formulation called Explicit Green's approach (ExGA) linear θ method for the solution of the bioheat equation. Starting from the hyperbolic bioheat equation, which includes the parabolic one as a special case, the linear method is incorporated into the standard ExGA time marching scheme. The numerical Green's function is firstly computed in the Laplace transform domain and then back-transformed to the time domain through the Stehfest inversion algorithm. The proposed formulation has the properties of stabilizing the results and suppressing numerical oscillations that appear in the presence of discontinuous solutions as assessed through the analysis of some bioheat transfer problems.
dc.description-
dc.formatapplication/pdf
dc.languageeng
dc.publisher-
dc.publisherBrasil
dc.publisher-
dc.relationJournal of the Brazilian Society of Mechanical Sciences and Engineering
dc.rightsAcesso Aberto
dc.subjectNumerical Green's function
dc.subjectBioheat
dc.subjectExGA
dc.subjectTime-marching scheme
dc.subjectLaplace transform
dc.subject-
dc.titleSolution of hyperbolic bioheat transfer problems by numerical green's functions: the ExGA-linear θ method
dc.typeArtigo de Periódico


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