Isogeometric and NURBS-enhanced boundary element formulations for steady-state heat conduction with volumetric heat source and nonlinear boundary conditions

buir.contributor.authorGümüş, Özgür Can
buir.contributor.authorÇetin, Barbaros
buir.contributor.orcidGümüş, Özgür Can|0000-0001-7686-8947
buir.contributor.orcidÇetin, Barbaros|0000-0001-9824-4000
dc.citation.epage309en_US
dc.citation.spage229en_US
dc.citation.volumeNumber145en_US
dc.contributor.authorGümüş, Özgür Can
dc.contributor.authorBaranoğlu, B.
dc.contributor.authorÇetin, Barbaros
dc.date.accessioned2023-02-21T06:38:42Z
dc.date.available2023-02-21T06:38:42Z
dc.date.issued2022-12
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractBoundary Element Method (BEM) is a numerical tool that is applied to many different types of engineering problems. BEM possesses several advantages over other numerical methods such as boundary-only discretization and its semi-analytical nature. Application of Isogeometric Analysis (IGA) to BEM is a recently proposed computational method where the main purpose is to use geometrical basis functions as the shape functions of field variables. Key features of combining these two techniques are the exact representation of the geometry, elimination or suppression of the meshing procedure, reduction of the problem dimension and obtaining highly accurate results especially for the flux values on the boundaries compared to conventional BEM. In this study, steady-state heat conduction problems with nonlinear boundary condition and surface heat source are analyzed where geometries are formed by NURBS, and field variables are described with Lagrangian (constant and quadratic) basis functions and NURBS basis functions. Convergence rates and CPU time of different types of element representations are discussed which eventually reveals the performance and capabilities of IGABEM.en_US
dc.identifier.doi10.1016/j.enganabound.2022.09.021en_US
dc.identifier.eissn1873-197X
dc.identifier.issn0955-7997
dc.identifier.urihttp://hdl.handle.net/11693/111559
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://doi.org/10.1016/j.enganabound.2022.09.021en_US
dc.source.titleEngineering Analysis with Boundary Elementsen_US
dc.subjectBEMen_US
dc.subjectHeat conductionen_US
dc.subjectIsogeometricen_US
dc.subjectNonlinear boundary conditionen_US
dc.subjectNURBSen_US
dc.titleIsogeometric and NURBS-enhanced boundary element formulations for steady-state heat conduction with volumetric heat source and nonlinear boundary conditionsen_US
dc.typeArticleen_US

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