A theoretical and numerical investigation of heteroclinic connection in two-dimensional incompressible flow

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dc.authorid0000-0003-0863-6276en_US
dc.contributor.authorDeliceoğlu, Ali
dc.date.accessioned2024-07-12T20:52:07Z
dc.date.available2024-07-12T20:52:07Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractStreamline patterns and their bifurcations in two-dimensional incompressible fluid near non-simple degenerate critical points are investigated. A normal form transformation is used to simplify the differential equations of a Hamiltonian system that describes the streamlines. Bifurcations in the flow occur when parameters take certain degenerate values. When the degenerate configuration is perturbed slightly, an unfolding of the system is obtained. From this, a complete description of the bifurcations up to codimension two is given. A special flow pattern is found that in flow saddles are connected with a single heteroclinic connection near a non-simple degenerate critical point. The theory is applied to the patterns and bifurcations found numerically in the studies of Stokes flow in a double-lid-driven rectangular cavity.en_US
dc.identifier.citationDeliceoğlu, A. (2009). A theoretical and numerical investigation of heteroclinic connection in two-dimensional incompressible flow. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 34-35.en_US
dc.identifier.endpage35en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage34en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2526
dc.institutionauthorDeliceoğlu, Ali
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference on Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07910
dc.subjectIncompressible Viscous Fluidsen_US
dc.subjectDynamical systems in fluid mechanicsen_US
dc.titleA theoretical and numerical investigation of heteroclinic connection in two-dimensional incompressible flowen_US
dc.typeConference Object
dspace.entity.typePublication

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