A theoretical and numerical investigation of heteroclinic connection in two-dimensional incompressible flow
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
Streamline 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.
Açıklama
Anahtar Kelimeler
Incompressible Viscous Fluids, Dynamical systems in fluid mechanics
Kaynak
International Conference on Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Deliceoğlu, 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.
