A theoretical and numerical investigation of heteroclinic connection in two-dimensional incompressible flow
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.
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.
SourceInternational Conference on Mathematical Sciences
- Makale Koleksiyonu 
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