Deliceoğlu, Ali; Bozkurt, Deniz; Çelik, Ebutalib Flow topology in an L-shaped cavity with lids moving in the same directions. (English) Zbl 1459.76057 Math. Methods Appl. Sci. 43, No. 15, 8317-8326 (2020). Summary: Flow development and eddy structure in an L-shaped cavity with lids moving in the same directions have been investigated using both tools from topological and numerical methods. In particular, structural bifurcation near a nonsimple degenerate point is investigated by making a local analysis of the velocity field based on a Taylor series expansion. The streamlines of a Hamiltonian vector field system are simplified by using the homotopy invariance of the index theory. A series of bifurcation curves are constructed to determine the sequence of flow structures by which eddies are generated in the L-shaped cavity. Cited in 1 Document MSC: 76E99 Hydrodynamic stability 76M99 Basic methods in fluid mechanics Keywords:bifurcation; Hamiltonian divergence-free vector field; flow structure; structural stability; Taylor series expansion PDFBibTeX XMLCite \textit{A. Deliceoğlu} et al., Math. Methods Appl. Sci. 43, No. 15, 8317--8326 (2020; Zbl 1459.76057) Full Text: DOI