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Flow topology in an L‐shaped cavity with lids moving in the same directions
Author(s) -
Deliceoğlu Ali,
Bozkurt Deniz,
Çelik Ebutalib
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5972
Subject(s) - mathematics , streamlines, streaklines, and pathlines , vector field , bifurcation , homotopy , degenerate energy levels , mathematical analysis , flow (mathematics) , topology (electrical circuits) , bifurcation theory , geometry , pure mathematics , physics , mechanics , nonlinear system , quantum mechanics , combinatorics
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.