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- W3150558032 abstract "Streamline patterns and their bifurcations in two-dimensional Navier–Stokes flow of an incompressible fluid near a non-simple degenerate critical point close to a stationary wall are investigated from the topological point of view by considering a Taylor expansion of the velocity field. Using a five-order normal form approach we obtain a much simplified system of differential equations for the streamlines. Careful analysis of the simplified system gives possible bifurcations for non-simple degeneracies of codimension three. Three heteroclinic connections from three on-wall separation points merge at an in-flow saddle point to produce two separation bubbles with opposite rotations which occur only 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." @default.
- W3150558032 created "2021-04-13" @default.
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- W3150558032 date "2005-01-01" @default.
- W3150558032 modified "2023-09-26" @default.
- W3150558032 title "Streamline topologies near a non-simple degenerate critical point close to a stationary wall using normal forms" @default.
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