The Centroid-Deformation Decomposition for Buoyant Vortex Patch Motion

AbstractIn this paper, a new computational benchmark test for fluid dynamics is presented. The new benchmark is based on the interaction of a single vortex structure (vortex patch) with a wall. It will be shown that it is possible to distinguish two critical or threshold values of the Reynolds number in the considered flow. The increase of the Reynolds number causes the appearance of the vortex bubble in the near-wall region first, and then next, the eruption of the boundary layer phenomenon. Further increase of the Reynolds number causes the flow to be more complex. The eruption phenomenon becomes more intense and also shows its regenerative nature.

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An Extension of Marchioro's Bound on the Growth of a Vortex Patch to Flows with series\itshape L$^\mbox\scriptsizeseries\itshapep$ Vorticity

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141096310910 ◽

1998 ◽

Vol 29 (3) ◽

pp. 596-599 ◽

Cited By ~ 9

Author(s):

M. C. Lopes Filho ◽

H. J. Nussenzveig Lopes

Keyword(s):

Vortex Patch

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Steady vortex patch solutions to the vortex-wave system

Nonlinearity ◽

10.1088/1361-6544/aafe14 ◽

2019 ◽

Vol 32 (5) ◽

pp. 1882-1904 ◽

Cited By ~ 4

Author(s):

Daomin Cao ◽

Guodong Wang

Keyword(s):

Wave System ◽

Vortex Patch

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An Algorithm of Vortex Patches Identification Based on Models of Point Vortices

UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES ◽

10.18522/1026-2237-2020-3-11-18 ◽

2020 ◽

pp. 11-18

Author(s):

V.N. Govorukhin

Keyword(s):

Mathematical Model ◽

Fluid Flow ◽

Flow Region ◽

Velocity Model ◽

Point Vortices ◽

Unknown Parameters ◽

Vortex System ◽

Vortex Patch ◽

Finite Set ◽

Set Of Points

An algorithm for identifying a plane vortex fluid flow from known velocity vectors at a finite set of points in the flow region is proposed. To describe the approximation of the vortex structure, a mathematical model of the system of point vortices is used. The parameters to be determined and characterizing the flow are the number of point vortices, their coordinates, and intensity. Unknown parameters are determined as a result of minimizing the functional that relates the known velocity vectors and the velocity model flows of the vortex system at the same points in the region. An implementation of the algorithm for the simplest case, one vortex patch, is presented. Computational experiments were carried out, which showed the effectiveness of the developed method.

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