A finite element study of incompressible flows past oscillating cylinders and aerofoils

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127 Citations (Scopus)

Abstract

We present our numerical results for certain unsteady flows past oscillating cylinders and aerofoils. The computations are based on the stabilized space‐time finite element formulation. The implicit equation systems resulting from the space‐time finite element discretizations are solved using iterative solution techniques. One of the problems studied is flow past a cylinder which is forced to oscillate in the horizontal direction. In this case we observe a change from an unsymmetric mode of vortex shedding to a symmetric one. An extensive study was carried out for the case in which a cylinder is mounted on lightly damped springs and allowed to oscillate in the vertical direction. In this case the motion of the cylinder needs to be determined as part of the solution, and under certain conditions this motion changes the vortex‐shedding pattern of the flow field significantly. This non‐linear fluid‐structure interaction exhibits certain interesting behaviour such as ‘lock‐in’ and ‘hysteresis’, which are in good agreement with the laboratory experiments carried out by other researchers in the past. Preliminary results for flow past a pitching aerofoil are also presented.

Original languageEnglish
Pages (from-to)1073-1118
Number of pages46
JournalInternational Journal for Numerical Methods in Fluids
Volume15
Issue number9
DOIs
Publication statusPublished - 1992
Externally publishedYes

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Oscillating cylinders
Incompressible flow
Incompressible Flow
Airfoils
Space-time Finite Elements
Finite Element
Vortex shedding
Unsteady flow
Hysteresis
Flow fields
Stabilized Finite Elements
Vortex Shedding
Motion
Nonlinear Interaction
Iterative Solution
Finite Element Discretization
Unsteady Flow
Damped
Flow Field
Horizontal

Keywords

  • Clustered element‐by‐element
  • Deforming spatial domain
  • Finite elements
  • Galerkin/least‐squares
  • GMRES
  • Hysteresis
  • Incompressible flows
  • Lock‐in
  • Oscillating cylinder
  • Pitching aerofoil
  • Space‐time
  • Vortex shedding
  • Vortex‐induced oscillations

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

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abstract = "We present our numerical results for certain unsteady flows past oscillating cylinders and aerofoils. The computations are based on the stabilized space‐time finite element formulation. The implicit equation systems resulting from the space‐time finite element discretizations are solved using iterative solution techniques. One of the problems studied is flow past a cylinder which is forced to oscillate in the horizontal direction. In this case we observe a change from an unsymmetric mode of vortex shedding to a symmetric one. An extensive study was carried out for the case in which a cylinder is mounted on lightly damped springs and allowed to oscillate in the vertical direction. In this case the motion of the cylinder needs to be determined as part of the solution, and under certain conditions this motion changes the vortex‐shedding pattern of the flow field significantly. This non‐linear fluid‐structure interaction exhibits certain interesting behaviour such as ‘lock‐in’ and ‘hysteresis’, which are in good agreement with the laboratory experiments carried out by other researchers in the past. Preliminary results for flow past a pitching aerofoil are also presented.",
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N2 - We present our numerical results for certain unsteady flows past oscillating cylinders and aerofoils. The computations are based on the stabilized space‐time finite element formulation. The implicit equation systems resulting from the space‐time finite element discretizations are solved using iterative solution techniques. One of the problems studied is flow past a cylinder which is forced to oscillate in the horizontal direction. In this case we observe a change from an unsymmetric mode of vortex shedding to a symmetric one. An extensive study was carried out for the case in which a cylinder is mounted on lightly damped springs and allowed to oscillate in the vertical direction. In this case the motion of the cylinder needs to be determined as part of the solution, and under certain conditions this motion changes the vortex‐shedding pattern of the flow field significantly. This non‐linear fluid‐structure interaction exhibits certain interesting behaviour such as ‘lock‐in’ and ‘hysteresis’, which are in good agreement with the laboratory experiments carried out by other researchers in the past. Preliminary results for flow past a pitching aerofoil are also presented.

AB - We present our numerical results for certain unsteady flows past oscillating cylinders and aerofoils. The computations are based on the stabilized space‐time finite element formulation. The implicit equation systems resulting from the space‐time finite element discretizations are solved using iterative solution techniques. One of the problems studied is flow past a cylinder which is forced to oscillate in the horizontal direction. In this case we observe a change from an unsymmetric mode of vortex shedding to a symmetric one. An extensive study was carried out for the case in which a cylinder is mounted on lightly damped springs and allowed to oscillate in the vertical direction. In this case the motion of the cylinder needs to be determined as part of the solution, and under certain conditions this motion changes the vortex‐shedding pattern of the flow field significantly. This non‐linear fluid‐structure interaction exhibits certain interesting behaviour such as ‘lock‐in’ and ‘hysteresis’, which are in good agreement with the laboratory experiments carried out by other researchers in the past. Preliminary results for flow past a pitching aerofoil are also presented.

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KW - Incompressible flows

KW - Lock‐in

KW - Oscillating cylinder

KW - Pitching aerofoil

KW - Space‐time

KW - Vortex shedding

KW - Vortex‐induced oscillations

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