Low-order planar pressure reconstruction of stalled airfoils using particle image velocimetry data
Low-order planar pressure reconstruction of stalled airfoils using particle image velocimetry data
We present planar time-resolved particle image velocimetry (PIV) measurements of flow in the streamwise surface-normal plane of a NACA 0012 airfoil at chord-based Reynolds number Rec=7×104. The angles of attack α=13∘ and 15∘ correspond to transient stall and deep stall flow regimes, respectively. A Poisson solver is utilized to reconstruct the instantaneous planar pressure fields from the PIV with satisfactory comparison in the mean pressure compared with dynamically matched Reynolds-Averaged Navier-Stokes (RANS) simulations. Using the proper orthogonal decomposition (POD), a systematic reduced-order reconstruction of the velocity fields and subsequent pressure fields is used to quantify the required number of velocity modes to achieve a desired accuracy in the instantaneous pressure. Further, a Galerkin projection of the Poisson equation onto the POD subspace is used as a framework to identify the relative contribution of each velocity mode on the resulting pressure field via quadratic stochastic estimation (QSE). In both cases, the zeroth mode (corresponding to the mean) is of leading-order importance. In addition, a tendency of the zeroth mode to interact with vortex-shedding modes is identified.
Carter, D.W.
75fd127b-b918-4bd3-9ada-6e1c7e1ad69d
Ganapathisubramani, B.
5e69099f-2f39-4fdd-8a85-3ac906827052
Carter, D.W.
75fd127b-b918-4bd3-9ada-6e1c7e1ad69d
Ganapathisubramani, B.
5e69099f-2f39-4fdd-8a85-3ac906827052
Carter, D.W. and Ganapathisubramani, B.
(2023)
Low-order planar pressure reconstruction of stalled airfoils using particle image velocimetry data.
Physical Review Fluids.
(doi:10.1103/PhysRevFluids.00.004600).
(In Press)
Abstract
We present planar time-resolved particle image velocimetry (PIV) measurements of flow in the streamwise surface-normal plane of a NACA 0012 airfoil at chord-based Reynolds number Rec=7×104. The angles of attack α=13∘ and 15∘ correspond to transient stall and deep stall flow regimes, respectively. A Poisson solver is utilized to reconstruct the instantaneous planar pressure fields from the PIV with satisfactory comparison in the mean pressure compared with dynamically matched Reynolds-Averaged Navier-Stokes (RANS) simulations. Using the proper orthogonal decomposition (POD), a systematic reduced-order reconstruction of the velocity fields and subsequent pressure fields is used to quantify the required number of velocity modes to achieve a desired accuracy in the instantaneous pressure. Further, a Galerkin projection of the Poisson equation onto the POD subspace is used as a framework to identify the relative contribution of each velocity mode on the resulting pressure field via quadratic stochastic estimation (QSE). In both cases, the zeroth mode (corresponding to the mean) is of leading-order importance. In addition, a tendency of the zeroth mode to interact with vortex-shedding modes is identified.
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PRF__Low_Order_Pressure_Reconstruction_AUTH_VERSION
- Accepted Manuscript
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Accepted/In Press date: 14 December 2023
Identifiers
Local EPrints ID: 485768
URI: http://eprints.soton.ac.uk/id/eprint/485768
ISSN: 2469-990X
PURE UUID: 1406e030-3efd-4e57-983e-de6e41edef02
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Date deposited: 18 Dec 2023 20:38
Last modified: 18 Mar 2024 03:16
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Author:
D.W. Carter
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