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A novel approach for reconstructing pressure from PIV velocity measurements

Auteri, Franco and Montagnani, Davide and Zagaglia, Daniele and Gibertini, Giuseppe and Merz, Christoph B. and Zanotti, Alex (2015) A novel approach for reconstructing pressure from PIV velocity measurements. Experiments in Fluids, 56:45, pp. 1-22. Springer. DOI: 10.1007/s00348-015-1912-z ISSN 0723-4864

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Official URL: http://link.springer.com/article/10.1007/s00348-015-1912-z

Abstract

The purpose of this work is to develop an innovative procedure for reconstructing the pressure field from PIV velocity measurements of unsteady, incompressible flows. The proposed technique is based on a generalization of the Glowinski-Pironneau method for the uncoupled solution of the incompressible Navier–Stokes equations written in primitive variables and exploits a finite element discretization of the measurement grid. By virtue of the underlying mathematical formulation, some of the drawbacks affecting the techniques proposed so far in the literature, such as the use of ad hoc boundary conditions for the pressure and the insufficient robustness with respect to measurement errors, are overcome. The method is first applied to an exact solution of the Navier–Stokes equations, showing second order convergence of the L∞ error for the pressure variable. The robustness of the method with respect to stochastic perturbations in the velocity field is then tested and the results compared with other techniques proposed in the literature. Finally, the proposed technique is applied to both a phase-averaged and time-resolved PIV database of the flow around a pitching airfoil employed to investigate the dynamic stall. The reconstructed pressure is compared with direct pressure measurements, showing very encouraging results.

Item URL in elib:https://elib.dlr.de/91063/
Document Type:Article
Additional Information:Published online: 15. Feb. 2015; Online ISSN: 1432-1114
Title:A novel approach for reconstructing pressure from PIV velocity measurements
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Auteri, Francofranco.auteri (at) polimi.itUNSPECIFIED
Montagnani, DavideDipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di MilanoUNSPECIFIED
Zagaglia, DanieleDipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di MilanoUNSPECIFIED
Gibertini, GiuseppeDipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di MilanoUNSPECIFIED
Merz, Christoph B.christoph.merz (at) dlr.deUNSPECIFIED
Zanotti, AlexDipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di MilanoUNSPECIFIED
Date:2015
Journal or Publication Title:Experiments in Fluids
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:56:45
DOI :10.1007/s00348-015-1912-z
Page Range:pp. 1-22
Publisher:Springer
ISSN:0723-4864
Status:Published
Keywords:Pressure field reconstruction, Particle Image Velocimetry (PIV), Glowinski-Pironneau method
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:rotorcraft
DLR - Research area:Aeronautics
DLR - Program:L RR - Rotorcraft Research
DLR - Research theme (Project):L - The Virtual Aerodynamic Rotorcraft
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Helicopters
Deposited By: Micknaus, Ilka
Deposited On:18 Feb 2015 14:52
Last Modified:06 Sep 2019 15:25

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