Hierarchy of Hybrid Unsteady-Flow Simulations Integrating Time-Resolved PIV/PTV with Unsteady CFD

Hybrid simulation techniques integrating time-resolved PIV with unsteady CFD can provide i) a set of flow quantities satisfying the governing equations temporally and spatially ii) possibly including unsteady pressure fields iii) with resolution comparable to CFD and iv) noise levels substantially lower than those of the original PIV data. We compare hybrid algorithms combining PTV (particle tracking velocimetry) and DNS with three different degrees of fidelity: the POD–Galerkin-projection approach, the proportional feedback of time-resolved PTV data, and the feedback based on the extended Kalman filter. By solving a planar-jet problem as an example, we analyze the temporaland spatial-filtering functions as well as the accuracy of velocity and pressure fields reconstructed from the PTV data. The results demonstrate that we can lower the measurement-noise levels and improve the accuracy/replicability by increasing the computational cost.

[1]  Joseph Katz,et al.  Instantaneous pressure and material acceleration measurements using a four-exposure PIV system , 2006 .

[2]  Hiroshi Sato,et al.  The stability and transition of a two-dimensional jet , 1960, Journal of Fluid Mechanics.

[3]  Fujio Yamamoto,et al.  Unsteady PTV velocity field past an airfoil solved with DNS: Part 2. Validation and application at Reynolds numbers up to Re ≤ 104 , 2009 .

[4]  C. Schnörr,et al.  Variational estimation of experimental fluid flows with physics-based spatio-temporal regularization , 2007 .

[5]  Dan S. Henningson,et al.  Early turbulent evolution of the Blasius wall jet , 2006 .

[6]  Clarence W. Rowley,et al.  Integration of non-time-resolved PIV and time-resolved velocity point sensors for dynamic estimation of velocity fields , 2013 .

[7]  F. Scarano,et al.  Navier–Stokes simulations in gappy PIV data , 2012 .

[8]  B. W. Oudheusden,et al.  PIV-based pressure measurement , 2013 .

[9]  Ulrich Rist,et al.  Spatial resolution enhancement/smoothing of stereo–particle-image-velocimetry data using proper-orthogonal-decomposition–based and Kriging interpolation methods , 2007 .

[10]  Yuichi Murai,et al.  Particle tracking velocimetry applied to estimate the pressure field around a Savonius turbine , 2007 .

[11]  Dilek Funda Kurtulus,et al.  Unsteady aerodynamic forces estimation on a square cylinder by TR-PIV , 2007 .

[12]  Takao Suzuki,et al.  Instability waves in a low-Reynolds-number planar jet investigated with hybrid simulation combining particle tracking velocimetry and direct numerical simulation , 2010, Journal of Fluid Mechanics.

[13]  Dara W. Childs Discussion: “Static and Dynamic Characteristics of Turbulent Annular Eccentric Seals: Effect of Convergent-Tapered Geometry and Variable Fluid Properties” (Simon, F., and Frene, J., 1989, ASME J. Tribol., 111, pp. 378–384) , 1989 .

[14]  T. Corpetti,et al.  Fluid experimental flow estimation based on an optical-flow scheme , 2006 .

[15]  Takao Suzuki Reduced-order Kalman-filtered hybrid simulation combining particle tracking velocimetry and direct numerical simulation , 2012, Journal of Fluid Mechanics.

[16]  Takao Suzuki POD-based reduced-order hybrid simulation using the data-driven transfer function with time-resolved PTV feedback , 2014 .

[17]  Takao Suzuki,et al.  Unsteady PTV velocity field past an airfoil solved with DNS: Part 1. Algorithm of hybrid simulation and hybrid velocity field at Re ≈ 103 , 2009 .

[18]  George Em Karniadakis,et al.  Wave–structure interaction: simulation driven by quantitative imaging , 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[19]  Daniele Venturi,et al.  Gappy data and reconstruction procedures for flow past a cylinder , 2004, Journal of Fluid Mechanics.

[20]  Shigeru Sunada,et al.  Airfoil Section Characteristics at a Low Reynolds Number , 1997 .

[21]  Fulvio Scarano,et al.  Lagrangian and Eulerian pressure field evaluation of rod-airfoil flow from time-resolved tomographic PIV , 2011 .

[22]  Etienne Mémin,et al.  Dynamic consistent correlation-variational approach for robust optical flow estimation , 2008 .

[23]  Masaru Hirata,et al.  Three-Dimensional Particle Tracking Velocimetry Based on Automated Digital Image Processing , 1989 .

[24]  L. Alvarez,et al.  Variational second order flow estimation for PIV sequences , 2008 .

[25]  Toshiyuki Hayase,et al.  Effect of Feedback Data Rate in PIV Measurement-Integrated Simulation* , 2008 .

[26]  P. Schmid,et al.  Dynamic mode decomposition of numerical and experimental data , 2008, Journal of Fluid Mechanics.

[27]  P. Moin,et al.  Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations , 1984 .

[28]  Timo Kohlberger,et al.  Variational optical flow estimation for particle image velocimetry , 2005 .

[29]  G. Karniadakis,et al.  DPIV-driven flow simulation: a new computational paradigm , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[30]  Joel Delville,et al.  Polynomial identification of POD based low-order dynamical system , 2006 .

[31]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[32]  Nathan E. Murray,et al.  An application of Gappy POD , 2006 .