On spectral linear stochastic estimation

2006 ◽  
Vol 41 (5) ◽  
pp. 763-775 ◽  
Author(s):  
C. E. Tinney ◽  
F. Coiffet ◽  
J. Delville ◽  
A. M. Hall ◽  
P. Jordan ◽  
...  
Keyword(s):  
Stochastic Estimation ◽  
Linear Stochastic Estimation

Characterization of acoustic sources in a corrugated pipe flow with linear stochastic estimation

2021 ◽  
Vol 150 (6) ◽  
pp. 4268-4282
Author(s):  
Gaëtan Galeron ◽  
Muriel Amielh ◽  
Pierre-Olivier Mattei
Keyword(s):  
Pipe Flow ◽  
Stochastic Estimation ◽  
Linear Stochastic Estimation ◽  
Acoustic Sources

scholarly journals Linear stochastic estimation of the coherent structures in internal combustion engine flow

2019 ◽  
Vol 21 (9) ◽  
pp. 1738-1749 ◽  
Author(s):  
Daniel Butcher ◽  
Adrian Spencer
Keyword(s):  
Internal Combustion Engine ◽  
Combustion Engine ◽  
Internal Combustion ◽  
Stochastic Estimation ◽  
Linear Stochastic Estimation ◽  
Reference Velocity ◽  
Current Cycle ◽  
Vortex Centre ◽  
Point Velocity ◽  
Sensor Locations

A methodology for estimating the in-cylinder flow of an internal combustion engine from a number of point velocity measurements (sensors) is presented. Particle image velocimetry is used to provide reference velocity fields for the linear stochastic estimation technique to investigate the number of point measurements required to provide a representative estimation of the flow field. A systematic iterative approach is taken, with sensor locations randomly generated in each iteration to negate sensor location effects. It was found that an overall velocity distribution accuracy of at least 75% may be achieved with 7 sensors and 95% with 35 sensors, with the potential for fewer if sensor locations are optimised. The accuracy of vortex centre location predictions is typically within 2–3 mm, suggesting that the presented technique could characterise individual cycle flow fields by indicating vortex locations, swirl magnitude or tumble, for example. With this information on the current cycle, a control system may be enabled to activate in-cycle adjustment of injection and/or ignition timing, for example, to minimise emissions.

scholarly journals Spurious PIV Vector Correction Using Linear Stochastic Estimation

Fluids ◽  
2019 ◽  
Vol 4 (3) ◽  
pp. 139 ◽  
Author(s):  
Daniel Butcher ◽  
Adrian Spencer
Keyword(s):  
Particle Image ◽  
Velocity Fields ◽  
Average Error ◽  
Stochastic Estimation ◽  
Linear Stochastic Estimation ◽  
Statistical Measures ◽  
Image Velocimetry ◽  
Significant Difference ◽  
Bicubic Interpolation

Techniques for the experimental determination of velocity fields such as particle image velocimetry (PIV) can often be hampered by spurious vectors or sparse regions of measurement which may occur due to a number of reasons. Commonly used methods for detecting and replacing erroneous values are often based on statistical measures of the surrounding vectors and may be influenced by further poor data quality in the region. A new method is presented in this paper using Linear Stochastic Estimation for vector replacement (LSEVR) which allows for increased flexibility in situations with regions of spurious vectors. LSEVR is applied to PIV dataset to demonstrate and assess its performance relative to commonly used bilinear and bicubic interpolation methods. For replacement of a single vector, all methods performed well, with LSEVR having an average error of 11% in comparison to 14% and 18% for bilinear and bicubic interpolation respectively. A more significant difference was found in replacement of clusters of vectors which showed average vector angle errors of 10°, 9° and 6° for bilinear, bicubic and LSEVR respectively. Error in magnitude was 3% for both interpolation techniques and 1% for LSEVR showing a clear benefit to using LSEVR for conditions that require multiple clustered vectors to be replaced.

Estimation of turbulent channel flow at  based on the wall measurement using a simple sequential approach

2017 ◽  
Vol 830 ◽  
pp. 760-796 ◽  
Author(s):  
Takao Suzuki ◽  
Yosuke Hasegawa
Keyword(s):  
Dynamical System ◽  
Kalman Filter ◽  
Channel Flow ◽  
Measurement Errors ◽  
Turbulent Channel Flow ◽  
The Body ◽  
Poor Correlation ◽  
Stochastic Estimation ◽  
Sequential Approach ◽  
Linear Stochastic Estimation

The unsteady flow estimation problem of wall-bounded turbulence, numerically benchmarked by Chevalier et al. (J. Fluid Mech., vol. 552, 2006, pp. 167–187), is re-tackled with simple approaches. A turbulent channel flow at $Re_{\unicode[STIX]{x1D70F}}=100$ with periodic boundary conditions is reconstructed with linear stochastic estimation only based on the wall measurement, i.e. the wall shear stress in the streamwise and spanwise directions as well as the wall pressure over the entire wavenumber space. The results reveal that instantaneous information on the wall governs the success of the estimation in the vicinity of the wall ($y^{+}\lesssim 20$). The degrees of agreement are equivalent to those reported by Chevalier et al. using the extended Kalman filter as well as the ensemble Kalman filter performed in this study. This suggests that the instantaneous information on the wall dictates the reconstruction rather than the prediction step in these state observers solving the dynamical system. Subsequently, we feed the velocity components given by the linear stochastic estimation via the body-force term into the Navier–Stokes system: such an observer slightly improves the estimation in the log layer, indicating a small benefit of involving a dynamical system but over-suppression of turbulent motions beyond the viscous sublayer due to their low correlation with the wall measurement. Errors in the estimation grow in the buffer layer and prevent further reconstruction toward the centreline even if we relax the feedback forcing and let the flow evolve nonlinearly through the observer. We also discuss the flow components truly reconstructible from the wall measurement, which has limited degrees of freedom and poor correlation across wavenumbers.

Linear stochastic estimation of optical beam deflection through a heated jet

1997 ◽  
Author(s):  
Timothy Luna ◽  
C. Truman ◽  
Bruce Masson ◽  
Timothy Luna ◽  
C. Truman ◽  
...  
Keyword(s):  
Optical Beam ◽  
Beam Deflection ◽  
Stochastic Estimation ◽  
Linear Stochastic Estimation ◽  
Heated Jet

Spectral Linear Stochastic Estimation of the Turbulent Velocity in a Square Three-Dimensional Wall Jet

2010 ◽  
Vol 132 (5) ◽  
Author(s):  
Joseph W. Hall ◽  
Daniel Ewing
Keyword(s):  
Large Scale ◽  
Three Dimensional ◽  
Turbulent Velocity ◽  
Stochastic Estimation ◽  
Wall Jet ◽  
Large Scale Structures ◽  
Square Channel ◽  
Linear Stochastic Estimation ◽  
Rapid Changes ◽  
Turbulent Velocity Field

The instantaneous turbulent velocity field in a three-dimensional wall jet was estimated from the fluctuating wall pressure using a spectral linear stochastic estimation technique. The wall jet investigated issued from a long square channel with Reynolds number of 90,000. Two downstream positions in the intermediate field were examined, x/h=10 and x/h=20, owing to the rapid changes in wall jet development over this region. The results indicate that the passage of the large-scale structures cause large, coherent lateral sweeps of fluid across the entire span of the wall jet. These sweeps are caused by the passage of half horseshoe-like structures and appear to be responsible for the larger lateral development of this flow.

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