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Reconstruction of turbulent flow fields from lidar measurements using large-eddy simulation

Published online by Cambridge University Press:  13 November 2020

Pieter Bauweraerts  and
Johan Meyers Open the ORCID record for Johan Meyers [Opens in a new window]
Pieter Bauweraerts
Affiliation:
Department of Mechanical Engineering, KU Leuven, Celestijnenlaan 300A, B3001 Leuven, Belgium
Johan Meyers*
Affiliation:
Department of Mechanical Engineering, KU Leuven, Celestijnenlaan 300A, B3001 Leuven, Belgium
*
†Email address for correspondence: johan.meyers@kuleuven.be
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Abstract

We investigate the reconstruction of a turbulent flow field in the atmospheric boundary layer from a time series of lidar measurements, using large-eddy simulations (LES) and a four-dimensional variational data assimilation algorithm. This leads to an optimisation problem in which the error between measurements and simulations is minimised over an observation time horizon. We also consider reconstruction based on a Taylor's frozen turbulence (TFT) model as a point of comparison. To evaluate the approach, we construct a series of virtual lidar measurements from a fine-grid LES of a pressure-driven boundary layer. The reconstruction uses LES on a coarser mesh and smaller domain, and results are compared to the fine-grid reference. Two lidar scanning modes are considered: a classical plan-position-indicator mode, which swipes the lidar beam in a horizontal plane, and a three-dimensional pattern that is based on a Lissajous curve. We find that normalised errors lie between $15\,\%$ and $25\,\%$ (error variance normalised by background variance) in the scanning region, and increase to $100\,\%$ over a distance that is comparable to the correlation length scale outside this scanning region. Moreover, LES outperforms TFT by 30 %–70 % depending on scanning mode and location.

JFM classification

Turbulent Flows: Turbulent boundary layers Geophysical and Geological Flows: Atmospheric flows Mathematical Foundations: Computational methods

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JFM Papers
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Journal of Fluid Mechanics , Volume 906 , 10 January 2021 , A17
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© The Author(s), 2020. Published by Cambridge University Press

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References

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