TY - GEN
T1 - Approximating space-time flow statistics from a limited set of known correlations
AU - Towne, Aaron
AU - Yang, Xiang
AU - Lozano-Durán, Adrian
N1 - Funding Information:
This investigation was funded by the NNSA Predictive Science Academic Alliance Program II, grant no. DE-NA0002373.
Publisher Copyright:
© 2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.
PY - 2018
Y1 - 2018
N2 - We apply a method recently developed by Towne1 for approximating space-time flow statistics from a limited set of measurements to a channel flow at friction Reynolds number Reτ = 187. The method uses the known data to infer the statistics of certain nonlinear terms that act as a forcing on the linearized Navier-Stokes equations, which in turn imply values for the unknown flow statistics through application of the resolvent operator. Using input data at a wall-normal position of y+ = 37, accurate predictions of the velocity energy spectra and autocorrelations are obtained in the near-wall region, while significant under-predictions are observed further from the wall. Additional work is required to analyze the impact of the wall-normal location of the known input data and assess the performance of the method at higher Reynolds numbers.
AB - We apply a method recently developed by Towne1 for approximating space-time flow statistics from a limited set of measurements to a channel flow at friction Reynolds number Reτ = 187. The method uses the known data to infer the statistics of certain nonlinear terms that act as a forcing on the linearized Navier-Stokes equations, which in turn imply values for the unknown flow statistics through application of the resolvent operator. Using input data at a wall-normal position of y+ = 37, accurate predictions of the velocity energy spectra and autocorrelations are obtained in the near-wall region, while significant under-predictions are observed further from the wall. Additional work is required to analyze the impact of the wall-normal location of the known input data and assess the performance of the method at higher Reynolds numbers.
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U2 - 10.2514/6.2018-4043
DO - 10.2514/6.2018-4043
M3 - Conference contribution
AN - SCOPUS:85051286941
SN - 9781624105531
T3 - 2018 Fluid Dynamics Conference
BT - 2018 Fluid Dynamics Conference
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
T2 - 48th AIAA Fluid Dynamics Conference, 2018
Y2 - 25 June 2018 through 29 June 2018
ER -