Conference Proceedings

Estimation of coherent large-scale structures using the linearized Navier-Stokes equations

A Madhusudanan, SJ Illingworth, I Marusic

Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018 | Published : 2018

Abstract

© 2018 Australasian Fluid Mechanics Society. All rights reserved. We use the Navier-Stokes equations linearized about the turbulent mean velocity profile to estimate the instantaneous velocity field and 2-D energy spectrum of a turbulent channel flow at a friction Reynolds number of Reτ = 2000. Spectral linear stochastic estimation is used to build the estimator. The estimator takes as input the instantaneous streamwise velocity field (u) or the two-dimensional (2-D) energy spectrum of u at one wall-normal location to provide the estimate of the same quantity at a different wall-normal location. Estimators built using two variations of the linear model are considered here: i) LNS, where the ..

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