Modeling flow statistics using the linearized Navier-Stokes equations

Mihailo Jovanovic, Bassam Bamieh

Research output: Contribution to journalConference articlepeer-review

32 Scopus citations

Abstract

We develop a model for second order statistics of turbulent channel flow using an associated linear stochastically forced input-output system. The correlation operator of the velocity fields is computed by solving the appropriate Lyapunov equations of a Galerkin approximation of the original system. We use a variety of excitation force correlations and show the dependence of the velocity fields statistics on them. By using certain excitation correlations, we are able to closely match flow statistics computed from Direct Numerical Simulation (DNS) of channel flow. The implications of these result for the proper weight selection in optimal control problems for channel flow are discussed.

Original languageEnglish (US)
Pages (from-to)4944-4949
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume5
StatePublished - Dec 1 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 7 2001

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