Deconstructing and Reconstructing Wall Turbulence Using a “Linear” Template
The systems analysis of turbulent pipe flow proposed by McKeon & Sharma (J. Fluid Mech, 2010) provides a simple model by which to understand both qualitative and quantitative aspects of the structure of wall turbulence. In this talk I will expand the approach, describing its mathematical foundations and the benefits of deconstructing the full turbulence field into a linear combination of (interacting) modes. I will then demonstrate that our model can be used to (re)construct known features, yielding important predictive information about the statistical and structural make-up of wall turbulence. Implications for both the classical picture of wall turbulence and control of turbulent flows will be discussed.