Global Two-Scalar Velocimetry and Development of Low-Order Models for Use in Optical-Phase Correction in a Plane Mixing Layer

摘要

Work was conducted on two projects related to control of shear flows. In the first, two-dimensional simulations were performed to study the effects of resolution on the extraction of velocity data from measurements of scalar fields in incompressible flows. That work demonstrates 'proof-of concept' for the methodology described in earlier work supported by AFOSR. In the second, we developed a general-purpose algorithm for computing all solutions of an arbitrary system of multivariate polynomial equations. That work constitutes the basis of a technique for determining the coefficients in low-order models of scalar transport in turbulent shear flows. The polynomial root-finder has been applied to con construction of low-order models of scalar transport in a turbulent plane mixing layer.