Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published August 1, 2017 | Submitted
Report Open

Nonlinear forcing in the resolvent analysis of exact coherent states of the Navier-Stokes equations

Abstract

The resolvent analysis of McKeon & Sharma (2010) recasts the Navier-Stokes equations into an input/output form in which the nonlinear term is treated as a forcing that acts upon the linear dynamics to yield a velocity response. The framework has shown promise with regards to producing low-dimensional representations of exact coherent states. Previous work has focused on a primitive variable output; here we show a velocity-vorticity formulation of the governing equations along with a Helmholtz decomposition of the nonlinear forcing term reveals a simplified input/output form in the resolvent analysis. This approach leads to an improved method for compact representations of exact coherent states for both forcing and response fields, with a significant reduction in degrees of freedom in comparison to the primitive variable approach.

Additional Information

The authors gratefully acknowledge AFOSR (grant FA 9550-16-1-0361) for the financial support of this work and M.D. Graham and J.S. Park for providing the ECS data.

Attached Files

Submitted - 1705.10824.pdf

Files

1705.10824.pdf
Files (683.0 kB)
Name Size Download all
md5:4e02b92044eca11c1cdc8f33d775f745
683.0 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 26, 2023