A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator
Fluid Dynamics
2016-06-16 v1
Abstract
A novel reduced-order model for nonlinear flows is presented. The model arises from a resolvent decomposition in which the nonlinear advection terms of the Navier-Stokes equation are considered as the input to a linear system in Fourier space. Results show that Taylor-G\"ortler-like vortices can be represented from a low-order resolvent decomposition of a nonlinear lid-driven cavity flow. The present approach provides an approximation of the fluctuating velocity given the time-mean and the time history of a single velocity probe.
Keywords
Cite
@article{arxiv.1606.04735,
title = {A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator},
author = {F Gómez and HM Blackburn and M Rudman and AS Sharma and BJ McKeon},
journal= {arXiv preprint arXiv:1606.04735},
year = {2016}
}