Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 459, Issue 2031, Pages 547-565Publisher
ROYAL SOC
DOI: 10.1098/rspa.2002.0981
Keywords
low-dimensional flow modelling; Galerkin and nonlinear Galerkin projections; particle image velocimetry
Categories
Ask authors/readers for more resources
We present a new approach to simulating unsteady fluid flows, with only very few degrees of freedom, by employing directly eigenmodes extracted from digital particle image velocimetry experimental data. In particular, we formulate standard Galerkin and nonlinear Galerkin approximations of the incompressible Navier-Stokes equations using hierarchical empirical eigenfunctions extracted from an ensemble of flow snapshots. We demonstrate that standard Galerkin approaches produce simulations capable of capturing the short-term dynamics of the flow, but nonlinear Galerkin projections are more effective in capturing both the short- and long-term dynamics, leading to bounded solutions. These findings are documented by applying these approaches to flow past a stationary circular cylinder at Reynolds number 610.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available