Lyapunov stable Galerkin models of post-transient incompressible flows
Fluid Dynamics
2013-12-03 v1
Abstract
A method for deriving provably stable low-dimensional Galerkin models of post-transient incompressible flows is introduced. The proposed approach involves an iterative procedure for expansion modes that satisfy Lyapunov stability in the neighborhood of a fixed point. The approach is demonstrated using two prototypical flow configurations: a two-dimensional mixing layer, and two-dimensional flow inside a lid-driven cavity. This new methodology can be a building block in an effort to develop more accurate and more robust low-dimensional models of incompressible flows.
Keywords
Cite
@article{arxiv.1312.0284,
title = {Lyapunov stable Galerkin models of post-transient incompressible flows},
author = {Maciej Balajewicz},
journal= {arXiv preprint arXiv:1312.0284},
year = {2013}
}