title: Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model
creator: Georgiev, Dian J.
creator: Roberts, A. J.
creator: Strunin, Dmitry V.
subject: 240502 Fluid Physics
subject: 230113 Dynamical Systems
description: In shallow turbulent flows such as floods and tsunami vertical mixing tends to smooth out the flow characteristics in cross-sectional direction. The evolution of the average cross-flow characteristics presents considerable  interest. We model such flows using the k-omega model of turbulence in the framework of the centre manifold theory. We tested the approach on an artificial diffusion problem for which an exact analytical solution is derived. Then we  apply the method to model the turbulent flows and deduced the evolution equations for the average velocity, turbulent energy and its rate of dissipation.
publisher: American Institute of Mathematical Sciences
date: 2007-09
type: Article (DEST Category C)
type: PeerReviewed
format: application/pdf
identifier: http://eprints.usq.edu.au/3644/2/Georgiev_Roberts_Strunin_2007_Authorversion.pdf
relation: http://aimsciences.org/journals/pdfs.jsp?paperID=2848&mode=full
identifier: Georgiev, Dian J. and Roberts, A. J. and Strunin, Dmitry V. (2007) Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model. Discrete and Continuous Dynamical Systems Supplements, 2007 (Special). pp. 419-428. ISSN 1078-0947
relation: http://eprints.usq.edu.au/3644/