Details of Grant 

EPSRC Reference:	GR/R13623/01
Title:	Chaotic Advection In Oscillatory Shallow Flows
Principal Investigator:	Borthwick, Professor AGL
Other Investigators:	Taylor, Professor PH
Researcher Co-Investigators:
Project Partners:
Department:	Engineering Science
Organisation:	University of Oxford
Scheme:	Standard Research (Pre-FEC)
Starts:	01 October 2001	Ends:	30 September 2004	Value (£):	53,395
EPSRC Research Topic Classifications:	Coastal & Waterway Engineering
EPSRC Industrial Sector Classifications:	Environment Water No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
This proposal is to fund a doctoral student to investigate chaotic advection in oscillatory environmental flows. Advective particle trajectories in quite simple oscillatory flows can describe extremely complex patterns (see e.g. Ottino 1997). This project will involve the development of accurate and efficient numerical models of passive and active tracer motions in advecting shallow flows. A novel Godunov-type shallow flow solver will be developed based on a new formulation of the hyperbolic matrix shallow water equations that properly balances flux gradient and source terms. For wave flows over ripples and tidal flows, the appropriate stream function and vorticity transport equations will be solved in curvilinear form. Intensive validation tests will be undertaken to assess accuracy and computational efficiency. The coupled flow and particle tracking models will be applied to typical environmental flows, including the motions of suspended particles (sediment and micro-organisms) due to wind-induced circulation in a shallow basin, sand transport over a rippled bed, and effluent plume evolution in a tidal flow. In all cases, the non-linear advection processes will be examined using Poincar plots, locations of stable and unstable manifolds, time-dependent motions of particle ensembles and estimates of the growth in mean distances between particles.
Key Findings
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Potential use in non-academic contexts
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Impacts
Description This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk Summary Date Materialised
Sectors submitted by the Researcher
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Project URL:
Further Information:
Organisation Website:	http://www.ox.ac.uk