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Details of Grant 

EPSRC Reference: GR/R92646/01
Title: High order fluctuation spllitting schemes for time-dependant applications.
Principal Investigator: Hubbard, Professor M
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Computing
Organisation: University of Leeds
Scheme: Fast Stream
Starts: 01 January 2003 Ends: 31 December 2005 Value (£): 61,836
EPSRC Research Topic Classifications:
Continuum Mechanics Numerical Analysis
EPSRC Industrial Sector Classifications:
Environment No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
Computational simulation models are being applied to problems of rapidly increasing complexity in the field of computational fluid dynamics. Current models have so far been adequate for the needs of industry but they have known shortcomings, particularly when approximating multidimensional fluid flows. Over the last fifteen years, a new family of numerical methods, now known as fluctuation splitting methods, has been developed with a view to addressing many of the perceived problems, and in the last couple of years they have reached a stage in their maturity where they can be applied confidently to very complex flow problems, e.g. transcritical flow around a complete aircraft geometry. The methods are robust and very accurate, but only for steady state problems.More recently, the focus of research has moved towards the application of these methods to time-dependent situations, with limited success. Many ideas have been proposed, but none has been wholly satisfactory. The aim of this project is to survey these techniques, including one developed by the Principal Investigator, and extend them to approximate shallow water flows, leading eventually to a complete model which can repeat the success of the steady state schemes for realistic time-dependent applications in meteorology or hydraulic/coastal engineering.
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Organisation Website: http://www.leeds.ac.uk