Details of Grant 

EPSRC Reference:	EP/C515498/1
Title:	An efficient and time accurate explicit finite element scheme for viscoelastic flows on unstructured hybrid and adapted meshes
Principal Investigator:	Nithiarasu, Professor P
Other Investigators:	Weatherill, Professor N Morgan, Professor K Hassan, Professor O
Researcher Co-Investigators:
Project Partners:
Department:	College of Engineering
Organisation:	Swansea University
Scheme:	Standard Research (Pre-FEC)
Starts:	01 October 2005	Ends:	31 January 2009	Value (£):	177,033
EPSRC Research Topic Classifications:	Continuum Mechanics Fluid Dynamics Rheology
EPSRC Industrial Sector Classifications:	Manufacturing Food and Drink
Related Grants:
Panel History:
Summary on Grant Application Form
In this proposal a comprehensive computer modelling approach for viscoelastic flow problems has been proposed using the finite element method. The main objective is to develop an unstructured mesh based matrix free solution method for the solution of viscoelastic flow problems. The advantages of such a method are numerous including a natural environment to use multi-processor computers, small computer memory requirements and local and adaptive time steps to reduce the solution time. All these advantages lead to efficient and fast solution to complex viscoelastic flow problems. Several mesh generation approaches have also been proposed to study the suitability of the proposed methodologies. The exercises include the adaptive mesh generation based on solution error norms and error indicators and hybrid meshing. These mesh generation methods will shed some light to determine the way of efficiently solving large scale viscoelastic flow problems and give us a greater flexibility in dealing with well known difficulties such as extra stress boundary layers. It is also proposed that the developed methodology will be extended to solve viscoelastic free surface flows. An ALE based approach with a differential equation based mesh moving method is proposed to efficiently tackle the free surface flows. Once all the methods are in place, a complex problem of viscoelastic flow through a single screw extruder will be studied in detail using unstructured and adapted meshes. In addition, several benchmark problems of interest to researchers and industry including 4 to one contraction, flow past a cylinder and falling sphere are also proposed.
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Organisation Website:	http://www.swan.ac.uk