| EPSRC Reference: |
GR/S95572/01 |
| Title: |
On the Development of Meshless Methods for the Modelling of Compressible Fluid Flow |
| Principal Investigator: |
Levesley, Professor J |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Leicester |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 June 2004 |
Ends: |
31 May 2007 |
Value (£): |
135,692
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Mathematical Analysis |
| Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Currently, the most widely used methods for solving partial differential equations are the finite element, finite volume, and finite difference methods. These depend on a subdivision of the computational domain into small non-overlapping subdomains, called a mesh. In situations which evolve over time the generation of meshes can be extremely challenging. In this reseach proposal we consider an alternative approach; the use of a meshless method. Here, the solution of the differential equation is discretised into blobs, and the numerical method follows the blobs via the physical principles which have given rise to the original partial differential equation. Such methods, such as Smoothed Particle Hydrodynamics and Vortex Method, already exist, but suffer from various pitfalls. Our aim is to implement new numerical methods which aim to ameliorate the problems currently present in these meshless methods.The research will be carried out at the University of Leicester, where there is currently expertise in the numerical solution of the PDEs for compressible fluid flow, and for approximation using radially symeetric fluid blobs. There is an active group of researchers in Astronomy using SPH for the solution of a variety of astrophysical problems, and this application is genuinely multidisciplinery in character. The partcular physicist, Stephan Rosswog, who has had most input into the development of this proposal is moving to the International University of Bremen, so part of the application is for Rosswog to visit Leicester and for the postdoctoral fellow to visit Rosswog in Bremen.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.le.ac.uk |