| EPSRC Reference: |
GR/R94862/01 |
| Title: |
Mesh evolution in two and three space dimensions based upon geometric conservation laws |
| Principal Investigator: |
Jimack, Professor PK |
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| Department: |
Sch of Computing |
| Organisation: |
University of Leeds |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
28 May 2002 |
Ends: |
27 May 2005 |
Value (£): |
4,035
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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This project is concerned with the adaptive finite element (FE) solution of time-dependent partial differential equations (PDEs) using moving grid algorithms based upon the use of geomeric conservation laws (GCLs). In particular we are interested in problems involving moving boundaries, as modelled by certain nonlinear diffusion equations for example, where large displacements of these boundaries make ft desirable to use a moving, and possibly deforming, computational mesh. The idea behind a GCL is to allow the mesh to deform in such a way that the amount of a selected quantity, e.g. mass, remains constant on each element of the mesh. as the solution evolves.The aim of the proposal is to allow the investigators to collaborate with Em. Prof. M. J. Baines of the University of Reading in order to work on the development of the use of GCLs to drive moving grid algorithms in two and three space dimensions. This will be based mainly upon the solution of second order nonlinear diffusion model problems on triangular and tetrahedral meshes in two and three dimensions respectively, however we will also consider the extension of this work to a selection of further problems, including fourth order nonlinear diffusion equations (modelling lubrication for example), convection equations and simple blow-up problems.
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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.leeds.ac.uk |