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| EPSRC Reference: |
GR/R25453/01 |
| Title: |
Adaptive Techniques For Computational Solution of 3-D Surface-Tension Dominated Free-Surface Flow Problems |
| Principal Investigator: |
Professor PK Jimack |
| Other Investigators: |
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| Researcher Co-investigator: |
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| Project Partner: |
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| Department: |
Sch of Computing |
| Organisation: |
University of Leeds |
| Scheme: |
Standard Research |
| Starts: |
01 July 2001 |
Ends: |
31 December 2004 |
Value (£): |
148,439
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Fluid Dynamics |
| Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
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| Related Grants: |
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| Panel History: |
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Summary |
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The purpose of this work is to develop efficient and reliable adaptive finite element techniques for the solution of quite general transient three dimensional free surface flow problems, and to apply these techniques to the solution of a number of fundamentally important, surface tension dominated, engineering flow problems. The work will build upon the diverse and compatible expertise of the investigators in both fluid mechanics and computation algorithms to develop a new finite element solver which follows the evolution of the fluid suing an arbitrary lagrangian-eulerian (ALE) approach. This will use both continuous and discrete remeshing involving both local and flobal adaptivity. A highly accurate representation of the domain boundary will be maintained in order to ensure the accurate implementation of the the free-surface boundary conditions which describe the critical infuence of surace tension. A series of test simulations will be undertaken to validate the ongoing work against experimental, analytical and other numerical results ( the later two being based upon lubrication apporximations in the thin-film limit). This will lead onto the simulation of more demanding flow problems which will require the full power of our three-dimensional navier-stokes solver. These problems will include spreading liquies over non-smooth surfaces and micro-fluidic devices.
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| Final Report Summary |
The purpose of this work is to develop efficient and reliable adaptive finite element techniques for the solution of quite general transient three dimensional free surface flow problems, and to apply these techniques to the solution of a number of fundamentally important, surface tension dominated, engineering flow problems. The work will build upon the diverse and compatible expertise of the investigators in both fluid mechanics and computation algorithms to develop a new finite element solver which follows the evolution of the fluid suing an arbitrary lagrangian-eulerian (ALE) approach. This will use both continuous and discrete remeshing involving both local and flobal adaptivity. A highly accurate representation of the domain boundary will be maintained in order to ensure the accurate implementation of the the free-surface boundary conditions which describe the critical infuence of surace tension. A series of test simulations will be undertaken to validate the ongoing work against experimental, analytical and other numerical results ( the later two being based upon lubrication apporximations in the thin-film limit). This will lead onto the simulation of more demanding flow problems which will require the full power of our three-dimensional navier-stokes solver. These problems will include spreading liquies over non-smooth surfaces and micro-fluidic devices.
Revised Summary of Outcomes
The outcomes of this project include: a robust, adaptive solver for the accurate simulation of surface-tension-dominated free-surface flow problems; significant contributions regarding the combination of moving grid and discrete remeshing techniques for incompressible flows; the ability to compute a range of fundamental free-surface simulations from droplet formation to coating and spreading problems, and; the validation of our work against results from experiment and lubrication theory. We are currently in the process of using our computation tools in three dimensional to quantify the range of accuracy of codes that we have simultaneously developed using lubrication approximations, and are about to apply these tools and experiences in a new EPSRC-funded project that is studying three-dimensional visco-elastic flow.
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| Further Information: |
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| Organisation Website: |
http://www.leeds.ac.uk |
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