| EPSRC Reference: |
GR/S47786/01 |
| Title: |
Nonlinear three dimensional free surface flows with gravity and surface tension |
| Principal Investigator: |
Vanden-Broeck, Professor J |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
University of East Anglia |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 2003 |
Ends: |
30 September 2006 |
Value (£): |
145,996
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Non-linear Systems Mathematics |
| Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| Transport Systems and Vehicles |
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| Related Grants: |
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| Panel History: |
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Summary on Grant Application Form |
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Free boundary problems occur in the modelling of many physical and biological problems. Here a free boundary refers to a boundary whose shape i not known a priori. Examples are growing tumors and ice cream melting. We concentrate on free surface flows. The mathematical formulation of such problems involve complex systems of nonlinear integao-differential equations for which progress has mainly been achieved for two-dimensional andaxisymmetric configurations. Not only are there few three-dimensional studies but they usually ignore surface tension.We propose to study fully three-dimensional free surface flows with the effect of gravity and surface tension included. Both steady and unsteady flow will be considered. Surface tension is important when studying free surface flows generated by small objects such as insects and probes. It also plays an important role in the theory of water waves. We plan as part of the study to investigate numerically the possible existence of isolated three-dimensional gravity capillary solitary waves (analytical work on their existence is still tantalisingly inconclusive).The intended RA is Emilian Parau. Under previous EPSRC funding Parau and Vanden-Broeck developed a new efficient boundary integral equation method for three-dimensional steady gravity free surface flows. Parau has also experience with different free boundary problems (flows under ice sheets and jets). He is therefore ideal for the position. Although he has a strong commitment to take the RA, should it be awarded, other candidates are known to the Pls.
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Key Findings |
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Potential use in non-academic contexts |
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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.uea.ac.uk |