| EPSRC Reference: |
EP/H008489/1 |
| Title: |
Nonlinear interfacial waves with a free surface |
| Principal Investigator: |
Parau, Professor EI |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mathematics |
| Organisation: |
University of East Anglia |
| Scheme: |
First Grant - Revised 2009 |
| Starts: |
22 March 2010 |
Ends: |
21 March 2012 |
Value (£): |
101,957
|
| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Non-linear Systems Mathematics |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
| Panel Date | Panel Name | Outcome |
|
03 Sep 2009
|
Mathematics Prioritisation Panel Sept 3rd 2009
|
Announced
|
|
|
Summary on Grant Application Form |
|
The stratification of fluids in layers of different densities is a well-known phenomenon in nature. Waves can propagate at the interface between two superposed layers. Examples are the interfacial waves which occur at a sharp interface between two layers of water of different densities due to the variation in salinity. There are experimental observations of the so-called ``dead-water'' effect in oceans and of narrow V-wakes behind the ships in synthetic-aperture radar (SAR) images, which may be explained by presence of the interfacial waves interacting with the free surface.Both the interface and the free surface are unknown, and have to be found as part of the solution. The problem of finding these interfaces belong to the class of free boundary problems, which occur in many physical and biological applications. The wave system at the interface or at the free surface is determined by a surface-wave mode and an internal-wave mode. The presence of the free surface was usually neglected when the interfacial waves were investigated. The nonlinear coupling between the free surface and interface makes the problem much more difficult. We will study different types of nonlinear waves which may exist when the free surface is not neglected. The effect of the surface tension and interfacial tension will also be considered and the existence of different types of solitary waves will be in particular investigated in two and three dimensions. Fully nonlinear codes will be developed to tackle these problems. Time-dependent algorithms are planned to be developed to explore the stability of different types of steady waves computed in two and three dimensions.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
http://www.uea.ac.uk/~h064/Interfacial/interf.html |
| Further Information: |
|
| Organisation Website: |
http://www.uea.ac.uk |