Engineering and Physical Sciences Research

 

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Telephone +44 (0) 1793 444000. Internet http://www.epsrc.ac.uk

 

 

INDIVIDUAL GRANT REVIEW FORM (Fellowships)  

 

Grant Reference

SF/000169

Organisation

University of Durham

 

FELLOWSHIP DETAILS

 

Title

Professor

Forename(s)

Peter

Surname

Bettess

Organisation

University of Durham

Division or Department

School of Engineering

 

PROJECT DETAILS

 

Grant Title

Development of Special Finite and Infinite Elements for Diffraction of Very Short Waves

 

Salary Funds Awarded (£)

£231,866

Start Date:

01/10/00

Fellowship Support Fund (£)

     

End Date:

30/09/04

Total Grant Value (£)

£231,866

 

 

OBJECTIVES

 

Original objectives as presented in the proposal

1. The development of necessary theory and algorithms for finite and infinite elements which can model short waves in exterior and interior problems, in which mesh fineness is independent of the wave length, an incorporating adaptivity and error indicators.

2. Solve a range of searching and realistic short wave problems in two and three dimensions, drawn from the fields of surface waves on water, acoustics and electro-magnetics

 

These objectives remained valid throughout the Fellowship (tick box), or             

These objectives were changed  (tick box).                                                                  

 

New objectives

The original objectives remain in force, though not all were met.  Additional objectives are

3.  The development of the necessary theory and algorithms for special wave boundary elements, as in 1 above

4  The development of the necessary theory and algorithms for special wave finite elements for cases where there are:

   a Local linear changes in wave speed

   b Jumps in the wave speed

5  Apply finite and infinite element methods to Schroedinger's wave equation in quantum mechanics

6  Edit Theme Issue on wave scattering for Philosophical Transactions of the Royal Society

 

FELLOWSHIP SUMMARY

 

Fellowship summary at time of proposal

Waves are extremely important in many fields, including Geophysics, acoustics, sonar, radar, noise and surface waves on water.  Although engineers have many tools for predicting wave behaviour, it becomes very difficult to resolve the details of wave fields when the waves are very short.  This is of particular significance in electro-magnetic waves and radar, where the waves hitting an object 10s of metres across may themselves be only millimetres long.  Such resolution is many orders of magnitude beyond the most powerful computers currently available.  The proposed research is intended to extend finite and infinite element methods of modelling such wave behaviour so that short waves can be predicted in detail.  Various methods will be used, but essentially all resolve down to building more of our knowledge of the wave behaviour into the finite and infinite elements, so that they are more efficient.  The benefits are enormous, from better prediction of wave transmission through rock and thus more accurate determination of hydrocarbon reserves to better prediction of the acoustics of buildings, less noisy vehicles, and the accurate prediction of radar cross sections.  The results and algorithms would be applicable in many other fields.    

 

Summary of project outcomes (for non-specialist audience)

Special wave finite elements were developed for the problems described above.  These elements require a very computer intensive integration process.  This process was greatly speeded up by the introduction of special integration software for the elements.  The resulting elements were used in a computer program to predict short wave effects, such as the scattering of waves by a cylinder.  The development of similar infinite elements did not progress well and the results were meagre.  Such infinite elements as were developed gave inexplicably poor results.  However, outwith the scope of the original proposal, special boundary elements were developed using the idea of incorporating plane waves into the element.  This worked very well.  The new improved boundary elements typically reduced errors by a factor of 10 million, for a given problem frequency, while using the same number of equations as conventional boundary elements.  Other peripheral outcomes were the development of the theory for problems where the wave speed varies, either linearly or in jumps.  For the latter case, results were produced, demonstrating high accuracy for low computational cost.  Some work was done on applying this methods to Schroedinger's equation in quantum mechanics

Web address with further details if you wish:       

 

 

BENEFICIARIES

 

Intended beneficiaries at time of proposal

The benefits will be very widely spread.  The work will enable  better simulation and design in range of fields which use short waves.  To give a few examples, better modelling of short waves would lead to better Geophysical prospecting and location of hydrocarbon reserves, better modelling of high frequency acoustics and better design of vehicles, to reduce noise, better loudspeakers etc., better modelling of short surface waves on water.  The range of beneficiaries is very wide and the economic importance is huge. 

 

OUTCOMES OF THE FELLOWSHIP

 

Major benefits of  EPSRC Fellowships include i) the potential to impact positively on the careers of individual Fellows and

                                                                     ii) the research results.

 

FELLOW

 

 

Details of career advancement that may be attributed to the Fellowship – please ensure that this aspect is addressed in the narrative Review Report that must accompany this form. In particular, if your career progression during the Fellowship included one or more moves into new employment, please provide brief details, listing employer and position held.


RESEARCH RESULTS

 

Publications

(1)     Please state how many research results arose principally as a result of the research funded through this grant and indicate the type (journal, conference, book, patent, software, other)

 

 

JOURNAL

CONFERENCE PAPERS

BOOK

PATENT

SOFTWARE

OTHER

Total Number of Publications

24

16

3(chapters)

     

     

     

Number of Refereed Publications (if different from above)

24

16

3(chapters)

     

     

     

Number of Publications That Contain An Industrial Co‑Author

1

1

     

     

     

     

Number of Publications That Contain An International Co‑Author

6

2

     

     

     

     

 

(2)       Please list up to five significant publications that arose principally as a result of the research funded through this grant and indicate the type (journal, conference, book, patent, software, other); whether there was an international or industrial co-author and whether the publication was refereed.

 

AUTHOR(S)

TITLE

REFERENCE

TYPE

Refereed?

Industrial co‑author?

International co-author?

Journal/Conf.

year

vol.

page

Laghrouche O, Bettess P and Astley RJ

Modelling of short wave diffraction problems using approximating systems of plane waves

International Journal for Numerical Methods in Engineering

2002

54

1501 - 1533

Journal

Bettess P, Shirron J, Laghrouche O, Pesux B, Sugimoto R and Trevelyan J

A numerical integratin scheme for special finite elements for the Helmholtz equation

International Journal for Numerical Methods in Engineering

2003

56

531 - 552

Journal

Bettess P and Abram RA

Finite and infinite elements for a simple problem in quantum mechanics

Communications in Numerical Methods in Engineering

2002

18

325 - 334

Journal

Perrey-Debain E, Trevelyan J and Bettess P

Plane wave approximation in direct collocation boundary element method for radiation and wave scattering: numerical aspects and applications

Journal of Sound and Vibration

2003

261

839 - 858

Journal

Perrey-Debain E, Laghrouche O, Trevelyan J and Bettess P

Plane wave basis finite elements and boundary elements for three dimensional wave scattering

Philosophical Transactions of the Royal Society of London, A

2004

362

561 - 577

Journal

 


Other Results of the Fellowship

Please indicate the timescale for potential exploitation (e.g. achieved, expected within 3 years, expected within 10 years, none foreseeable in 10 years) and include patent nos., dates, company names and addresses etc. as appropriate, in the ‘details’ and ‘reference’ columns. 

 

 

 

DETAILS

REFERENCE

TIMESCALE

Licences or Patents

     

     

     

Spin Off Company

     

     

     

Direct Consultancy

     

     

     

Industrial Training Courses

     

     

     

Public Understanding of Science and Engineering

     

     

     

Other (please specify)

     

     

     

 

 

Related Support Awarded / Pending

 

Please indicate the level of research support that has arisen principally as a result of the Fellowship. 

 

FUNDING SOURCE

DETAILS

SUPPORT (£)

EPSRC (from start of Fellowship)

Development of special boundary elements for diffraction of very short waves, PI Dr. Jon Trevelyan Grant number GR/N09879

 

EPSRC Grant GR/R50400/01 Development of special finite elements for Electromagnetic scattering of very short waves, co-investigator Dr. Jon Trevelyan, collaborators BAE Systems, Bristol, University of Wales, Swansea

 

Adaptivity and Integration Schemes in the Plane Wave Basis BEM, PI Dr. Jon Trevelyan

 

£135,087

 

 

£207,533

 

 

 

£145,586

Other UK Research Council

     

     

Other UK Government

     

     

UK Industrial

BAE Support in kind, see above

     

UK Other

     

     

European Commission

Alliance Grant, administered by British Council, for exchanges with Ecole Centrale de Nantes. (Two grants of £3000 and £2,500).

£5,500

Other Industrial

     

     

Other Non-Industrial

     

     

Pending

     

     


 

GRANT ADDITIONAL/SPECIFIC CONDITIONS AND INFORMATION

 

Additional and Specific Conditions/Information

     

SPECIFIC INFORMATION

 

     

     

 

Signatures:

 

Fellow

Head of Department

Administration Authority

 

 

 

Date:

Date:

Date:

 

COMPLIANCE WITH THE DATA PROTECTION ACT 1998

 

In accordance with the Data Protection Act 1998, the personal data provided on this form will be processed by EPSRC, and may be held on computerised databases and/or manual files.

 

This information will be used for administration, management purposes and statutory returns, and contact information may be published on the EPSRC external web site alongside details of grants/awards made. The information may also be made available to organisers of EPSRC related courses/conferences.

 

The information held will be retained for no longer than necessary.

 

If you have any queries regarding this statement please contact the Data Protection Officer for EPSRC, telephone 01793/444100.

 


 

 

IGR SELF ASSESSMENT (Fellowships)

 


 

 

Grant Reference: SF/000169

Project Title:  Development of special finite and infinite elemnets for diffraction of very short waves

 

 

This sheet is an integral part of the Individual Grant Review (Fellowships) Form and should be returned with it.

Fellow: Professor Peter Bettess

Organisation:  University of Durham

 

 

Please note that your self-assessment form will be forwarded to the external assessors.  If, in the context of this particular grant, you consider one or more of the assessment criteria “not applicable” please tick the relevant box. Please indicate, in the box provided, your perception of the importance of each assessment criteria in relation to the objectives of the project

(H=High, M=Medium, L=Low).

 

Assessment

 

Criterion

Not Applicable

 

Unsatisfactory

 

 

Tending to

ç

 

National

standing

 

Tending to

è

 

Internationally leading

 

 

Relevance to the Project H/M/L

Research Quality

 

 

H

Research Planning and Practice

 

H

Potential Scientific Impact

 

 

H

 

Assessment

 

Criterion

Not Applicable

 

Unsatisfactory

 

 

Tending to

ç

 

Good

 

 

Tending to

è

 

Outstanding

 

 

 

Relevance to the Project H/M/L

Impact of the

Fellowship on your

Prospects / Plans

 

L

Your Standing in

the Research

Community

 

H

Potential Benefits to Society

 

H

Public Awareness

Role Fulfilment

 

L

 

Please highlight, in your narrative report, what you consider to be the single most valuable outcome of the Fellowship.