| EPSRC Reference: |
GR/L78109/01 |
| Title: |
A NUMERICAL STUDY OF COMBINED REFRACTION AND DIFFRACTION. |
| Principal Investigator: |
Chen, Professor K |
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| Department: |
Statistics and Computational Mathematics |
| Organisation: |
University of Liverpool |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
07 October 1998 |
Ends: |
10 October 1998 |
Value (£): |
930
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The proposed research is in an important area of numerical mathematics new methods for solving partial differential equations. The main aim of the proposed visits is the development of new and unified methods for the efficient solution of the mild slope equation, modelling wave refraction and diffraction. Previous work has been concentrated on an internal structure and assumptions of the water depths (either non-zero or zero everywhere). Here we consider the general case of several internal boundaries present and general water depth profiles. In this study, the mild slope equation in an inner domain and the Helmholtz equation in an outer infinite domain are coupled. For simple cases, it has been found that the boundary element method outperforms the finite element method in terms of resolutions and number of unknowns. We hope to achieve the same result for the general case.
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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.liv.ac.uk |