EPSRC logo

Details of Grant 

EPSRC Reference: GR/L78109/01
Title: A NUMERICAL STUDY OF COMBINED REFRACTION AND DIFFRACTION.
Principal Investigator: Chen, Professor K
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Statistics and Computational Mathematics
Organisation: University of Liverpool
Scheme: Standard Research (Pre-FEC)
Starts: 07 October 1998 Ends: 10 October 1998 Value (£): 930
EPSRC Research Topic Classifications:
Numerical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
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.
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:  
Further Information:  
Organisation Website: http://www.liv.ac.uk