| EPSRC Reference: |
GR/M17679/01 |
| Title: |
DIFFRACTION AND NONLINEARITY IN RAPID PULSE DYNAMICS |
| Principal Investigator: |
Parker, Professor DF |
| Other Investigators: |
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| Project Partners: |
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| Department: |
Sch of Mathematics |
| Organisation: |
University of Edinburgh |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 September 1998 |
Ends: |
31 December 1998 |
Value (£): |
5,900
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Panel History: |
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Summary on Grant Application Form |
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Professor Prasad will familiarise the PI (DFP) with recent developments from his group on shock dynamics and the computing of a weakly nonlinear ray theory (WNRT) along rays determined from a coupled set of equations. With the PI he will seek a formulation incorporating ideas from the PIs 1971 paper, but applied to rapid pulses which may include shocks. The gas-dynamics equations will be cast into an iterative form, using simple wave relations and Rankine-Hugoniot shock relations to describe the pulse to leading order. Estimates of magnitudes of iterative corrections will be used to determine dependence of the Riemann invariants on the total pulse strength at each location. These valued will appear in the resulting ray equations. Hence, lateral derivatives of the pulse intensity will cause ray bending (a nonlinear diffraction effect).Formulation of test examples for converging pulses and for sonic boom calculation would be desirable, though numerical implementation may have to wait until Professor Prasad returns to Bangalore. Continues collaboration with colleagues in the Oxford University Computing Laboratory will be investigated.
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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 |
| Summary |
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| Date Materialised |
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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.ed.ac.uk |