| EPSRC Reference: |
GR/J92866/01 |
| Title: |
SPATIOTEMPORAL STRUCTURE IN THREE DIMENSIONAL CONVECTION |
| Principal Investigator: |
Proctor, Professor M |
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| Department: |
Applied Maths and Theoretical Physics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
08 August 1994 |
Ends: |
07 August 1997 |
Value (£): |
31,860
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| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
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Summary on Grant Application Form |
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Numerical experiments on three-dimensional convection and magnetconvection reveal a rich variety of steady, oscillatory, quasiperiodic and chaotic solutions. High performance graphical facilities are needed in order to determine the spatial properties of these solutions, and this is necessary preliminary to classifying and analysing their spatiotemporal structures. The aim of this research is to establish the bifurcation structure associated with transitions from simple steady or periodic solutions to behaviour of increasing complexity and eventually to weaken turbulence. Magnet convection provides a paradigm of oscillatory behaviour associated with the competition between stabilising and destabilising mechanisms in double-diffusive convection. Numerical investigations have already provided examples of steady convection with different planforms (rolls, squares and hexagons) as well as standing waves, travelling waves, pulsating waves and modulated waves of various types. High speed colour graphics will allow us to study transitions between these nonlinear solutions and to explore the development of subsidiary instabilities. It is only probing the spatiotemporal structures of the relevant scalar and vector fields (temperature, density, velocity, vorticity, magnetic field and electric current) that it becomes possible to analyse the bifurcations and to relate them to underlying physical processes.
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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.cam.ac.uk |