Research and teaching of computational applied mathematics. Dr Chappell teaches on the modules Numerical Methods for Ordinary Differential Equations and Mathematical Recipes. He conducts research in computational applied mathematics with applications in industry.
In 2007 Dr Chappell completed his PhD at the University of Brighton on modelling transient acoustic fields radiated by vibrating elastic structures with application to modelling sound fields from loudspeakers.
He continued to work at the University of Brighton until 2009, conducting research in the numerical analysis and solution of the wave equation in unbounded domains and on numerical approaches for nearfield acoustic holography, a process whereby the acoustic intensity field may be studied on a structure from measurements of the exterior acoustic field.
In 2009 Dr Chappell moved to the University of Nottingham to work as a postdoc researching high frequency wave energy transport in built up systems. This work lead to a knowledge transfer secondment position with Jaguar Land Rover in January 2012 on modelling high frequency wave energy flow in large moulded aluminium car body components. In September 2012 he started work as a lecturer in numerical analysis at Nottingham Trent University. In September 2017 he was promoted to his present Associate Professor role.
Dr Chappell's research interests surround Industrial mathematics, mathematical modelling and numerical analysis including:
- Time-dependent wave propagation problems
- Boundary integral and boundary element methods
- Convolution quadrature methods
- Inverse problems in acoustics, electromagnetics and applications in medical imaging
- Fluid-structure interaction problems
- High frequency wave modelling
- Wave energy flow in complex industrial and engineering structures
- Numerical methods for phase space flow equations
- Uncertainty modelling
- Multiscale methods.
Opportunities arise to carry out postgraduate research towards an MPhil / PhD in the areas identified above. Further information may be obtained on the NTU Research Degrees website https://www.ntu.ac.uk/research/research-degrees-at-ntu
Refereeing for scientific journals:
- Journal of the Acoustical Society of America
- International Journal for Numerical Methods in Engineering
- Journal of Mathematical Analysis and Applications
- IMA Journal of Numerical Analysis
- IMA Journal of Applied Mathematics
- Journal of Sound and Vibration
- Journal of Vibration and Acoustics
- Numerische Mathematik
- Wave Motion
Sponsors and collaborators
Current and recent research is being conducted in collaboration with:
- Paul Harris, University of Brighton
- Gregor Tanner, University of Nottingham
- Jamil Renno, Qatar University
- Brian Mace, University of Auckland, NZ
- Niels Sondergaard, inuTech Gmbh, Nuremberg
- Dominik Loechel, inuTech Gmbh
- Dmitrii Maksimov, LV Kirensky Institute of Physics
- Stefano Giani, Durham University
- Oscar Bandtlow, Queen Mary University of London