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.
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 to carry out postgraduate research towards an MPhil/PhD exist and further information may be obtained from the NTU Graduate School.
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 Vibration and Acoustics
- Wave Motion
Sponsors and collaborators
Current and recent research is being conducted with the collaboration of:
- Paul Harris, University of Brighton
- Gregor Tanner, University of Nottingham
- Jamil Renno, ISVR, University of Southampton
- Brian Mace, University of Auckland, NZ
- Niels Sondergaard, inuTech Gmbh, Nuremberg
- Frank Vogel, inuTech Gmbh
- Dominik Loechel, inuTech Gmbh
- Dmitrii Maksimov, LV Kirensky Institute of Physics
- Stefano Giani, Durham University
- Stephen Fisher, Jaguar Land Rover
In 2013 Dr Chappell worked with Dr Gregor Tanner at the University of Nottingham to secure a 1.94 million Euro EU FP7 IAPP grant: Mid-to-High Frequency Modelling of Vehicle Noise and Vibration (MHiVec). The project started in September 2013 and is a collaboration between Nottingham Trent University, the University of Nottingham, the University of Southampton, inuTech GmbH, CDH AG and Jaguar Land Rover Ltd.
Dynamical energy analysis on mesh grids: A new tool for describing the vibro-acoustic response of complex mechanical structures. Chappell DJ, Löchel D, Søndergaard N and Tanner G, Wave Motion, 2014, 51 (4), 589-597
Discrete flow mapping: transport of phase space densities on triangulated surfaces. Chappell DJ, Tanner G, Löchel D and Søndergaard N, Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 2013, 469, 20130153
Solving the stationary Liouville equation via a boundary element method. Chappell DJ and Tanner G, Journal of Computational Physics, 2013, 234, 487-498
Boundary element dynamical energy analysis: a versatile high frequency method for two or three-dimensional problems. Chappell DJ, Giani S and Tanner G, Journal of Computational Physics, 2012, 231, 6181-6191
Dynamical energy analysis for built up acoustic systems at high frequencies. Chappell DJ, Giani S and Tanner S, Journal of the Acoustical Society of America, 2011, 130 (3), 1420-1429
Convolution quadrature Galerkin boundary element method for the wave equation with reduced quadrature weight computation. Chappell DJ, IMA Journal of Numerical Analysis, 2011, 31, 640-666
On the choice of coupling parameter in the time-domain Burton-Miller formulation. Chappell DJ and Harris PJ, Quarterly Journal of Mechanics and Applied Mathematics, 2009, 62 (4), 431-450
A Burton-Miller inverse boundary element method for near-field acoustic holography. Chappell DJ and Harris PJ, Journal of the Acoustical Society of America, 2009, 126 (1), 149-157See all of David Chappell's publications...