Enhanced Acoustic Modelling for Auralisation using Hybrid Boundary Integral Methods
Lead Research Organisation:
University of Reading
Department Name: Mathematics and Statistics
Abstract
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Organisations
Publications
Chandler-Wilde S
(2014)
Acoustic scattering: high frequency boundary element methods and unified transform methods
Chandler-Wilde, S. N.
(2015)
Unified Transform for Boundary Value Problems: Applications and Advances
Gibbs A
(2021)
A high-frequency boundary element method for scattering by a class of multiple obstacles
in IMA Journal of Numerical Analysis
Gibbs Andrew
(2019)
A high frequency boundary element method for scattering by a class of multiple obstacles
in arXiv e-prints
Groth S
(2013)
Hybrid numerical-asymptotic approximation for high-frequency scattering by penetrable convex polygons
in IMA Journal of Applied Mathematics
Groth S
(2018)
A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons
in Wave Motion
Hargreaves J
(2019)
The Wave-Matching Boundary Integral Equation - An energy approach to Galerkin BEM for acoustic wave propagation problems
in Wave Motion
Hargreaves J
(2016)
A transformation approach for efficient evaluation of oscillatory surface integrals arising in three-dimensional boundary element methods
in International Journal for Numerical Methods in Engineering
Hargreaves JA
(2019)
A framework for auralization of boundary element method simulations including source and receiver directivity.
in The Journal of the Acoustical Society of America
| Description | Through the research funded on this grant, we have developed new methods for the efficient solution of high frequency scattering problems. In particular, we have developed algorithms for which the number of degrees of freedom required to achieve a given accuracy does not depend in a significant way on the frequency, also efficient algorithms for evaluating the oscillatory integrals that arise. The work undertaken under this grant most significantly represents the fullest application to date of these ideas to three-dimensional problems. This represents a key step towards the development of methods for modelling realistic acoustic scenarios of practical interest. |
| Exploitation Route | The algorithms we have developed are pushing forward the range of applications to which our ideas can be applied. Further work is required before the ideas can be used to solve realistic problems arising in industrial applications, but with each new output we get closer to achieving that ultimate goal. Others can use our ideas to generate reference solutions for testing other approaches, also as a starting point for developing the algorithms further. |
| Sectors | Aerospace, Defence and Marine,Energy,Environment,Healthcare,Security and Diplomacy |
| Description | BEM workshop (Reading) |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Industry/Business |
| Results and Impact | Workshop: "Boundary and finite element methods for high frequency scattering problems", December 15th-16th 2014, Reading. A two-day workshop bringing together mathematicians and engineers working on acoustic and electromagnetic scattering problems, to discuss recent progress in numerical methods for the solution of these problems. There was a particular focus on attempts to develop schemes that work well for high frequency problems, i.e. the case where the scattering obstacle is large compared to the wavelength of the incident wave. Both theoretical and practical issues were considered, with a key goal being to establish a better understanding of how recent theoretical progress may potentially be able to benefit more practical work. This was achieved via showcasing recent developments and by building links between mathematicians and engineers, potentially leading to future collaborative efforts. There was a large focus on boundary element methods, but domain based methods were also discussed. |
| Year(s) Of Engagement Activity | 2014 |
| URL | http://www.personal.reading.ac.uk/~sms03sl/HFBEMworkshop.htm |