8–12 Sept 2026
Europe/Vienna timezone

A discontinuous Galerkin approach for the radiative transfer approximation of high-frequency wave energy in complex media

FA2026/281
8 Sept 2026, 16:00
20m
Galerie C (Messe Congress Graz)

Galerie C

Messe Congress Graz

Speaker

David Chappell (Nottingham Trent University)

Description

The accurate prediction of high-frequency wave behaviour is essential for engineering applications related to noise and vibration control, but traditional finite- and boundary-element approaches typically become computationally impractical at these frequencies. We will present a transport-based framework for high frequency waves, formulated using the stationary Radiative Transfer Equation (RTE) in complex media such as piecewise homogeneous acoustic cavities and multi-plate configurations attached at line joints. Building on earlier developments in high-frequency wave energy modelling -most notably Dynamical Energy Analysis (DEA)- we retain DEA’s improved fidelity and applicability over Statistical Energy Analysis. Furthermore, the RTE is spatially discretised using a discontinuous Galerkin scheme that can be implemented efficiently for any polynomial degree basis by making use of analytic integration techniques based on Stokes’ theorem. Our method supports general finite element–style unstructured meshes with arbitrary polygonal elements and delivers competitive computation times suitable for large-scale applications

Authors

David Chappell (Nottingham Trent University) Robert Lockett (Nottingham Trent University)

Presentation materials