In time-domain volumetric wave-based room and architectural acoustics, accurate modelling of boundary conditions and panel absorbers is difficult, particularly when simulations are performed over a regular grid, and for geometries that do not conform well to the grid. Operation over a regular grid is ideal for parallelisation of what are normally very large computational problems. Immersed boundary methods allow the insertion of irregular structures into a regular grid arrangement through the addition of forcing terms into the underlying dynamical system. In this paper, immersed boundary methods are placed within the framework of the modelling of impedance boundaries, as well as the modelling of surfaces allowing energy transmission. Such methods are introduced and analysed first in the 1D setting, illustrating required conditions on the forcing terms that allow the specification of a known impedance boundary condition, and also conditions under which transmission is permitted. The extension to 3D is briefly presented, alongside simulation examples.
|Name||Proceedings of the International Congress on Acoustics|
|Conference||International Congress on Acoustics|
|Country/Territory||Korea, Republic of|
|Period||24/10/22 → 28/10/22|