Artificial Boundaries
In most cases, the acoustic wave pattern that is to be simulated is not contained in a closed cavity. That is, there are boundaries in the model that do not represent a physical wall or limit of any kind. Instead, the boundary condition has to represent the interaction between the wave pattern inside the model and everything outside. Conditions of this kind are generically referred to as
artificial boundary conditions
(ABCs).
Such conditions should ideally contain complete information about the outside world, but this is not practical. After all, the artificial boundary was introduced to avoid spending degrees of freedom (DOFs) on modeling whatever is outside. The solution lies in trying to approximate the behavior of waves outside the domain using only information from the boundary itself. This is difficult in general for obvious reasons.
One particular case that occurs frequently in acoustics concerns boundaries that can be assumed to let wave energy propagate out from the domain without reflections. This leads to the introduction of a particular group of artificial boundary conditions known as
nonreflecting boundary conditions
(NRBCs), of which three kinds are available in this module:
port conditions
,
matched boundary conditions
, and
radiation boundary conditions
.
Another way to model an open nonreflecting boundary is to add a so-called perfectly matched layer (PML) domain or an absorbing layer domain. These domains use two different techniques to dampens all outgoing waves with no or minimal reflections. See, for example,
Perfectly Matched Layers (PMLs)
for more information. In pressure acoustics a special version of the PML exists as a boundary condition, the
Perfectly Matched Boundary
.