  The numerical investigation of acoustic damping materials, such as foams,
constitutes a valuable enhancement to experimental testing. Typically, such
materials are modeled in a homogenized way in order to reduce the computational
effort and to circumvent the need for a computational mesh that resolves the
complex micro-structure. However, to gain detailed insight into the acoustic
behavior, e.g., the transmittance of noise, such fully resolved models are
mandatory. The meshing process can still be avoided by using a ficticious
domain approach. We propose the finite cell method, which combines the
ficticious domain approach with high-order finite elements and resolves the
complex geometry using special quadrature rules. In order to take into account
the fluid-filled pores of a typical damping material, a coupled vibroacoustic
problem needs to be solved. To this end, we construct two separate finite cell
discretizations and prescribe coupling conditions at the interface in the usual
manner. The only difference to a classical boundary fitted approach to
vibroacoustics is that the fluid-solid interface is immersed into the
respective discretization and does not correspond to the element boundaries.
The proposed enhancement of the finite cell method for vibroacoustics is
verified based on a comparison with commercial software and used within an
exemplary application.
