  Cut-cell meshes are an attractive alternative to avoid common mesh generation
problems. For hyperbolic problems they pose additional challenges, as elements
can become arbitrarily small, leading to prohibitive time step restrictions for
explicit time stepping methods. To alleviate this small cell problem we
consider a particular stabilization method, the Domain of Dependence (DoD)
method. So far, while posessing many favorable theoretical properties, in two
dimensions the DoD method was essentially restricted to the transport equation.
In this work we extend the DoD method to the acoustic wave equation in two
dimensions and provide numerical results for validation.
