We present a method to simulate the late reverberation of a non-convex rectilinear space using digital waveguide networks (DWNs). In many delay-line-based reverberators, diffraction effects and even occlusion are often neglected due to the need for hand-tuned, non-physical mechanisms that complicate the extreme computational economy typical of such systems. We contend that a target space can be decomposed into rectangular solids following a succinct set of geometric rules, each of which correspond to a simple DWN reverberator. By defining the interactions between these systems, an approximation of diffraction and occlusion can be achieved while maintaining structural simplicity. This approach provides a promising engine for real-time synthesis of late reverberation with an arbitrary number of sources and receivers and dynamic geometry.
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