A multidimensional state-space approach for the numerical simulation of sound propagation in enclosures

This paper presents a multidimensional state-space approach for the numerical simulation of sound propagation in enclosures. The simulation algorithm is essentially based on the wave digital filter principle however we will give a more direct access to the numerical solution of the wave equation here. To simulate sound propagation in enclosures, a detailed treatment of the boundary conditions is necessary. We focus in this paper on the treatment of memoryless boundary conditions in the new simulation algorithm.