Simulation of room acoustics via block-based physical modeling with the functional transformation method

An application of block-based physical modeling for the simulation of room acoustics with the functional transformation method (FTM) is presented in this paper. In doing so, an analytic solution of the two-dimensional wave equation for rectangular regions achieved with the FTM is employed as a simple block element of the entire model. Due to a recently introduced approach to block-based modeling, it is possible to apply arbitrary boundary conditions for this block, including the connection to other blocks and the simulation of openings. By the connection of several block elements, it is possible to construct and simulate complex regions with complex boundaries. In result a new wave field simulation technique is achieved, that avoids the disadvantages of the FTM, the restriction to simple regions, while preserving its advantages like dispersion-free simulation and exact source and receiver positioning