Highly Efficient Simulation and Visualization of Acoustic Wave Fields

The Functional Transformation Method is an established method for digital sound synthesis via physical modeling. It starts from a physical description of the sounding object in form of a partial differential equation and solves it by suitable integral transformation in the frequency domain. After discretization, the resulting algorithms are fast enough to be implemented in full audio sample-rate. In this paper new results are presented, that extend the evaluation of the model into an efficient visualization of all physical processes with constant coefficients over regions with separable boundary conditions. In particular the simulation of wave fields is shown. A simulation program is presented, that creates animations of two-dimensional wave propagation in real-time. Furthermore, an application to the analysis of a new multi-channel sound reproduction method is shown.