Wave Field Simulation with the Functional Transformation Method

The functional transformation method (FTM) provides a frequency domain based analytic solution of arbitrary linear partial differential equation. For wave field simulations however, its application was so far restricted to simple geometries as the FTM involves a search for the eigenmodes of the model. Recently so called block based modeling algorithms were introduced, that follow a divide-and-conquer approach. A complex geometry is split into several simple elementary blocks. These blocks are solved and discretized separately, while their connection is realized in the discrete system during run-time. In this paper a 2D wave field simulation program based on block based modeling is demonstrated. Elementary block models are solved with the FTM and can be connected together to create complex 2D geometries. The complete system benefits from the advantages of the FTM (e.g. dispersion-free simulations), while the complexity of the geometry fits the needs of typical CAD drawings