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The simulation of two-dimensional (2D) wave propagation is an affordablecomputational task and its use can potentially improve time performance invocal tracts' acoustic analysis. Several models have been designed that rely on2D wave solvers and include 2D representations of three-dimensional (3D) vocaltract-like geometries. However, until now, only the acoustics of straight 3Dtubes with circular cross-sections have been successfully replicated with thisapproach. Furthermore, the simulation of the resulting 2D shapes requiresextremely high spatio-temporal resolutions, dramatically reducing the speedboost deriving from the usage of a 2D wave solver. In this paper, we introducean in-progress novel vocal tract model that extends the 2D Finite-DifferenceTime-Domain wave solver (2.5D FDTD) by adding tube depth, derived from the areafunctions, to the acoustic solver. The model combines the speed of a light 2Dnumerical scheme with the ability to natively simulate 3D tubes that aresymmetric in one dimension, hence relaxing previous resolution requirements. Animplementation of the 2.5D FDTD is presented, along with evaluation of itsperformance in the case of static vowel modeling. The paper discusses thecurrent features and limits of the approach, and the potential impact oncomputational acoustics applications.

An extended two-dimensional vocal tract model for fast acoustic simulation of single-axis symmetric three-dimensional tubes