Upwind leapfrog schemes in physical models with mixed modeling strategies

摘要

Block-based physical modeling with mixed modeling strategies is one of the most promising method fordigital sound synthesis. This technique proposes to model and discretize each element individually and theirinteraction topology is separately implemented. In this paper the use of the Upwind Leapfrog Scheme orLinear Bicharacteristic Scheme is proposed for digital sound synthesis of membranes (2D), into block-basedphysical modeling context. It provides an ecient and accurate alternative stencil to the classical leapfrogscheme of the Finite Difference Time Domain (FDTD) method. Moreover, the conversion of dependent waveequation variables into characteristic variables makes this method suitable to interact with Wave DigitalFilter models and then, with other paradigms. This technique is extensively presented and finally justifiedwith some examples.