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Upwind Leapfrog Schemes in Physical Models with Mixed Modeling Strategies

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Block-based physical modeling with mixed modeling strategies is one of the most promising method for digital sound synthesis. This technique proposes to model and discretize each element individually and their interaction topology is separately implemented. In this paper the use of the Linear Bicharacteristic Scheme (LBS) or upwind leapfrog is proposed for digital sound synthesis. It provides an efficient and accurate alternative stencil to the classical leapfrog scheme of the Finite Difference Time Domain (FDTD) method. Furthermore, in this work is proposed the use of the conversion of dependent wave equation variables into characteristic variables to obtain a method suitable to interact with Wave Digital Filter models. This technique is extensively presented and finally justified with some examples.

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