The Dynamic Grid: Time-Varying Parameters for Musical Instrument Simulations Based on Finite-Difference Time-Domain Schemes

Willemsen S, Bilbao S, Ducceschi M, Serafin S. The Dynamic Grid: Time-Varying Parameters for Musical Instrument Simulations Based on Finite-Difference Time-Domain Schemes. J Audio Eng Soc. 2022;70(9):650-660. doi:10.17743/jaes.2022.0043

@article{Willemsen2022_21879,
  author = {Willemsen, Silvin and Bilbao, Stefan and Ducceschi, Michele and Serafin, Stefania},
  title = {{The Dynamic Grid: Time-Varying Parameters for Musical Instrument Simulations Based on Finite-Difference Time-Domain Schemes}},
  journal = {Journal of the Audio Engineering Society},
  volume = {70},
  number = {9},
  pages = {650--660},
  year = {2022},
  month = sep,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2022.0043},
  url = {https://doi.org/10.17743/jaes.2022.0043}
}

TY  - JOUR
TI  - The Dynamic Grid: Time-Varying Parameters for Musical Instrument Simulations Based on Finite-Difference Time-Domain Schemes
AU  - Willemsen, Silvin
AU  - Bilbao, Stefan
AU  - Ducceschi, Michele
AU  - Serafin, Stefania
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 70
IS  - 9
SP  - 650
EP  - 660
PY  - 2022
DA  - 2022/09/06
DO  - 10.17743/jaes.2022.0043
UR  - https://doi.org/10.17743/jaes.2022.0043
PB  - Audio Engineering Society
LA  - en
AB  - Several well-established approaches to physical modeling synthesis for musical instruments exist. Finite-difference time-domain methods are known for their generality and flexibility in terms of the systems one can model but are less flexible with regard to smooth parameter variations due to their reliance on a static grid. This paper presents the dynamic grid, a method to smoothly change grid configurations of finite-difference time-domain schemes based on sub-audio--rate time variation of parameters. This allows for extensions of the behavior of physical models beyond the physically possible, broadening the range of expressive possibilities for the musician. The method is applied to the 1D wave equation, the stiff string, and 2D systems, including the 2D wave equation and thin plate. Results show that the method does not introduce noticeable artifacts when changing between grid configurations for systems, including loss.
ER  -