Bowed string simulation combining digital waveguide and finite-difference time-domain frameworks
Esteban Maestre, Carlos Spa, Julius O. Smith · The Journal of the Acoustical Society of America · 2013
In light of the promising results obtained by driving a low-complexity digital waveguide (DW) violin model with synthetic bowing gestures, we are currently exploring the possibilities of combining DW and finite-difference time-domain (FDTD) frameworks to construct refined physical models of string quartet instruments. Departing from state-of-the-art bowed string simulation paradigms, we extend previous approaches by combining a finite-width bow-string interaction model and a dynamic friction model based on simulating heat diffusion along the width of the bow. In our model, DW is used for string propagation, while FDTD is used for bow-string interaction and heat diffusion. The bridge termination is realized using an efficient, passive digital filter obtained from admittance measurements. In this talk, we will present and discuss the current status and future directions of our modeling work, including two-dimensional string vibration simulation for horizontal and vertical polarizations.