Modeling the piano. Numerical Aspects.

  title={Modeling the piano. Numerical Aspects.},
  author={Juliette Chabassier and Antoine Chaigne and Marc Durufl{\'e} and Patrick Joly},
This paper deals with the discretization of our global piano model. We have to solve a complex system of coupled equations, where each subsystem has different spatial dimensions, which poses specific difficulties. The hammer-strings part is a 1D system governed by nonlinear equations. The soundboard is a 2D system with diagonal damping. The acoustic field is a 3D problem in an unbounded domain. Energy based methods allow to build an accurate and a priori stable scheme. 

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