1. Conformal method for the rectilinear digital waveguide mesh
- Author
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Moonseok Kim, Gary P. Scavone, Jung Suk Lee, and Philippe Depalle
- Subjects
Wave propagation ,Mesh generation ,Finite difference method ,Finite-difference time-domain method ,Electronic engineering ,Waveguide (acoustics) ,Boundary (topology) ,Conformal map ,Room acoustics ,Topology ,Mathematics - Abstract
The digital waveguide mesh (DWM) has proven to an efficient and accurate method for simulating multi-dimensional wave propagation in various applications such as physical modeling of musical instruments and room acoustics. However, problems appear when fitting a DWM to an arbitrary boundary because of the geometric constraints of a given mesh element. A finer mesh grid is often used in an attempt to resolve this situation, which entails an associated computational cost increase. This paper presents a conformal method for the rectilinear DWM as an efficient alternative. The proposed conformal method aims at better approximating rigid boundaries that are normally not well suited for a rectilinear DWM structure. It is inspired by the conformal method developed for the Finite Domain Time Difference (FDTD) scheme where a cell associated with the boundary is split with respect to a particular criterion and the material constant of the cell is adjusted accordingly [1]. By means of the interleaved waveguide network (IWN) [2], the conformal method is successfully achieved in the DWM.
- Published
- 2011
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