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Abstract
In this paper, we investigate finite difference schemes for
the 3-D wave equation using 27-point stencils on the cubic
lattice, a 13-point stencil on the face-centered cubic (FCC)
lattice, and a 9-point stencil on the body-centered cubic
(BCC) lattice. The tiling of the wavenumber space for nonCartesian grids is considered in order to analyse numerical
dispersion. Schemes are compared for computational effi-
ciency in terms of minimising numerical wave speed error.
It is shown that the 13-point scheme on the FCC lattice is
more computationally efficient than 27-point schemes on
the cubic lattice when less than 8% error in the wave speed
is desired.
the 3-D wave equation using 27-point stencils on the cubic
lattice, a 13-point stencil on the face-centered cubic (FCC)
lattice, and a 9-point stencil on the body-centered cubic
(BCC) lattice. The tiling of the wavenumber space for nonCartesian grids is considered in order to analyse numerical
dispersion. Schemes are compared for computational effi-
ciency in terms of minimising numerical wave speed error.
It is shown that the 13-point scheme on the FCC lattice is
more computationally efficient than 27-point schemes on
the cubic lattice when less than 8% error in the wave speed
is desired.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of Stockholm Musical Acoustics Conference/Sound and Music Computing Conference |
| Place of Publication | Stockholm, Sweden |
| Number of pages | 8 |
| Publication status | Published - Aug 2013 |
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Dive into the research topics of 'ON FINITE DIFFERENCE SCHEMES FOR THE 3-D WAVE EQUATION USING NON-CARTESIAN GRIDS'. Together they form a unique fingerprint.Projects
- 1 Finished
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NESS - Listening to the future: Next-generation Sound Synthesis through Simulation
Bilbao, S. (Principal Investigator)
1/01/12 → 31/12/16
Project: Research