ON FINITE DIFFERENCE SCHEMES FOR THE 3-D WAVE EQUATION USING NON-CARTESIAN GRIDS

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.
Original languageEnglish
Title of host publicationProceedings of Stockholm Musical Acoustics Conference/Sound and Music Computing Conference
Place of PublicationStockholm, Sweden
Number of pages8
Publication statusPublished - Aug 2013

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