Methodology for studying the numerical speed of sound in finite differences schemes
Methodology for studying the numerical speed of sound in finite differences schemes
Citació
- Spa C, Mateos T, Garriga A. Methodology for Studying the Numerical Speed of Sound in Finite Differences Schemes. Acta Acustica united with Acustica. 2009;95(4):690-5(6). DOI 10.3813/AAA.918197
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Descripció
Resum
The space and time discretization inherent to all FDTD schemes/nintroduce non-physical dispersion errors, i.e. deviations of/nthe speed of sound from the theoretical value predicted by/nthe governing Euler differential equations. A generalmethodology/nfor computing this dispersion error via straightforward/nnumerical simulations of the FDTD schemes is presented./nThe method is shown to provide remarkable accuracies/nof the order of 1/1000 in a wide variety of twodimensional/nfinite difference schemes.