C. Spa, T. Mateos and A. Garriga: Dispersion Error in Finite Differences schemes METHODOLOGY FOR STUDYING THE NUMERICAL SPEED OF SOUND IN FINITE DIFFERENCES SCHEMES
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چکیده
The space and time discretization inherent to all FDTD schemes introduce non-physical dispersion errors, i.e. deviations of the speed of sound from the theoretical value predicted by the governing Euler differential equations. A general methodology for computing this dispersion error via straightforward numerical simulations of the FDTD schemes is presented. The method is shown to provide remarkable accuracies of the order of 1/1000 in a wide variety of twodimensional finite difference schemes.
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