Methodology for studying the numerical speed of sound in finite differences schemes

Abstract

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.