Title: Optimised Compact Difference Schemes for Computational Acoustics
Authors: Christopher Beckwith, Koulis Pericleous, Valid Borajevics

Abstract:

A number of optimised high-order compact finite difference schemes are
presented, following different optimisation strategies. The schemes
aim to provide the best possible resolving efficiency among the family
of 5 parameter, 6-node stencil schemes. Comparisons are then provided
against already used schemes, such as the DRP derived schemes of Kim
and Lee (1996), or the “spectral-like” schemes provided by
Lele(1991). Numerical results from benchmark cases in 1D and 3D will
also be presented, validating the new schemes and the developed code.