Analysis of a new high resolution upwind compact scheme

A new high-resolution upwind compact scheme is presented and analyzed, along with several previously proposed schemes, for numerical dispersion-dissipation, anisotropy, phase damping, dispersion relation preservation property and numerical stability. The schemes are tested on problems of the propagation of a initially discontinuous wave and of the transport of a sharp scalar cone. A benchmark problem of aeroacoustics is solved with the present scheme, giving satisfactory resolution. The scheme compares well with the existing schemes for the range of properties considered desirable in high resolution schemes.