Abstract:

A type of low-dissipation and low-dispersion high-order finite difference scheme is studied for computation of wave motion. An optimized sevenpoint central difference is used to approximate the spatial derivative, and two optimization methods are presented. For the time marching, the fourth order explicit RungeKutta methods (RK4 and LDDRK) are used. All effective wave-number ranges of the three spatial schemes, numerical errors of various full schemes, and minimum point numbers per wavelength (ppw) for long distance wave propagation calculation are studied. Based on the comparison, suggestions on the use of these schemes are given.

Key words: computational aeroacoustics, high-order accuracy, finite difference method