Abstract: Based on the fifth order dissipative compact spatial finite difference scheme(DCS5) and the seven stage Runge-Kutta time integration scheme, with the principle that numerical amplification factor approaches the real amplification factor optimally, an optimal methodology for time integration scheme is proposed and a seven stage fifth order LDDRK scheme is obtained. Numerical results of onedimensional wave propagation obtained by convection equation and linearized Euler equations show that the proposed LDDRK scheme has lower dissipation than standard Runge-Kutta schemes.

Key words: computational aeroacoustics, Runge-Kutta scheme, optimization, DCS