To develop numerical schemes for aeroacoustics, numerical techniques based upon the upwind leapfrog method have been devised and tested on some model problems. Fourth-order variations f the upwind leapfrog scheme are studied and methods for applying these schemes to equations with source terms and non-constant coefficients are developed. Additionally, extensions of these upwind leapfrog ideas to the multi-dimensional advection equation and the acoustic system of equations in stationary and uniform flows are studied.
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