Accurate schemes for advection and aeroacoustics

Higher order upwind leapfrog schemes for two dimensional advection, acoustics and aeroacoustics are developed and applied to several examples. Advection schemes are applied to scalar advection with uniform and nonuniform creeping flow speed. Acoustics schemes are implemented successfully in polar coordinates with new damping technique. Increasing the order of accuracy for Aeroacoustics schemes was achieved and implemented to the reflection of acoustic pulse problem.