1. The code uses a new MacCormack-type solver, which is formally fourth order accurate in time and space. This extension of the MacCormack scheme uses Tam and Webb's Dispersion Relation Preserving methodology in its derivation. This scheme is described in greater detail in Ref. 26, and has been validated against the 2-4 scheme, which is another MacCormacktype solver. The 2-4 scheme was described by Gottlieb and Turkel27and Bayliss and Maestrello28.
2. The 2-4 scheme hasbeen used successfully ona widerangeof fluid and aeroacousticsproblems29" 32. Sankar, Reddy, and Hariharan33have evaluated this' scheme for aeroacoustics applications. The solution procedure forthe new schemeis as follows:
3. In the present code, the optimized 4-6 Runge-Kutta time marching scheme of Hu, et. al.34, is employed:
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5. V(o(5)>l 1.11946J V I