Abstract: A procedure for the numerical simulation of stagnation-free, inviscid, supersonic and hypersonic flows about geometries with sharp leading edges has been developed. Specialized grid generation techniques, an algebraic solution-adaptive grid scheme, and a modified flow solving method are discussed. Results for several waverider geometries are presented and compared with exact solutions, other numerical solutions and experimental results. The results demonstrate the ability of this procedure to produce stagnation-free Euler solutions about sharp-edged configurations and to capture the physics of the flow in these regions accurately.

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