Abstract
A fully implicit nonconservative marching technique is utilized to solve the full potential flow equation in a spherical coordinate frame for supersonic inviscid flow. Transonic techniques form the basis for the numerical scheme in the cross flow plane which allows for capture of both bow and embedded shocks. A column relaxation scheme is presented which exhibits enhanced computational efficiency over ring relaxation schemes. An implicit bow shock fitting procedure satisfying the isentropic jump condition is also presented and compared to the shock capture method, shock fit Euler solutions, and experimental data for arbitrary conical surfaces.
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