Abstract
The full potential equation is solved implicitly for supersonic conical flows with the bow shock fitted as an external boundary. Existing potential flow computational procedures capture the embedded crossflow shock within the context of transonic relaxation schemes. In this study, the crossflow shock is fitted for the first time in potential flow as an internal boundary. Hence, all shocks are implicitly fit making the computation fully conservative. For thin elliptic cones, the outer segment of the crossflow shock was found to be oblique to the incoming or supersonic crossflow. This behavior was not found for circular cones. The shock fitted solutions are compared to both Euler and potential captured solutions. The full potential shock fitted results are in favorable agreement with conservative captured solutions.
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