A method of characteristics solution for modeling the internal flowfield in a nozzled Rotating Detonation Engine (RDE) in the steady, wave-fixed reference frame has been developed. Previously, a similar approach that solved the steady, two dimensional Euler equations has been shown to successfully estimate performance for RDEs with straight channels. Extending the method of characteristics solution to nozzled RDEs requires deriving the characteristic and compatibility relations for quasi-two dimensional flow with area change along the ordinate. The goal of this model is to quickly and accurately provide performance estimates for nozzled RDEs without the need for three-dimensional simulations.
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