Real-time simulation of internal flow propulsion systems by matrix stability region placement

Abstract

A recently introduced real-time simulation algorithm, the Matrix Stability Region Placement (MSRP) method, is utilized to simulate a small perturbation model of the NASA Lewis Mach 2.5 40-60 mixed compression inlet. The model is representative of high speed internal flow propulsion systems which can be approximated as quasi-one-dimensional flows. The resulting system of equations, which is stiff, is also simulated by the second order Adam-Bashforth (AB-2) method. It is shown that MSRP method can be used to simulate small perturbation models of high speed internal flow propulsion systems in real-time. Furthermore, a general closed form representation of the regression coefficients of the MSRP method is formulated by the aid of the Stirling numbers of the first kind. A heuristic argument is given for the equivalence of these methods and the Gregory-Newton n-th order hold approximation techniques.